Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	303×	body	80	valid
7.0ms	15×	body	640	valid
2.0ms	8×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify261.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	76	9
4	163	9
5	212	9
6	222	9
7	224	9
done	224	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

9.0ms	(- 2.0 (* x 3.0))
40.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
22.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 2.0 (* x 3.0))
114.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
91.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify850.0ms

Counts

65 → 65

Iterations

Useful iterations: done (847.0ms)

Iter	Nodes	Cost
0	90	686
1	236	673
2	1217	587
done	5000	581

prune144.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

5.0ms	(- 6.0 (* 9.0 x))
27.0ms	(* (- 6.0 (* 9.0 x)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- 6.0 (* 9.0 x))
106.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify566.0ms

Counts

38 → 38

Iterations

Useful iterations: done (564.0ms)

Iter	Nodes	Cost
0	57	369
1	140	361
2	646	325
done	5000	317

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))
0.1b	(* (- 2.0 (* x 3.0)) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

10.0ms	(- 2.0 (* x 3.0))
29.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))
17.0ms	(* (- 2.0 (* x 3.0)) x)

series286.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 2.0 (* x 3.0))
126.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))
102.0ms	(* (- 2.0 (* x 3.0)) x)

simplify602.0ms

Counts

61 → 61

Iterations

Useful iterations: done (599.0ms)

Iter	Nodes	Cost
0	86	659
1	212	648
2	962	556
done	5000	544

prune139.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(- 2.0 (* x 3.0))
26.0ms	(* (- 2.0 (* x 3.0)) x)
140.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
35.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series536.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- 2.0 (* x 3.0))
71.0ms	(* (- 2.0 (* x 3.0)) x)
227.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
201.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify986.0ms

Counts

97 → 97

Iterations

Useful iterations: done (984.0ms)

Iter	Nodes	Cost
0	123	1424
1	330	1398
2	1585	1060
done	5000	962

prune170.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample774.0ms

Algorithm

intervals

Results

416.0ms	9808×	body	80	valid
56.0ms	295×	body	640	valid
45.0ms	311×	body	1280	valid
14.0ms	156×	body	320	valid
4.0ms	60×	body	160	valid