Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	308×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify191.0ms

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

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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:

54.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
31.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
88.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.1s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	80	554
1	197	546
2	648	464
3	2844	457
done	5000	457

prune113.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

6.0ms	(- 6.0 (* 9.0 x))
23.0ms	(* x (- 6.0 (* 9.0 x)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 6.0 (* 9.0 x))
114.0ms	(* x (- 6.0 (* 9.0 x)))

simplify2.1s

Counts

42 → 42

Iterations

Useful iterations: 2 (85.0ms)

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

prune81.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite67.0ms

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:

27.0ms	(* (- 2.0 (* x 3.0)) x)
38.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series197.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.8s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	74	527
1	182	521
2	667	439
3	2977	426
done	5000	426

prune137.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (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))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

20.0ms	(* (- 2.0 (* x 3.0)) x)
139.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
43.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series550.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* (- 2.0 (* x 3.0)) x)
269.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
188.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	111	1292
1	290	1271
2	1161	935
done	5000	809

prune167.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes24.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample934.0ms

Algorithm

intervals

Results

507.0ms	9825×	body	80	valid
96.0ms	275×	body	640	valid
54.0ms	296×	body	1280	valid
17.0ms	165×	body	320	valid
5.0ms	70×	body	160	valid