Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

403×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	37	9
3	77	9
4	111	9
5	167	9
6	327	9
7	998	9
8	3264	9
done	5000	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* 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)))
25.0ms	(* 0.12900613773279798 (* (* x x) x))
8.0ms	(* (* x x) x)

series175.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
41.0ms	(* 0.12900613773279798 (* (* x x) x))
32.0ms	(* (* x x) x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (403.0ms)

Iter	Nodes	Cost
0	80	698
1	214	506
2	778	427
3	3487	425
done	5000	425

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 46

Calls

2 calls:

3.0ms	(+ (* 0.954929658551372 x) (- (* 0.12900613773279798 (pow x 3))))
9.0ms	(* 0.12900613773279798 (pow x 3))

series136.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* 0.954929658551372 x) (- (* 0.12900613773279798 (pow x 3))))
38.0ms	(* 0.12900613773279798 (pow x 3))

simplify488.0ms

Counts

52 → 52

Iterations

Useful iterations: done (486.0ms)

Iter	Nodes	Cost
0	82	507
1	226	444
2	989	404
done	5000	403

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `neg-sub0` `distribute-lft-neg-in` `associate-+r-` `distribute-rgt-out` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 55

Calls

3 calls:

4.0ms	(+ (* 0.954929658551372 x) (- (* (* (* 0.12900613773279798 x) x) x)))
21.0ms	(* (* (* 0.12900613773279798 x) x) x)
6.0ms	(* (* 0.12900613773279798 x) x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* 0.954929658551372 x) (- (* (* (* 0.12900613773279798 x) x) x)))
36.0ms	(* (* (* 0.12900613773279798 x) x) x)
28.0ms	(* (* 0.12900613773279798 x) x)

simplify811.0ms

Counts

64 → 64

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	87	691
1	269	631
2	1440	471
done	5001	468

prune102.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
0.0b	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
0.1b	(* 0.12900613773279798 (pow x 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`associate-r`
10×	`add-exp-log`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `-commutative` `flip--` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `diff-log` `pow-prod-down` `pow-exp`

Counts

3 → 63

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
7.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
6.0ms	(* 0.12900613773279798 (pow x 2))

series178.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
95.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
25.0ms	(* 0.12900613773279798 (pow x 2))

simplify4.5s

Counts

72 → 72

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	100	743
1	232	694
2	920	611
3	4924	611
done	5000	611

prune113.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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	11
1	11	11
done	11	11

end0.0ms

sample380.0ms

Algorithm

intervals

Results

258.0ms

12054×

body

valid