Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	318×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify128.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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)))

rewrite99.0ms

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:

15.0ms	(- 2.0 (* x 3.0))
51.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
30.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
124.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
69.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	90	686
1	218	673
2	687	581
3	2836	574
done	5001	574

prune124.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

9.0ms	(- 6.0 (* 9.0 x))
33.0ms	(* x (- 6.0 (* 9.0 x)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- 6.0 (* 9.0 x))
112.0ms	(* x (- 6.0 (* 9.0 x)))

simplify2.2s

Counts

42 → 42

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	59	405
1	140	397
2	372	353
3	1212	353
done	5000	353

prune110.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

19.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
25.0ms	(* 9.0 (pow x 2))

series148.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
46.0ms	(* 9.0 (pow x 2))

simplify3.2s

Counts

48 → 48

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	82	476
1	206	423
2	657	370
3	2679	336
done	5000	333

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 6.0) (- (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))))
0.2b	(* (cbrt 9.0) (pow x 2))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

17.0ms	(+ (* x 6.0) (- (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))))
35.0ms	(* (cbrt 9.0) (pow x 2))
41.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series395.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(+ (* x 6.0) (- (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))))
92.0ms	(* (cbrt 9.0) (pow x 2))
120.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	116	1138
1	294	1036
2	1109	749
done	5000	591

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample785.0ms

Algorithm

intervals

Results

487.0ms	9791×	body	80	valid
58.0ms	349×	body	1280	valid
40.0ms	275×	body	640	valid
14.0ms	132×	body	320	valid
5.0ms	76×	body	160	valid