Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

422×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	37	11
3	45	11
done	45	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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-+r+` `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:

42.0ms	(* x (+ (* 2.0 y) x))
14.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (+ (* 2.0 y) x))
32.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	73	527
1	225	493
2	763	439
3	3449	439
done	5000	439

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:

42.0ms	(* y (+ (* x 2.0) y))
23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* y (+ (* x 2.0) y))
34.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	71	523
1	218	487
2	745	447
3	3423	439
done	5001	439

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

18.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
17.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
22.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
33.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
30.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
71.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
69.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (661.0ms)

Iter	Nodes	Cost
0	60	1172
1	153	1082
2	538	994
3	2689	962
done	5001	962

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b	(+ (* (* x 2.0) y) (+ (* y y) (* x x)))
6.1b	(sqrt (+ (* (* x 2.0) y) (+ (* y y) (* x x))))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `sum-log` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

4 → 56

Calls

4 calls:

19.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
32.0ms	(+ (* (* x 2.0) y) (+ (* y y) (* x x)))
67.0ms	(sqrt (+ (* (* x 2.0) y) (+ (* y y) (* x x))))
28.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
38.0ms	(+ (* (* x 2.0) y) (+ (* y y) (* x x)))
88.0ms	(sqrt (+ (* (* x 2.0) y) (+ (* y y) (* x x))))
67.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify1.0s

Counts

68 → 68

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	100	1265
1	264	1103
2	1046	1019
done	5001	999

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

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	8	11
1	12	11
done	12	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

848.0ms

14320×

body

valid