Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	65	11
3	175	11
4	463	11
5	1156	11
6	4154	11
done	5001	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
6.5b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

19.0ms	(* (- 1.0 x) (- 3.0 x))
15.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
50.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1000.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	188	1602
1	503	1390
2	2680	1139
done	5000	1139

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 3.0 (- 3.0 x))
0.1b	(* y (/ 3.0 (- 3.0 x)))
0.1b	(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
36×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1` `associate-/r/`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ 3.0 (- 3.0 x))
15.0ms	(* y (/ 3.0 (- 3.0 x)))
13.0ms	(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series116.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 3.0 (- 3.0 x))
39.0ms	(* y (/ 3.0 (- 3.0 x)))
47.0ms	(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify802.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	208	1511
1	529	1437
2	2386	1277
done	5000	1277

prune237.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 3.0 (- 3.0 x))
0.1b	(* (/ 3.0 (- 3.0 x)) y)
0.1b	(/ (- 1.0 x) (* (/ 3.0 (- 3.0 x)) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
36×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-l`
19×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1` `associate-/r/`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `associate-/l/` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ 3.0 (- 3.0 x))
15.0ms	(* (/ 3.0 (- 3.0 x)) y)
13.0ms	(/ (- 1.0 x) (* (/ 3.0 (- 3.0 x)) y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 3.0 (- 3.0 x))
27.0ms	(* (/ 3.0 (- 3.0 x)) y)
49.0ms	(/ (- 1.0 x) (* (/ 3.0 (- 3.0 x)) y))

simplify706.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	214	1497
1	547	1442
2	2144	1280
done	5000	1280

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 3.0 (- 3.0 x))
0.1b	(/ 1 (/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x)))
0.1b	(* y (/ 3.0 (- 3.0 x)))
0.1b	(/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
54×	`add-exp-log`
46×	`add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
21×	`associate-r` `associate-/r*`
15×	`associate-/r/`
14×	`cbrt-undiv`
13×	`distribute-lft-out--` `difference-of-squares`
10×	`prod-exp`
8×	`div-inv`
7×	`pow1` `flip3--` `flip--` `associate-/l*`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 191

Calls

4 calls:

5.0ms	(/ 3.0 (- 3.0 x))
17.0ms	(/ 1 (/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x)))
18.0ms	(* y (/ 3.0 (- 3.0 x)))
10.0ms	(/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 3.0 (- 3.0 x))
59.0ms	(/ 1 (/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x)))
38.0ms	(* y (/ 3.0 (- 3.0 x)))
68.0ms	(/ (* y (/ 3.0 (- 3.0 x))) (- 1.0 x))

simplify1.6s

Counts

203 → 203

Iterations

Useful iterations: 2 (298.0ms)

Iter	Nodes	Cost
0	320	3127
1	796	2891
2	3580	2527
done	5000	2527

prune344.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample422.0ms

Algorithm

intervals

Results

259.0ms

10648×

body

valid