Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify234.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	35	9
3	65	9
4	89	9
5	103	9
6	145	9
7	235	9
8	265	9
done	265	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

2.0ms	(+ 0.253 (* x 0.12))
9.0ms	(* x (+ 0.253 (* x 0.12)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 0.253 (* x 0.12))
63.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.3s

Counts

39 → 39

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	60	377
1	163	363
2	490	325
3	1566	325
done	5000	325

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* 0.253 x) (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series92.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* 0.253 x) (* x (* x 0.12)))
24.0ms	(* x (* x 0.12))

simplify3.6s

Counts

35 → 35

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	56	362
1	165	342
2	567	272
3	1616	268
4	4341	267
done	5000	267

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

2.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
7.0ms	(* (* x x) 0.12)

series94.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* 0.253 x) (* (* x x) 0.12))
25.0ms	(* (* x x) 0.12)

simplify2.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (678.0ms)

Iter	Nodes	Cost
0	60	373
1	171	351
2	649	281
3	2990	277
done	5000	277

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

3.0ms	(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
4.0ms	(* x (sqrt 0.12))
4.0ms	(* x (sqrt 0.12))
17.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
43.0ms	(* x (sqrt 0.12))
40.0ms	(* x (sqrt 0.12))
73.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 3 (499.0ms)

Iter	Nodes	Cost
0	83	980
1	212	687
2	731	569
3	3229	564
done	5000	564

prune139.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample329.0ms

Algorithm

intervals

Results

205.0ms

10564×

body

valid