Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

425×

body

valid

simplify42.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

36.0ms	(* y (+ (* x 2.0) y))
21.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series74.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (+ (* x 2.0) y))
30.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify551.0ms

Counts: 41 → 41

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ (* x 2.0) y))
0.0b	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
5.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

38.0ms	(* y (+ (* x 2.0) y))
110.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
20.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
27.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (+ (* x 2.0) y))
27.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
63.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
63.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify818.0ms

Counts: 121 → 121

prune303.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.7b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.7b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.7b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

27.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
17.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
14.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
12.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
181.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
168.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
165.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify895.0ms

Counts: 66 → 66

prune318.0ms

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

simplify43.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

14072×

body

valid