Details

sample60.0ms

Algorithm

intervals

Results

11.0ms

372×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite71.0ms

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:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
23.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
39.0ms	(* 0.12900613773279798 (* x x))

series257.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
131.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
50.0ms	(* 0.12900613773279798 (* x x))

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: 2 (147.0ms)

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

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))

rewrite25.0ms

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:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
14.0ms	(* 0.12900613773279798 (pow x 3))

series169.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
58.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.6s

Counts

49 → 49

Iterations

Useful iterations: 3 (675.0ms)

Iter	Nodes	Cost
0	75	483
1	181	433
2	565	401
3	2976	399
done	5001	399

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite80.0ms

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:

8.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
35.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
35.0ms	(* (* 0.12900613773279798 x) x)

series280.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
148.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
39.0ms	(* (* 0.12900613773279798 x) x)

simplify3.0s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.2s)

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

prune184.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (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))

rewrite74.0ms

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`
5×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 72

Calls

3 calls:

9.0ms

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

38.0ms

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

20.0ms

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

series395.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms

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

122.0ms

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

87.0ms

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

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	99	1001
1	244	734
2	886	680
done	5000	678

prune260.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	15	9
done	15	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

11905×

body

valid