Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

389×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	37	9
3	76	9
4	107	9
5	147	9
6	268	9
7	668	9
8	2187	9
done	5000	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
20.0ms	(* 0.12900613773279798 (* (* x x) x))
7.0ms	(* (* x x) x)

series169.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
36.0ms	(* 0.12900613773279798 (* (* x x) x))
35.0ms	(* (* x x) x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (638.0ms)

Iter	Nodes	Cost
0	80	698
1	206	506
2	696	427
3	3003	425
done	5000	425

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

2.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
7.0ms	(* 0.12900613773279798 (pow x 3))

series137.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: 3 (384.0ms)

Iter	Nodes	Cost
0	75	483
1	185	433
2	571	401
3	2900	399
done	5000	399

prune80.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
10.0ms	(* (* 0.12900613773279798 x) (* x x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
37.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify1.9s

Counts

40 → 40

Iterations

Useful iterations: 3 (579.0ms)

Iter	Nodes	Cost
0	63	525
1	182	402
2	659	336
3	2719	334
done	5000	334

prune53.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
0.2b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

2.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
20.0ms	(* (* (* 0.12900613773279798 x) x) x)
6.0ms	(* (* 0.12900613773279798 x) x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
39.0ms	(* (* (* 0.12900613773279798 x) x) x)
25.0ms	(* (* 0.12900613773279798 x) x)

simplify3.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	80	668
1	226	584
2	985	468
3	4740	464
done	5000	464

prune79.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample391.0ms

Algorithm

intervals

Results

262.0ms

12013×

body

valid