Details

sample57.0ms

Algorithm

intervals

Results

32.0ms

441×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	15	9
2	24	9
3	27	9
done	27	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

38.0ms	(* x (+ 2.0 x))
16.0ms	(+ (* y y) (* x (+ 2.0 x)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* x (+ 2.0 x))
61.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify909.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	70	422
1	230	398
2	1252	350
done	5001	350

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.1b	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

15.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
18.0ms	(+ (* y y) (* x (+ 2.0 x)))
23.0ms	(+ (* y y) (* x (+ 2.0 x)))
89.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
51.0ms	(+ (* y y) (* x (+ 2.0 x)))
40.0ms	(+ (* y y) (* x (+ 2.0 x)))
53.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	111	2437
1	287	1777
2	1609	1535
done	5002	1496

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.3b	(pow (+ (* y y) (* x (+ 2.0 x))) 3)
34.1b	(cbrt (pow (+ (* y y) (* x (+ 2.0 x))) 3))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `associate-+r+` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

22.0ms	(* x (+ 2.0 x))
22.0ms	(+ (* y y) (* x (+ 2.0 x)))
17.0ms	(pow (+ (* y y) (* x (+ 2.0 x))) 3)
16.0ms	(cbrt (pow (+ (* y y) (* x (+ 2.0 x))) 3))

series264.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* x (+ 2.0 x))
45.0ms	(+ (* y y) (* x (+ 2.0 x)))
125.0ms	(pow (+ (* y y) (* x (+ 2.0 x))) 3)
39.0ms	(cbrt (pow (+ (* y y) (* x (+ 2.0 x))) 3))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (695.0ms)

Iter	Nodes	Cost
0	134	1532
1	441	1308
2	2850	1152
done	5001	1152

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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	7	9
1	10	9
done	10	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

761.0ms

14247×

body

valid