Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	25	13
2	53	11
3	112	11
4	163	11
5	191	11
6	220	11
7	285	11
8	413	11
9	679	11
10	757	11
11	799	11
12	801	11
done	801	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

33.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
6.0ms	(- (* (* x 3.0) x) (* x 4.0))
92.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
6.0ms	(* (* x 3.0) x)

series161.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
76.0ms	(- (* (* x 3.0) x) (* x 4.0))
32.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms	(* (* x 3.0) x)

simplify2.4s

Counts

81 → 81

Iterations

Useful iterations: 3 (748.0ms)

Iter	Nodes	Cost
0	117	1095
1	313	1047
2	963	827
3	4083	813
done	5000	813

prune160.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite14.0ms

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×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- (* 9.0 x) 12.0)
10.0ms	(* x (- (* 9.0 x) 12.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* 9.0 x) 12.0)
62.0ms	(* x (- (* 9.0 x) 12.0))

simplify2.6s

Counts

42 → 42

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	60	401
1	134	395
2	346	351
3	1036	349
4	3806	349
done	5000	349

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (pow x 2) 9.0) (- (* 12.0 x)))
0.2b	(* (pow x 2) 9.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

4.0ms	(+ (* (pow x 2) 9.0) (- (* 12.0 x)))
8.0ms	(* (pow x 2) 9.0)

series96.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* (pow x 2) 9.0) (- (* 12.0 x)))
25.0ms	(* (pow x 2) 9.0)

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: 3 (889.0ms)

Iter	Nodes	Cost
0	78	475
1	191	418
2	720	371
3	3228	339
done	5001	339

prune91.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.1b	(* x (- (* 3.0 x) 4.0))
0.1b	(* (* x (- (* 3.0 x) 4.0)) 3.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

3.0ms	(- (* 3.0 x) 4.0)
10.0ms	(* x (- (* 3.0 x) 4.0))
15.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

series186.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* 3.0 x) 4.0)
62.0ms	(* x (- (* 3.0 x) 4.0))
83.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (427.0ms)

Iter	Nodes	Cost
0	89	694
1	210	683
2	675	585
3	2757	576
done	5001	576

prune105.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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	11	12
1	19	12
2	21	12
done	21	12

end0.0ms

sample397.0ms

Algorithm

intervals

Results

274.0ms

10578×

body

valid