Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

450×

body

valid

simplify4.0s

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

14.0ms	(+ (* x x) (* y y))
48.0ms	(+ (+ (* x x) (* y y)) (* y y))
126.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x x) (* y y))
45.0ms	(+ (+ (* x x) (* y y)) (* y y))
50.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.0s

Counts: 47 → 47

prune115.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

9.0ms	(+ (* x x) (* y (+ y y)))
37.0ms	(+ (+ (* x x) (* y (+ y y))) (* y y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* y (+ y y)))
38.0ms	(+ (+ (* x x) (* y (+ y y))) (* y y))

simplify1.9s

Counts: 32 → 32

prune118.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 3 y) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

20.0ms

(* (* 3 y) y)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* 3 y) y)

simplify770.0ms

Counts: 21 → 21

prune54.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.4b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
19.6b	(sqrt (* (* 3 y) y))
19.6b	(sqrt (* (* 3 y) y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

19.0ms	(* (* 3 y) y)
132.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
13.0ms	(sqrt (* (* 3 y) y))
25.0ms	(sqrt (* (* 3 y) y))

series218.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* 3 y) y)
100.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
46.0ms	(sqrt (* (* 3 y) y))
41.0ms	(sqrt (* (* 3 y) y))

simplify731.0ms

Counts: 120 → 120

prune250.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify17.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

911.0ms

14233×

body

valid