Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	60×	body	640	valid
4.0ms	133×	body	80	valid
3.0ms	21×	body	1280	valid
3.0ms	32×	body	320	valid
1.0ms	10×	body	160	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	50	15
5	55	15
6	64	15
7	82	15
8	99	15
9	109	15
done	109	15

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

10.0ms	(/ 1.0 (- x 1.0))
11.0ms	(/ 1.0 (+ x 1.0))
57.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
264.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
29.0ms	(/ 1.0 (+ x 1.0))
43.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
223.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts

126 → 126

Iterations

Useful iterations: 3 (840.0ms)

Iter	Nodes	Cost
0	213	1832
1	498	1716
2	1314	1630
3	3767	1608
done	5000	1608

prune257.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
16.8b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*l/`
32×	`frac-add`
31×	`flip3--` `flip--`
24×	`frac-times` `flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube` `associate-/l/`
12×	`associate-*r/`
9×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`sub-neg` `associate-r`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
1×	`+-commutative` `frac-2neg` `diff-log` `associate-l` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

8.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
92.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
44.0ms	(* (* (+ x 1.0) x) (- x 1.0))
28.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
94.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
104.0ms	(* (* (+ x 1.0) x) (- x 1.0))
2.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify482.0ms

Counts

136 → 136

Iterations

Useful iterations: done (476.0ms)

Iter	Nodes	Cost
0	279	4788
1	993	4541
done	5000	4173

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.3b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

19.0ms	(* (+ x 1.0) x)
42.0ms	(* (* (+ x 1.0) x) (- x 1.0))
36.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (+ x 1.0) x)
100.0ms	(* (* (+ x 1.0) x) (- x 1.0))
92.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	154	1283
1	422	1247
2	1748	1075
done	5002	1074

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-rgt-out--` `unpow3` `associate-/r*`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

22.0ms

(/ 2.0 (- (pow x 3) (* 1.0 x)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (331.0ms)

Iter	Nodes	Cost
0	89	565
1	203	546
2	566	502
3	1627	500
done	5000	500

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample604.0ms

Algorithm

intervals

Results

189.0ms	1803×	body	640	valid
120.0ms	4221×	body	80	valid
76.0ms	566×	body	1280	valid
73.0ms	956×	body	320	valid
23.0ms	456×	body	160	valid