Details

sample43.0ms

Algorithm

intervals

Results

27.0ms

480×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	15	9
2	24	9
3	26	9
done	26	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

54.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
12.0ms	(+ (* x 2.0) (* x x))

series127.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
80.0ms	(+ (* x 2.0) (* x x))

simplify1.6s

Counts

31 → 31

Iterations

Useful iterations: 3 (654.0ms)

Iter	Nodes	Cost
0	57	440
1	181	340
2	666	326
3	2694	302
done	5002	302

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x (+ 2.0 x)) (* y y)))
0.0b	(* x (+ 2.0 x))
0.0b	(* x (+ 2.0 x))
0.1b	(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`pow1`
21×	`*-un-lft-identity` `sqrt-prod`
17×	`add-cube-cbrt`
14×	`sqrt-div` `associate-r`
12×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`associate-*r/` `unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 118

Calls

4 calls:

22.0ms	(sqrt (+ (* x (+ 2.0 x)) (* y y)))
28.0ms	(* x (+ 2.0 x))
30.0ms	(* x (+ 2.0 x))
107.0ms	(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(sqrt (+ (* x (+ 2.0 x)) (* y y)))
63.0ms	(* x (+ 2.0 x))
74.0ms	(* x (+ 2.0 x))
47.0ms	(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

simplify2.7s

Counts

130 → 130

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	129	2355
1	289	1655
2	916	1497
3	4054	1422
done	5002	1394

prune309.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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	8	11
1	11	11
done	11	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

769.0ms

14173×

body

valid