Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

425×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune15.0ms

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:

39.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
12.0ms	(+ (* x x) (* (* x 2.0) y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
60.0ms	(+ (* x x) (* (* x 2.0) y))

simplify2.5s

Counts

30 → 30

Iterations

Useful iterations: 3 (853.0ms)

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

prune69.0ms

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)))

rewrite37.0ms

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:

27.0ms	(* y (+ (* x 2.0) y))
9.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* y (+ (* x 2.0) y))
30.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 2 (173.0ms)

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

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y (+ (* x 2.0) y)))
0.0b	(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
5.1b	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.1b	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))
53.0ms	(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
10.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
11.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))
32.0ms	(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
68.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
70.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

simplify3.0s

Counts

112 → 112

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	106	2898
1	225	2079
2	743	1847
3	3903	1784
done	5002	1740

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.1b	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.7b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.7b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.7b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

rewrite24.0ms

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:

8.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
177.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
163.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
147.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	80	1318
1	181	1247
2	510	1125
3	1891	1116
done	5000	1110

prune277.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

901.0ms

14072×

body

valid