Details

sample36.0ms

Algorithm

intervals

Results

19.0ms

366×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	82	9
4	121	9
5	126	9
6	145	9
7	214	9
8	447	9
9	1349	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `-un-lft-identity` `distribute-lft-in` `associate-r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

49.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify931.0ms

Counts

28 → 28

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	57	367
1	180	354
2	1206	308
done	5000	294

prune66.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
0.2b	(* 3.0 (* x x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down`
2×	`*-commutative` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

3 → 71

Calls

3 calls:

25.0ms	(* (- 2.0) (pow x 3))
28.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
17.0ms	(* 3.0 (* x x))

series232.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (- 2.0) (pow x 3))
128.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
42.0ms	(* 3.0 (* x x))

simplify1.8s

Counts

80 → 80

Iterations

Useful iterations: 2 (445.0ms)

Iter	Nodes	Cost
0	113	779
1	351	711
2	2429	633
done	5003	633

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* 1 (* x (* x 3.0))) (* (- 2.0) (pow x 3)))
0.2b	(* x (* x 3.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down`
2×	`*-commutative` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

3 → 70

Calls

3 calls:

30.0ms	(* (- 2.0) (pow x 3))
50.0ms	(+ (* 1 (* x (* x 3.0))) (* (- 2.0) (pow x 3)))
16.0ms	(* x (* x 3.0))

series205.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- 2.0) (pow x 3))
122.0ms	(+ (* 1 (* x (* x 3.0))) (* (- 2.0) (pow x 3)))
32.0ms	(* x (* x 3.0))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: 2 (479.0ms)

Iter	Nodes	Cost
0	113	807
1	341	693
2	2232	633
done	5000	633

prune383.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
0.2b	(* (cbrt 3.0) (* x x))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
30×	`pow1`
21×	`add-sqr-sqrt` `prod-exp`
20×	`add-cbrt-cube`
19×	`cbrt-unprod`
18×	`pow-prod-down`
17×	`associate-l`
14×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp` `unswap-sqr`
4×	`cbrt-prod` `unpow-prod-down` `cube-prod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

4 → 103

Calls

4 calls:

31.0ms	(* (- 2.0) (pow x 3))
74.0ms	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
99.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
19.0ms	(* (cbrt 3.0) (* x x))

series533.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- 2.0) (pow x 3))
229.0ms	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x))) (* (- 2.0) (pow x 3)))
139.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
96.0ms	(* (cbrt 3.0) (* x x))

simplify3.0s

Counts

115 → 115

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	145	1435
1	443	1308
2	3067	994
done	5002	860

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	21	12
2	26	12
3	27	12
done	27	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

914.0ms

11927×

body

valid