Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	339×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4
done	170	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

5.0ms	(- 2.0 (* x 3.0))
18.0ms	(* 3.0 (- 2.0 (* x 3.0)))
27.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series174.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
53.0ms	(* 3.0 (- 2.0 (* x 3.0)))
84.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify39.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	219	323
1	1062	277
2	5002	274
done	5002	274

prune99.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite22.0ms

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:

5.0ms	(- 6.0 (* 9.0 x))
16.0ms	(* x (- 6.0 (* 9.0 x)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 6.0 (* 9.0 x))
82.0ms	(* x (- 6.0 (* 9.0 x)))

simplify89.0ms

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	140	190
1	583	168
2	3082	168
3	5002	168
done	5002	168

prune61.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 6.0) (* x (- (* 9.0 x))))
0.2b	(* x (- (* 9.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
11.0ms	(* x (- (* 9.0 x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
27.0ms	(* x (- (* 9.0 x)))

simplify38.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	180	207
1	897	179
2	5001	176
done	5001	176

prune70.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
26.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- 2.0 (* x 3.0))
67.0ms	(* (- 2.0 (* x 3.0)) x)
83.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify32.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	207	312
1	816	266
2	5001	260
done	5001	260

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes18.0ms

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	8	3
1	8	3
done	8	3

end0.0ms

sample409.0ms

Algorithm

intervals

Results

192.0ms	9910×	body	80	valid
27.0ms	326×	body	1280	valid
21.0ms	282×	body	640	valid
7.0ms	147×	body	320	valid
2.0ms	68×	body	160	valid