Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify182.0ms

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: 0.2b

localize11.0ms

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)

rewrite98.0ms

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))
35.0ms	(* 3.0 (- 2.0 (* x 3.0)))
51.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series272.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- 2.0 (* x 3.0))
68.0ms	(* 3.0 (- 2.0 (* x 3.0)))
138.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify846.0ms

Counts

65 → 65

Iterations

Useful iterations: done (843.0ms)

Iter	Nodes	Cost
0	90	686
1	235	673
2	1215	587
done	5000	579

prune167.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite86.0ms

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:

14.0ms	(- 2.0 (* x 3.0))
35.0ms	(* (- 2.0 (* x 3.0)) x)
36.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series298.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- 2.0 (* x 3.0))
103.0ms	(* (- 2.0 (* x 3.0)) x)
132.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify671.0ms

Counts

61 → 61

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	86	659
1	212	648
2	970	556
done	5000	544

prune152.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series187.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- 6.0 (* 9.0 x))
126.0ms	(* x (- 6.0 (* 9.0 x)))

simplify3.6s

Counts

42 → 42

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	59	405
1	151	397
2	620	361
3	4754	355
done	5001	355

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

11.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
22.0ms	(* 9.0 (pow x 2))

series135.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
37.0ms	(* 9.0 (pow x 2))

simplify746.0ms

Counts

48 → 48

Iterations

Useful iterations: done (744.0ms)

Iter	Nodes	Cost
0	81	476
1	220	423
2	1110	372
done	5001	370

prune103.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample837.0ms

Algorithm

intervals

Results

441.0ms	9943×	body	80	valid
77.0ms	303×	body	1280	valid
33.0ms	278×	body	640	valid
14.0ms	149×	body	320	valid
4.0ms	64×	body	160	valid