Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	306×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid

simplify185.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	75	9
4	133	9
5	151	9
done	151	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:

11.0ms	(- 2.0 (* x 3.0))
26.0ms	(* 3.0 (- 2.0 (* x 3.0)))
35.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series300.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- 2.0 (* x 3.0))
103.0ms	(* 3.0 (- 2.0 (* x 3.0)))
134.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.6s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	90	686
1	218	673
2	685	581
3	2831	574
done	5000	574

prune163.0ms

Pruning

9 alts after pruning (9 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)

rewrite29.0ms

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))
23.0ms	(* (- 6.0 (* 9.0 x)) x)

series140.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- 6.0 (* 9.0 x))
85.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.8s

Counts

38 → 38

Iterations

Useful iterations: 3 (441.0ms)

Iter	Nodes	Cost
0	57	369
1	135	361
2	419	323
3	1395	317
done	5000	317

prune88.0ms

Pruning

8 alts after pruning (7 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	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite58.0ms

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:

5.0ms	(- 2.0 (* x 3.0))
22.0ms	(* (- 2.0 (* x 3.0)) x)
29.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series308.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 2.0 (* x 3.0))
112.0ms	(* (- 2.0 (* x 3.0)) x)
136.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	86	659
1	206	648
2	707	556
3	3013	543
done	5000	543

prune136.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)))
0.3b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite249.0ms

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))
40.0ms	(* (- 2.0 (* x 3.0)) x)
149.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
51.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series620.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- 2.0 (* x 3.0))
90.0ms	(* (- 2.0 (* x 3.0)) x)
246.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
213.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify2.2s

Counts

97 → 97

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	123	1424
1	314	1398
2	1204	1052
done	5000	926

prune217.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample879.0ms

Algorithm

intervals

Results

455.0ms	9829×	body	80	valid
117.0ms	324×	body	1280	valid
39.0ms	298×	body	640	valid
13.0ms	128×	body	320	valid
5.0ms	78×	body	160	valid