Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

336×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	65	11
3	175	11
4	485	11
5	1608	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.2b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 63

Calls

2 calls:

40.0ms	(* (- 1.0 x) (- 3.0 x))
40.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- 1.0 x) (- 3.0 x))
63.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.3s

Counts

69 → 69

Iterations

Useful iterations: 2 (434.0ms)

Iter	Nodes	Cost
0	136	998
1	418	961
2	2673	821
done	5001	821

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 138

Calls

3 calls:

33.0ms	(/ (- 3.0 x) 3.0)
31.0ms	(/ (- 1.0 x) y)
99.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series208.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- 3.0 x) 3.0)
53.0ms	(/ (- 1.0 x) y)
75.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	202	1815
1	578	1751
2	3326	1600
done	5000	1590

prune361.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
237×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
140×	`add-cube-cbrt`
68×	`associate-r`
64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
30×	`div-exp`
29×	`associate-/r*`
19×	`associate-l`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
9×	`flip3--` `flip--`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 313

Calls

4 calls:

11.0ms	(/ 3.0 (- 3.0 x))
18.0ms	(/ (- 1.0 x) y)
18.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
94.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 3.0 (- 3.0 x))
43.0ms	(/ (- 1.0 x) y)
64.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
74.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

simplify561.0ms

Counts

325 → 325

Iterations

Useful iterations: done (549.0ms)

Iter	Nodes	Cost
0	406	4975
1	1279	4216
done	5001	3892

prune800.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))))

rewrite105.0ms

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×	`flip3--` `associate-l` `flip--` `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 → 108

Calls

3 calls:

15.0ms	(/ 3.0 (- 3.0 x))
51.0ms	(* y (/ 3.0 (- 3.0 x)))
33.0ms	(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 3.0 (- 3.0 x))
60.0ms	(* y (/ 3.0 (- 3.0 x)))
69.0ms	(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	202	1459
1	527	1407
2	2270	1257
done	5002	1251

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	10	11
done	10	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

917.0ms

10589×

body

valid