Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	65×	body	640	valid
6.0ms	27×	body	1280	valid
6.0ms	122×	body	80	valid
4.0ms	27×	body	320	valid
1.0ms	15×	body	160	valid

simplify121.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
2.3b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite493.0ms

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))
106.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
11.0ms	(/ 1.0 (+ x 1.0))
342.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (- x 1.0))
45.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
40.0ms	(/ 1.0 (+ x 1.0))
276.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	213	1832
1	498	1716
2	1316	1630
3	3776	1608
done	5000	1608

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
15.5b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
22×	`flip3--` `flip--`
16×	`frac-times` `frac-add`
13×	`add-sqr-sqrt`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-r`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

44.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
14.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
57.0ms	(* (* (+ x 1.0) x) (- x 1.0))
33.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
41.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
124.0ms	(* (* (+ x 1.0) x) (- x 1.0))
5.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify2.4s

Counts

119 → 119

Iterations

Useful iterations: 2 (825.0ms)

Iter	Nodes	Cost
0	228	3403
1	792	3189
2	3870	3047
done	5002	3047

prune474.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

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))
0.4b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite155.0ms

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:

39.0ms	(* (+ x 1.0) x)
69.0ms	(* (* (+ x 1.0) x) (- x 1.0))
41.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (+ x 1.0) x)
119.0ms	(* (* (+ x 1.0) x) (- x 1.0))
131.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

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

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ 2.0 (- x 1.0))
0.1b	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.3b	(/ 1 (* (+ x 1.0) x))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
37×	`times-frac`
34×	`add-cbrt-cube`
29×	`add-cube-cbrt`
24×	`associate-r` `prod-exp`
20×	`div-exp`
13×	`associate-l`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `1-exp` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `unswap-sqr`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `flip--`
1×	`frac-times` `associate-*r/` `distribute-lft-out` `inv-pow`

Counts

4 → 152

Calls

4 calls:

41.0ms	(* (+ x 1.0) x)
21.0ms	(/ 2.0 (- x 1.0))
103.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
47.0ms	(/ 1 (* (+ x 1.0) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ x 1.0) x)
35.0ms	(/ 2.0 (- x 1.0))
131.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
35.0ms	(/ 1 (* (+ x 1.0) x))

simplify2.5s

Counts

164 → 164

Iterations

Useful iterations: 2 (569.0ms)

Iter	Nodes	Cost
0	237	2157
1	602	1914
2	2090	1640
done	5000	1640

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes20.0ms

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	13
1	15	13
done	15	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

583.0ms	1908×	body	640	valid
409.0ms	4187×	body	80	valid
214.0ms	580×	body	1280	valid
195.0ms	873×	body	320	valid
53.0ms	452×	body	160	valid