Details

sample80.0ms

Algorithm

intervals

Results

14.0ms

373×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	133	9
5	214	9
6	441	9
7	1200	9
done	5000	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
36.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
33.0ms	(* 0.12900613773279798 (* x x))

series292.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
169.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
43.0ms	(* 0.12900613773279798 (* x x))

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	85	673
1	254	654
2	1553	566
done	5002	566

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite30.0ms

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:

9.0ms	(+ (* 0.954929658551372 x) (- (* 0.12900613773279798 (pow x 3))))
19.0ms	(* 0.12900613773279798 (pow x 3))

series223.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(+ (* 0.954929658551372 x) (- (* 0.12900613773279798 (pow x 3))))
59.0ms	(* 0.12900613773279798 (pow x 3))

simplify724.0ms

Counts

52 → 52

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	82	507
1	233	444
2	1181	406
done	5001	404

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `associate-r` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 37

Calls

2 calls:

17.0ms	(+ (* 0.954929658551372 x) (- (* (* 0.12900613773279798 x) (* x x))))
34.0ms	(* (* 0.12900613773279798 x) (* x x))

series185.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(+ (* 0.954929658551372 x) (- (* (* 0.12900613773279798 x) (* x x))))
45.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify935.0ms

Counts

43 → 43

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	70	547
1	216	417
2	1101	339
done	5000	335

prune97.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite73.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
25.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
37.0ms	(* (* 0.12900613773279798 x) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
172.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
37.0ms	(* (* 0.12900613773279798 x) x)

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (322.0ms)

Iter	Nodes	Cost
0	84	668
1	229	635
2	1425	575
done	5002	575

prune137.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

747.0ms

11924×

body

valid