Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify266.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	41	9
3	67	9
4	87	9
5	101	9
6	138	9
7	168	9
8	185	9
done	185	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

6.0ms	(+ 0.253 (* x 0.12))
17.0ms	(* x (+ 0.253 (* x 0.12)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ 0.253 (* x 0.12))
111.0ms	(* x (+ 0.253 (* x 0.12)))

simplify2.1s

Counts

39 → 39

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	60	377
1	166	363
2	535	325
3	1727	325
done	5000	325

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ (* x 0.253) (* x (* x 0.12)))
22.0ms	(* x (* x 0.12))

series129.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ (* x 0.253) (* x (* x 0.12)))
28.0ms	(* x (* x 0.12))

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (869.0ms)

Iter	Nodes	Cost
0	58	367
1	166	313
2	617	277
3	2010	273
done	5001	273

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (pow (* 0.12 (pow x 2)) 1))
0.2b	(* 0.12 (pow x 2))

rewrite24.0ms

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	(+ (* x 0.253) (pow (* 0.12 (pow x 2)) 1))
13.0ms	(* 0.12 (pow x 2))

series163.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(+ (* x 0.253) (pow (* 0.12 (pow x 2)) 1))
53.0ms	(* 0.12 (pow x 2))

simplify2.6s

Counts

44 → 44

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	78	476
1	190	400
2	548	355
3	2082	323
done	5000	320

prune130.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12 (pow x 2))
0.3b	(* (sqrt (* 0.12 (pow x 2))) (sqrt (* 0.12 (pow x 2))))
20.2b	(sqrt (* 0.12 (pow x 2)))
20.2b	(sqrt (* 0.12 (pow x 2)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
19×	`add-sqr-sqrt`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod`
5×	`pow-prod-up` `unswap-sqr`
4×	`unpow-prod-down` `swap-sqr` `prod-exp` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `sqrt-unprod` `pow-exp` `rem-square-sqrt`

Counts

4 → 85

Calls

4 calls:

24.0ms	(* 0.12 (pow x 2))
71.0ms	(* (sqrt (* 0.12 (pow x 2))) (sqrt (* 0.12 (pow x 2))))
5.0ms	(sqrt (* 0.12 (pow x 2)))
5.0ms	(sqrt (* 0.12 (pow x 2)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 0.12 (pow x 2))
93.0ms	(* (sqrt (* 0.12 (pow x 2))) (sqrt (* 0.12 (pow x 2))))
44.0ms	(sqrt (* 0.12 (pow x 2)))
64.0ms	(sqrt (* 0.12 (pow x 2)))

simplify3.1s

Counts

97 → 97

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	94	962
1	175	673
2	468	590
3	1925	572
done	5001	561

prune327.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample824.0ms

Algorithm

intervals

Results

574.0ms

10735×

body

valid