Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

441×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	46	9
5	50	9
done	50	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

14.0ms	(+ (* x x) (* 3 (* y y)))
21.0ms	(* 3 (* y y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x x) (* 3 (* y y)))
36.0ms	(* 3 (* y y))

simplify667.0ms

Counts

36 → 36

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	57	370
1	193	348
2	1097	296
done	5000	288

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

9.0ms	(+ (* x x) (* (* 3 y) y))
29.0ms	(* (* 3 y) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x x) (* (* 3 y) y))
29.0ms	(* (* 3 y) y)

simplify723.0ms

Counts

35 → 35

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	59	365
1	189	337
2	1221	293
done	5000	283

prune73.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

17.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
92.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
27.0ms	(* (cbrt 3) (* y y))

series240.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
92.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
68.0ms	(* (cbrt 3) (* y y))

simplify837.0ms

Counts

71 → 71

Iterations

Useful iterations: done (835.0ms)

Iter	Nodes	Cost
0	89	1026
1	278	960
2	1458	660
done	5000	529

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (sqrt 3)) y)
0.1b	(* (cbrt (sqrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
0.3b	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-r` `sqrt-prod`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

14.0ms	(* (cbrt (sqrt 3)) y)
17.0ms	(* (cbrt (sqrt 3)) y)
172.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
44.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

series1.7s

Counts

4 → 12

Calls

4 calls:

424.0ms	(* (cbrt (sqrt 3)) y)
404.0ms	(* (cbrt (sqrt 3)) y)
413.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
416.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

simplify2.2s

Counts

156 → 156

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	107	2003
1	348	1802
2	2531	1324
done	5001	1289

prune331.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

712.0ms

14263×

body

valid