Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

330×

body

valid

simplify12.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	42	9
3	79	9
4	108	9
5	123	9
6	170	9
7	734	9
8	4952	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.12) 0.253)
0.1b	(* x (+ (* x 0.12) 0.253))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ (* x 0.12) 0.253)
36.0ms	(* x (+ (* x 0.12) 0.253))

series154.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x 0.12) 0.253)
109.0ms	(* x (+ (* x 0.12) 0.253))

simplify680.0ms

Counts

39 → 39

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	60	377
1	187	371
2	811	335
done	5001	327

prune177.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x 0.12) x) (* 0.253 x))
0.2b	(* (* x 0.12) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 30

Calls

2 calls:

21.0ms	(+ (* (* x 0.12) x) (* 0.253 x))
25.0ms	(* (* x 0.12) x)

series165.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(+ (* (* x 0.12) x) (* 0.253 x))
48.0ms	(* (* x 0.12) x)

simplify1.1s

Counts

36 → 36

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	370
1	182	322
2	1148	286
done	5000	278

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.4b	(* 0.12 (pow x 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

10.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
13.0ms	(* 0.12 (pow x 2))

series165.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
56.0ms	(* 0.12 (pow x 2))

simplify822.0ms

Counts

44 → 44

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	73	440
1	193	398
2	776	353
done	5001	325

prune187.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))) (* 0.253 x))
0.2b	(* (fabs x) (sqrt 0.12))
0.2b	(* (fabs x) (sqrt 0.12))
0.4b	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

46.0ms	(+ (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))) (* 0.253 x))
21.0ms	(* (fabs x) (sqrt 0.12))
20.0ms	(* (fabs x) (sqrt 0.12))
47.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))) (* 0.253 x))
64.0ms	(* (fabs x) (sqrt 0.12))
35.0ms	(* (fabs x) (sqrt 0.12))
96.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	84	1149
1	229	841
2	1215	742
done	5000	694

prune395.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes38.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

869.0ms

10532×

body

valid