Details

sample109.0ms

Algorithm

intervals

Results

80.0ms

329×

body

valid

simplify28.5s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

12.0ms	(+ 0.253 (* x 0.12))
39.0ms	(* x (+ 0.253 (* x 0.12)))

series310.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ 0.253 (* x 0.12))
229.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.3s

Counts

39 → 39

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	60	377
1	187	369
2	836	333
done	5000	327

prune311.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

331.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
4.0ms	(cbrt (+ 0.253 (* x 0.12)))
9.0ms	(cbrt (+ 0.253 (* x 0.12)))

series1.3s

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
445.0ms	(cbrt (+ 0.253 (* x 0.12)))
328.0ms	(cbrt (+ 0.253 (* x 0.12)))
331.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify6.4s

Counts

101 → 101

Iterations

Useful iterations: done (6.3s)

Iter	Nodes	Cost
0	186	3007
1	526	2865
2	2442	2505
done	5000	2339

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.2b	(* 0.12 (pow x 2))

rewrite66.0ms

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:

21.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
42.0ms	(* 0.12 (pow x 2))

series399.0ms

Counts

2 → 6

Calls

2 calls:

329.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
70.0ms	(* 0.12 (pow x 2))

simplify2.7s

Counts

44 → 44

Iterations

Useful iterations: done (2.7s)

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

prune551.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize110.0ms

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))
0.3b	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

rewrite214.0ms

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:

79.0ms	(+ (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))) (* 0.253 x))
34.0ms	(* (fabs x) (sqrt 0.12))
21.0ms	(* (fabs x) (sqrt 0.12))
67.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

series988.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12))) (* 0.253 x))
213.0ms	(* (fabs x) (sqrt 0.12))
68.0ms	(* (fabs x) (sqrt 0.12))
363.0ms	(* (* (fabs x) (sqrt 0.12)) (* (fabs x) (sqrt 0.12)))

simplify3.4s

Counts

101 → 101

Iterations

Useful iterations: done (3.3s)

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

prune741.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes290.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.5s

10713×

body

valid