Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

433×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
3	47
2	37
1	17
0	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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 (* y 2.0))))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify400.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	5002
2	767
1	131
0	38

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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:

31.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
9.0ms	(+ (* x x) (* (* x 2.0) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
52.0ms	(+ (* x x) (* (* x 2.0) y))

simplify674.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
2	1461
1	210
0	57

prune129.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))) (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))))
5.1b	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
5.1b	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
5.1b	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))

rewrite182.0ms

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:

138.0ms	(* (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))) (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))))
17.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
11.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
12.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))) (cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2))))
193.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
181.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))
197.0ms	(cbrt (+ (* y (+ (* 2.0 x) y)) (pow x 2)))

simplify590.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1224
1	285
0	117

prune599.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

856.0ms

14298×

body

valid