Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify16.3s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

15.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
11.0ms	(+ 0.253 (* x 0.12))
30.0ms	(* x (+ 0.253 (* x 0.12)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
78.0ms	(+ 0.253 (* x 0.12))
121.0ms	(* x (+ 0.253 (* x 0.12)))

simplify984.0ms

Counts

56 → 56

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	84	617
1	247	586
2	1082	544
done	5000	532

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.253 x) (* (* x 0.12) x)))
0.0b	(+ (* 0.253 x) (* (* x 0.12) x))
0.2b	(* (* x 0.12) x)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 46

Calls

3 calls:

34.0ms	(- 1.0 (+ (* 0.253 x) (* (* x 0.12) x)))
17.0ms	(+ (* 0.253 x) (* (* x 0.12) x))
28.0ms	(* (* x 0.12) x)

series225.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1.0 (+ (* 0.253 x) (* (* x 0.12) x)))
136.0ms	(+ (* 0.253 x) (* (* x 0.12) x))
43.0ms	(* (* x 0.12) x)

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	88	696
1	250	573
2	1405	537
done	5001	521

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (+ (* 0.253 x) (* 0.12 (pow x 2))))
0.0b	(+ (* 0.253 x) (* 0.12 (pow x 2)))
0.4b	(* 0.12 (pow x 2))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 54

Calls

3 calls:

28.0ms	(- 1.0 (+ (* 0.253 x) (* 0.12 (pow x 2))))
15.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
21.0ms	(* 0.12 (pow x 2))

series223.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- 1.0 (+ (* 0.253 x) (* 0.12 (pow x 2))))
113.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
48.0ms	(* 0.12 (pow x 2))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	101	766
1	261	695
2	996	646
done	5001	566

prune255.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

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:

15.0ms	(+ (* 0.253 x) (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))))
15.0ms	(* (fabs x) (sqrt 0.12))
15.0ms	(* (fabs x) (sqrt 0.12))
64.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* 0.253 x) (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))))
48.0ms	(* (fabs x) (sqrt 0.12))
46.0ms	(* (fabs x) (sqrt 0.12))
102.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	84	1149
1	229	837
2	1224	739
done	5000	694

prune410.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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

sample928.0ms

Algorithm

intervals

Results

611.0ms

10763×

body

valid