Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

433×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	7	202
1	13	202
2	23	202
3	36	163
4	47	163
5	51	163
done	51	163

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

13.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* 3 (* y y)) (* x x))
42.0ms	(* 3 (* y y))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	57	8265
1	193	6059
2	1077	6059
done	5000	6059

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

26.0ms	(+ (* (* 3 y) y) (* x x))
25.0ms	(* (* 3 y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (* 3 y) y) (* x x))
32.0ms	(* (* 3 y) y)

simplify1.2s

Counts

35 → 35

Iterations

Useful iterations: 2 (329.0ms)

Iter	Nodes	Cost
0	59	8141
1	189	5974
2	1197	5894
done	5000	5894

prune135.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite157.0ms

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×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 62

Calls

3 calls:

60.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
73.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
21.0ms	(* (cbrt 3) (* y y))

series310.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
125.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
69.0ms	(* (cbrt 3) (* y y))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	89	21767
1	277	18531
2	1441	17049
done	5001	12368

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite559.0ms

Algorithm

rewrite-expression-head

Rules

95×	`pow1` `add-exp-log`
69×	`pow-prod-down` `prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`associate-l`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 118

Calls

4 calls:

218.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))) (* x x))
16.0ms	(* (cbrt (cbrt 3)) (* y y))
68.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
245.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))) (* x x))
325.0ms	(* (cbrt (cbrt 3)) (* y y))
79.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
130.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

simplify2.9s

Counts

130 → 130

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	142	56370
1	505	48052
2	2988	46412
done	5001	25005

prune409.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	9	163
done	9	163

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

14306×

body

valid