Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

371×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	34	9
3	71	9
4	94	9
5	99	9
6	116	9
7	171	9
8	333	9
9	1003	9
10	3267	9
done	5000	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

12.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify4.4s

Counts

28 → 28

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	57	367
1	171	352
2	763	294
3	4711	294
done	5000	294

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.1b	(* x (* x (- 3.0 (* x 2.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

7.0ms	(* x (- 3.0 (* x 2.0)))
12.0ms	(* x (* x (- 3.0 (* x 2.0))))

series142.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* x (- 3.0 (* x 2.0)))
74.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify3.7s

Counts

58 → 58

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	79	669
1	200	655
2	848	553
3	4470	553
done	5000	553

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (* x (* 3.0 x)) (- (* 2.0 (pow x 3))))
0.2b	(* x (* 3.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (* x (* 3.0 x)) (- (* 2.0 (pow x 3))))
6.0ms	(* x (* 3.0 x))

series127.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(+ (* x (* 3.0 x)) (- (* 2.0 (pow x 3))))
26.0ms	(* x (* 3.0 x))

simplify17.9s

Counts

39 → 39

Iterations

Useful iterations: 3 (455.0ms)

Iter	Nodes	Cost
0	65	444
1	184	399
2	790	357
3	4781	319
done	5000	319

prune74.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
0.1b	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.2b	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`sub-neg` `flip3--` `associate-/r*` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

3.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
10.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
17.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
9.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
101.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
153.0ms	(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
163.0ms	(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify859.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	140	2256
1	415	2187
2	2126	1755
done	5001	1755

prune187.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample350.0ms

Algorithm

intervals

Results

227.0ms

11863×

body

valid