Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	56×	body	640	valid
8.0ms	134×	body	80	valid
6.0ms	36×	body	320	valid
4.0ms	14×	body	1280	valid
2.0ms	16×	body	160	valid

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	198
9	198
8	170
7	103
6	83
5	72
4	60
3	41
2	31
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize35.0ms

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))
3.2b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite438.0ms

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-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

16.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
66.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
332.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1.0 (+ x 1.0))
36.0ms	(/ 1.0 (- x 1.0))
53.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
303.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.4s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1571
1	514
0	212

prune549.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

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))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
16.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite146.0ms

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` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`associate-*r/` `add-log-exp`
7×	`sub-neg` `add-cube-cbrt`
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` `sum-log` `diff-log` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

12.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
38.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
50.0ms	(* (* (+ x 1.0) x) (- x 1.0))
39.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
49.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
150.0ms	(* (* (+ 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))

simplify3.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	4027
1	821
0	228

prune619.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

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)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

16.0ms	(* (+ x 1.0) x)
35.0ms	(* (* (+ x 1.0) x) (- x 1.0))
28.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (+ x 1.0) x)
126.0ms	(* (* (+ x 1.0) x) (- x 1.0))
135.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1657
1	444
0	154

prune382.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))
0.2b	(/ 1 (* (+ x 1.0) x))

rewrite226.0ms

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` `associate-/r` `1-exp` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `pow-flip` `flip--`
1×	`frac-times` `associate-*r/` `distribute-lft-out` `inv-pow`

Counts

4 → 152

Calls

4 calls:

31.0ms	(* (+ x 1.0) x)
18.0ms	(/ 2.0 (- x 1.0))
137.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
29.0ms	(/ 1 (* (+ x 1.0) x))

series350.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (+ x 1.0) x)
62.0ms	(/ 2.0 (- x 1.0))
146.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
58.0ms	(/ 1 (* (+ x 1.0) x))

simplify1.7s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	2409
1	665
0	237

prune610.0ms

Pruning

4 alts after pruning (4 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

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

623.0ms	1832×	body	640	valid
268.0ms	4129×	body	80	valid
249.0ms	577×	body	1280	valid
155.0ms	976×	body	320	valid
55.0ms	486×	body	160	valid