Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	339×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	6×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4
done	170	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

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)

rewrite51.0ms

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:

5.0ms	(- 2.0 (* x 3.0))
18.0ms	(* 3.0 (- 2.0 (* x 3.0)))
27.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 2.0 (* x 3.0))
52.0ms	(* 3.0 (- 2.0 (* x 3.0)))
83.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify38.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	219	323
1	1062	277
2	5002	274
done	5002	274

prune106.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

5.0ms	(- 6.0 (* 9.0 x))
16.0ms	(* x (- 6.0 (* 9.0 x)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 6.0 (* 9.0 x))
71.0ms	(* x (- 6.0 (* 9.0 x)))

simplify102.0ms

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	190
1	583	168
2	3082	168
3	5002	168
done	5002	168

prune66.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

rewrite52.0ms

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))
20.0ms	(* (- 2.0 (* x 3.0)) x)
26.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series196.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
73.0ms	(* (- 2.0 (* x 3.0)) x)
88.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify34.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	207	312
1	816	266
2	5001	260
done	5001	260

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x))
0.2b	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-l`
21×	`pow-prod-down`
15×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
5×	`associate-r`
4×	`associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`flip3-+` `pow-plus` `associate-*l/` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `div-sub` `associate-*r/` `swap-sqr` `clear-num` `flip--`

Counts

4 → 128

Calls

4 calls:

36.0ms	(* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x)
38.0ms	(* 3.0 (* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x))
27.0ms	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
26.0ms	(* (* x 3.0) (* x 3.0))

series498.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x)
184.0ms	(* 3.0 (* (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))) x))
120.0ms	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
25.0ms	(* (* x 3.0) (* x 3.0))

simplify80.0ms

Counts

140 → 140

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	501	1317
1	2418	1112
2	5001	1112
done	5001	1112

prune223.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3
done	8	3

end0.0ms

sample396.0ms

Algorithm

intervals

Results

190.0ms	9910×	body	80	valid
29.0ms	326×	body	1280	valid
19.0ms	282×	body	640	valid
7.0ms	147×	body	320	valid
2.0ms	68×	body	160	valid