Details

sample35.0ms

Algorithm

intervals

Results

20.0ms

332×

body

valid

simplify4.0s

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	475	11
5	1073	11
6	2848	11
done	5002	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.4b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite121.0ms

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:

70.0ms	(* (- 1.0 x) (- 3.0 x))
46.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series113.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- 1.0 x) (- 3.0 x))
77.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: 2 (377.0ms)

Iter	Nodes	Cost
0	136	998
1	406	961
2	2048	821
done	5001	821

prune183.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

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:

27.0ms	(/ (- 1.0 x) y)
19.0ms	(/ (- 3.0 x) 3.0)
56.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 1.0 x) y)
64.0ms	(/ (- 3.0 x) 3.0)
78.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.2s

Counts

147 → 147

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	202	1815
1	546	1751
2	1773	1580
done	5000	1580

prune531.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
66×	`times-frac`
42×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`unpow-prod-down` `associate-l`
19×	`associate-r`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`add-cbrt-cube`
10×	`associate-/l*`
8×	`div-exp` `prod-exp` `unswap-sqr`
6×	`associate-/r*`
4×	`pow1` `pow-exp` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `cbrt-unprod`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 146

Calls

3 calls:

27.0ms	(/ (- 1.0 x) y)
27.0ms	(/ (- 3.0 x) 3.0)
96.0ms	(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- 1.0 x) y)
41.0ms	(/ (- 3.0 x) 3.0)
60.0ms	(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

simplify1.5s

Counts

155 → 155

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	231	2106
1	555	1854
2	1981	1729
done	5000	1727

prune524.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite228.0ms

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:

29.0ms	(/ (- 1.0 x) y)
25.0ms	(/ 3.0 (- 3.0 x))
24.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
126.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- 1.0 x) y)
30.0ms	(/ 3.0 (- 3.0 x))
49.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
58.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

simplify2.1s

Counts

325 → 325

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	406	4975
1	1094	4190
2	2873	3713
done	5002	3661

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes137.0ms

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
done	9	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

672.0ms

10591×

body

valid