Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

425×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite50.0ms

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:

36.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
13.0ms	(+ (* x x) (* (* x 2.0) y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
59.0ms	(+ (* x x) (* (* x 2.0) y))

simplify2.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (832.0ms)

Iter	Nodes	Cost
0	58	525
1	190	459
2	773	381
3	3577	373
done	5000	373

prune79.0ms

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

rewrite35.0ms

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:

25.0ms	(* y (+ (* x 2.0) y))
9.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* y (+ (* x 2.0) y))
40.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	72	527
1	221	487
2	776	439
3	3646	439
done	5000	439

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite230.0ms

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:

29.0ms	(* y (+ (* x 2.0) y))
142.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
22.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
34.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* y (+ (* x 2.0) y))
39.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
66.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
81.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify3.6s

Counts

121 → 121

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	130	2877
1	302	2068
2	965	1880
3	4346	1777
done	5000	1743

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite105.0ms

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:

28.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
24.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
32.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
20.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
560.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
230.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
199.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: 3 (384.0ms)

Iter	Nodes	Cost
0	80	1318
1	181	1263
2	479	1157
3	1663	1110
done	5000	1110

prune275.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

810.0ms

14072×

body

valid