Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

461×

body

valid

simplify4.0ms

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite51.0ms

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+`

Counts

2 → 24

Calls

2 calls:

42.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
9.0ms	(+ (* x x) (* (* x 2.0) y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
42.0ms	(+ (* x x) (* (* x 2.0) y))

simplify156.0ms

Counts: 30 → 30

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

20.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
25.0ms	(* x (+ (* 2.0 y) x))

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
39.0ms	(* x (+ (* 2.0 y) x))

simplify36.0ms

Counts: 41 → 41

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

30.0ms	(* y (+ (* x 2.0) y))
17.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (+ (* x 2.0) y))
27.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify37.0ms

Counts: 41 → 41

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series861.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt x) (cbrt x))
205.0ms	(cbrt x)
203.0ms	(cbrt x)
210.0ms	(cbrt x)

simplify87.0ms

Counts: 85 → 85

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

14314×

body

valid