Details

sample93.0ms

Algorithm

intervals

Results

10.0ms	78×	body	1280	valid
6.0ms	56×	body	640	valid
5.0ms	186×	body	80	valid
5.0ms	28×	body	320	valid
1.0ms	12×	body	160	valid

simplify11.1s

Counts

1 → 1

Iterations

Iter	Nodes
8	6669
7	1692
6	687
5	374
4	204
3	62
2	42
1	18
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 2) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

18.0ms

(* (+ x 2) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (+ x 2) x)

simplify1.8s

Counts

25 → 25

Iterations

Iter	Nodes
4	5122
3	1089
2	336
1	109
0	43

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (- (* 2 2) (* x 2)))
0.0b	(+ (* x 8) (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
9.8b	(/ (+ (* x 8) (* (* x x) (* x x))) (+ (* x x) (- (* 2 2) (* x 2))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus` `add-cbrt-cube` `add-exp-log`
13×	`pow2`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-log-exp`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `sum-log` `associate-/l`
2×	`+-commutative` `associate-+r+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

13.0ms	(+ (* x x) (- (* 2 2) (* x 2)))
8.0ms	(+ (* x 8) (* (* x x) (* x x)))
21.0ms	(* (* x x) (* x x))
46.0ms	(/ (+ (* x 8) (* (* x x) (* x x))) (+ (* x x) (- (* 2 2) (* x 2))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x x) (- (* 2 2) (* x 2)))
109.0ms	(+ (* x 8) (* (* x x) (* x x)))
33.0ms	(* (* x x) (* x x))
146.0ms	(/ (+ (* x 8) (* (* x x) (* x x))) (+ (* x x) (- (* 2 2) (* x 2))))

simplify9.5s

Counts

136 → 136

Iterations

Iter	Nodes
3	14164
2	1984
1	395
0	141

prune655.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.2b	(- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))
10.2b	(/ (+ (* x 8) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

226×	`pow1`
72×	`pow-prod-up`
46×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
30×	`add-cbrt-cube` `add-exp-log`
26×	`pow2`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-/r*` `insert-posit16` `associate--r+`
3×	`sub-neg` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 182

Calls

4 calls:

21.0ms	(* (* x x) (* x x))
20.0ms	(* (* x x) (* x x))
25.0ms	(- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))
59.0ms	(/ (+ (* x 8) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x x) (* x x))
33.0ms	(* (* x x) (* x x))
33.0ms	(- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))
67.0ms	(/ (+ (* x 8) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

simplify7.4s

Counts

194 → 194

Iterations

Iter	Nodes
3	12534
2	1779
1	429
0	158

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

324.0ms	2234×	body	1280	valid
263.0ms	418×	body	160	valid
222.0ms	5504×	body	80	valid
183.0ms	1710×	body	640	valid
61.0ms	852×	body	320	valid