Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	314×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify305.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

35.0ms	(* 3.0 (- 2.0 (* x 3.0)))
48.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series240.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* 3.0 (- 2.0 (* x 3.0)))
150.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.5s

Counts

50 → 50

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	80	554
1	212	546
2	1138	468
done	5000	462

prune234.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

35.0ms

(* x (- 6.0 (* x 9.0)))

series123.0ms

Counts

1 → 3

Calls

1 calls:

123.0ms

(* x (- 6.0 (* x 9.0)))

simplify3.9s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	51	273
1	133	270
2	569	244
3	4576	238
done	5001	238

prune153.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

35.0ms	(* (- 2.0 (* x 3.0)) x)
61.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series292.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* (- 2.0 (* x 3.0)) x)
159.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify969.0ms

Counts

46 → 46

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	74	527
1	188	521
2	946	443
done	5001	427

prune215.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

103.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
317.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
34.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

series830.0ms

Counts

3 → 9

Calls

3 calls:

277.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
371.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
182.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	126	1703
1	392	1677
2	2529	1234
done	5000	933

prune379.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

663.0ms	9974×	body	80	valid
74.0ms	345×	body	1280	valid
46.0ms	267×	body	640	valid
16.0ms	123×	body	320	valid
6.0ms	71×	body	160	valid