Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	56×	body	640	valid
8.0ms	29×	body	1280	valid
8.0ms	141×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	14×	body	160	valid

simplify1.0s

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	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize21.0ms

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

rewrite559.0ms

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:

15.0ms	(/ 1.0 (+ x 1.0))
13.0ms	(/ 1.0 (- x 1.0))
112.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
408.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1.0 (+ x 1.0))
37.0ms	(/ 1.0 (- x 1.0))
59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
283.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts

126 → 126

Iterations

Useful iterations: 2 (851.0ms)

Iter	Nodes	Cost
0	213	1832
1	516	1716
2	1955	1630
done	5002	1630

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
15.3b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

44.0ms	(* (+ x 1.0) x)
9.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
69.0ms	(* (* (+ x 1.0) x) (- x 1.0))
45.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series276.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ x 1.0) x)
65.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
145.0ms	(* (* (+ 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))

simplify532.0ms

Counts

108 → 108

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	224	2834
1	808	2668
done	5000	2540

prune461.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

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:

37.0ms	(* (+ x 1.0) x)
54.0ms	(* (* (+ x 1.0) x) (- x 1.0))
66.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series357.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (+ x 1.0) x)
147.0ms	(* (* (+ x 1.0) x) (- x 1.0))
140.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	154	1283
1	447	1247
2	3033	1093
done	5001	1087

prune264.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.5b	(/ 2.0 (* (+ x 1.0) x))

rewrite101.0ms

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:

50.0ms	(* (+ x 1.0) x)
29.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
13.0ms	(/ 2.0 (* (+ x 1.0) x))

series306.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (+ x 1.0) x)
162.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
59.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify2.1s

Counts

131 → 131

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	221	2097
1	593	1997
2	3252	1843
done	5001	1835

prune434.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	1868×	body	640	valid
376.0ms	4088×	body	80	valid
196.0ms	588×	body	1280	valid
179.0ms	987×	body	320	valid
111.0ms	471×	body	160	valid