Details

sample218.0ms

Algorithm

intervals

Results

65.0ms

372×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	102	9
5	145	9
6	281	9
7	739	9
8	2436	9
done	5000	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite88.0ms

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:

11.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
34.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
38.0ms	(* 0.12900613773279798 (* x x))

series301.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
139.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
48.0ms	(* 0.12900613773279798 (* x x))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	85	673
1	197	636
2	577	564
3	2178	564
done	5000	564

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

18.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
28.0ms	(* 0.12900613773279798 (pow x 3))

series226.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
78.0ms	(* 0.12900613773279798 (pow x 3))

simplify4.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	83	507
1	212	444
2	765	404
3	4239	400
done	5000	400

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite81.0ms

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))
33.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
35.0ms	(* (* 0.12900613773279798 x) x)

series320.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
188.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
52.0ms	(* (* 0.12900613773279798 x) x)

simplify2.7s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	84	668
1	203	635
2	701	561
3	2592	557
done	5000	557

prune193.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

0.2b

(* (sqrt 0.12900613773279798) (pow x 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

11.0ms

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

31.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

20.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

series433.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

132.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

88.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	106	1021
1	273	745
2	1103	683
done	5000	679

prune209.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes23.0ms

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

sample1.4s

Algorithm

intervals

Results

1.1s

11905×

body

valid