Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify226.0ms

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	268	9
done	268	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	60	377
1	163	363
2	585	325
3	2648	325
done	5000	325

prune76.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (* 1 (+ 0.253 (* x 0.12))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
10.0ms	(* x (* 1 (+ 0.253 (* x 0.12))))

series97.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (* 1 (+ 0.253 (* x 0.12))))

simplify1.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	82	469
1	217	390
2	726	332
3	3141	332
done	5000	332

prune74.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite83.0ms

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:

74.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
118.0ms	(cbrt (+ 0.253 (* x 0.12)))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify571.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	186	3007
1	504	2865
2	1612	2503
done	5000	2503

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite10.0ms

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:

3.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
6.0ms	(* 0.12 (pow x 2))

series91.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
24.0ms	(* 0.12 (pow x 2))

simplify1.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (438.0ms)

Iter	Nodes	Cost
0	73	440
1	186	398
2	625	353
3	2588	325
done	5001	325

prune75.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample301.0ms

Algorithm

intervals

Results

192.0ms

10709×

body

valid