Details

sample18.0ms

Algorithm

intervals

Results

9.0ms	323×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	67	9
4	106	9
5	121	9
done	121	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

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)

rewrite19.0ms

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:

7.0ms	(* 3.0 (- 2.0 (* x 3.0)))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series136.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 3.0 (- 2.0 (* x 3.0)))
81.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	80	554
1	198	546
2	674	464
3	2894	457
done	5000	456

prune84.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

7.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify1.7s

Counts

23 → 23

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	47	237
1	113	234
2	398	206
3	1643	200
done	5000	200

prune51.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))

rewrite20.0ms

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:

8.0ms	(* (- 2.0 (* x 3.0)) x)
11.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series150.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (- 2.0 (* x 3.0)) x)
82.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	74	527
1	183	521
2	673	439
3	3418	426
done	5000	425

prune81.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)
0.2b	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

rewrite104.0ms

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:

21.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
71.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
8.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

series378.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
170.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
84.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

simplify888.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	126	1703
1	354	1677
2	1433	1142
done	5000	1142

prune157.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

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	9
1	10	9
done	10	9

end0.0ms

sample360.0ms

Algorithm

intervals

Results

190.0ms	9919×	body	80	valid
27.0ms	321×	body	1280	valid
22.0ms	291×	body	640	valid
7.0ms	141×	body	320	valid
2.0ms	66×	body	160	valid