Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	296×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	13×	body	640	valid
0.0ms	7×	body	320	valid

simplify60.0ms

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

prune2.0ms

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)

rewrite23.0ms

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:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* 3.0 (- 2.0 (* x 3.0)))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series179.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 2.0 (* x 3.0))
53.0ms	(* 3.0 (- 2.0 (* x 3.0)))
87.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.1s

Counts

65 → 65

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	90	686
1	217	673
2	814	591
3	4078	584
done	5001	583

prune107.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify989.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	47	237
1	113	234
2	402	206
3	1852	200
done	5001	200

prune46.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))

rewrite25.0ms

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:

2.0ms	(- 2.0 (* x 3.0))
10.0ms	(* (- 2.0 (* x 3.0)) x)
11.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
70.0ms	(* (- 2.0 (* x 3.0)) x)
84.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.2s

Counts

61 → 61

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	86	659
1	205	648
2	710	566
3	3714	553
done	5001	552

prune106.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* (- 2.0 (* x 3.0)) x)
39.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
13.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series421.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 2.0 (* x 3.0))
72.0ms	(* (- 2.0 (* x 3.0)) x)
173.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
133.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify547.0ms

Counts

97 → 97

Iterations

Useful iterations: done (544.0ms)

Iter	Nodes	Cost
0	123	1424
1	326	1398
2	1208	1052
done	5000	1046

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes44.0ms

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

sample365.0ms

Algorithm

intervals

Results

190.0ms	9825×	body	80	valid
31.0ms	373×	body	1280	valid
20.0ms	299×	body	640	valid
6.0ms	117×	body	320	valid
3.0ms	77×	body	160	valid