Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

433×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	243
1	17	243
2	37	203
3	47	203
done	47	203

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`distribute-rgt-in` `add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+ (* y y) (* x (+ x (* 2.0 y))))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(+ (* y y) (* x (+ x (* 2.0 y))))

simplify948.0ms

Counts

16 → 16

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	38	5733
1	131	4339
2	767	4339
done	5002	4339

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

32.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
9.0ms	(+ (* x x) (* (* x 2.0) y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
62.0ms	(+ (* x x) (* (* x 2.0) y))

simplify1.2s

Counts

30 → 30

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	57	10844
1	210	8496
2	1461	7266
done	5000	7266

prune120.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))))
5.1b	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
5.1b	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
5.1b	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

36.0ms	(* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))))
4.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
9.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
5.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))))
168.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
141.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))
145.0ms	(cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	118	49654
1	297	43307
2	1396	43307
done	5000	42627

prune527.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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	203
1	12	203
done	12	203

end0.0ms

sample1.1s

Algorithm

intervals

Results

780.0ms

14298×

body

valid