Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

422×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	35	9
4	43	9
5	46	9
done	46	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ (* x x) (* 3 (* y y)))
18.0ms	(* 3 (* y y))

series73.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* 3 (* y y)))
32.0ms	(* 3 (* y y))

simplify3.9s

Counts

36 → 36

Iterations

Useful iterations: 3 (467.0ms)

Iter	Nodes	Cost
0	57	370
1	157	340
2	476	296
3	1346	288
4	3542	288
done	5000	288

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.1b	(* (* 3 y) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

15.0ms	(+ (* x x) (* (* 3 y) y))
32.0ms	(* (* 3 y) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* x x) (* (* 3 y) y))
48.0ms	(* (* 3 y) y)

simplify3.4s

Counts

35 → 35

Iterations

Useful iterations: 3 (902.0ms)

Iter	Nodes	Cost
0	59	365
1	172	335
2	631	291
3	1818	281
done	5000	281

prune69.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.2b	(* (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))))
6.1b	(sqrt (+ (* x x) (* (* 3 y) y)))
6.1b	(sqrt (+ (* x x) (* (* 3 y) y)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

24.0ms	(* (* 3 y) y)
57.0ms	(* (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))))
9.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))
13.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 3 y) y)
51.0ms	(* (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))))
80.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))
56.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))

simplify2.7s

Counts

117 → 117

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	117	2369
1	249	1646
2	824	1444
3	2453	1359
done	5001	1331

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
6.1b	(sqrt (+ (* x x) (* (* 3 y) y)))
6.1b	(sqrt (+ (* x x) (* (* (* 3 y) (* (cbrt y) (cbrt y))) (cbrt y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
16.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))
9.0ms	(sqrt (+ (* x x) (* (* (* 3 y) (* (cbrt y) (cbrt y))) (cbrt y))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt y)
308.0ms	(cbrt y)
78.0ms	(sqrt (+ (* x x) (* (* 3 y) y)))
110.0ms	(sqrt (+ (* x x) (* (* (* 3 y) (* (cbrt y) (cbrt y))) (cbrt y))))

simplify3.5s

Counts

64 → 64

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	89	815
1	201	720
2	583	530
3	2837	518
done	5001	510

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

14340×

body

valid