Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

371×

body

valid

simplify2.1s

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	2166	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	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite37.0ms

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)))
8.0ms	(* (* x x) x)
24.0ms	(* 0.12900613773279798 (* (* x x) x))

series169.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (481.0ms)

Iter	Nodes	Cost
0	80	698
1	205	506
2	692	427
3	2960	425
done	5000	425

prune101.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
0.1b	(* 0.12900613773279798 (pow (pow x 3) 1))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
15.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

series138.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
36.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

simplify2.9s

Counts

58 → 58

Iterations

Useful iterations: 3 (666.0ms)

Iter	Nodes	Cost
0	102	697
1	246	503
2	772	464
3	4964	462
done	5000	462

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* x (* 0.12900613773279798 x)) (pow x 1)))
0.1b	(* x (* 0.12900613773279798 x))
0.1b	(* (* x (* 0.12900613773279798 x)) (pow x 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
21×	`prod-exp`
17×	`add-cbrt-cube`
14×	`pow1`
9×	`pow-prod-down` `cbrt-unprod`
8×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-l`
3×	`pow-to-exp` `unpow-prod-down` `pow-exp`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `sqr-pow`

Counts

3 → 61

Calls

3 calls:

2.0ms	(- (* 0.954929658551372 x) (* (* x (* 0.12900613773279798 x)) (pow x 1)))
6.0ms	(* x (* 0.12900613773279798 x))
22.0ms	(* (* x (* 0.12900613773279798 x)) (pow x 1))

series160.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* (* x (* 0.12900613773279798 x)) (pow x 1)))
27.0ms	(* x (* 0.12900613773279798 x))
36.0ms	(* (* x (* 0.12900613773279798 x)) (pow x 1))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	101	867
1	280	689
2	926	532
3	3994	522
done	5000	522

prune104.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (pow (* x x) 1)))
0.2b	(* (* 0.12900613773279798 x) (pow (* x x) 1))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

2.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (pow (* x x) 1)))
8.0ms	(* (* 0.12900613773279798 x) (pow (* x x) 1))

series138.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (pow (* x x) 1)))
40.0ms	(* (* 0.12900613773279798 x) (pow (* x x) 1))

simplify3.0s

Counts

44 → 44

Iterations

Useful iterations: 3 (925.0ms)

Iter	Nodes	Cost
0	79	638
1	215	417
2	865	366
3	4531	362
done	5000	362

prune70.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	16	11
done	16	11

end0.0ms

sample382.0ms

Algorithm

intervals

Results

258.0ms

11855×

body

valid