Details

sample63.0ms

Algorithm

intervals

Results

26.0ms	61×	body	640	valid
10.0ms	138×	body	80	valid
7.0ms	33×	body	320	valid
4.0ms	13×	body	1280	valid
1.0ms	11×	body	160	valid

simplify185.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	23	15
2	41	15
3	70	15
4	87	15
5	112	15
6	137	15
7	138	15
done	138	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize11.0ms

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

rewrite579.0ms

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:

25.0ms	(/ 1.0 (+ x 1.0))
23.0ms	(/ 1.0 (- x 1.0))
90.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
432.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1.0 (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
309.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.0s

Counts

126 → 126

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	213	1832
1	1339	1692
done	5000	1622

prune412.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))
14.6b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite276.0ms

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:

10.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
139.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
63.0ms	(* (* (+ x 1.0) x) (- x 1.0))
50.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series363.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
139.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
162.0ms	(* (* (+ x 1.0) x) (- x 1.0))
4.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify5.5s

Counts

136 → 136

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	279	4788
1	2363	4541
done	5002	4175

prune751.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite163.0ms

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:

40.0ms	(* (+ x 1.0) x)
61.0ms	(* (* (+ x 1.0) x) (- x 1.0))
55.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series351.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (+ x 1.0) x)
157.0ms	(* (* (+ x 1.0) x) (- x 1.0))
142.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	154	1283
1	1476	1241
done	5000	1077

prune285.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

33.0ms	(* (+ x 1.0) x)
40.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
11.0ms	(/ 2.0 (* (+ x 1.0) x))

series260.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (+ x 1.0) x)
138.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
38.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify3.8s

Counts

131 → 131

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	221	2097
1	3468	1975
done	5000	1831

prune422.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b 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	8	11
1	9	11
done	9	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

596.0ms	1870×	body	640	valid
558.0ms	468×	body	160	valid
326.0ms	4113×	body	80	valid
158.0ms	989×	body	320	valid
143.0ms	566×	body	1280	valid