Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	48×	body	640	valid
9.0ms	138×	body	80	valid
6.0ms	32×	body	320	valid
5.0ms	15×	body	1280	valid
3.0ms	23×	body	160	valid

simplify187.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	214
10	214
9	204
8	139
7	97
6	86
5	78
4	65
3	45
2	35
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
3.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
715×	`times-frac`
544×	`add-sqr-sqrt`
494×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
72×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 648

Calls

4 calls:

16.0ms	(/ 1 (+ x 1))
9.0ms	(/ 1 (- x 1))
43.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
231.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (+ x 1))
21.0ms	(/ 1 (- x 1))
37.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
134.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.0s

Counts

660 → 660

Iterations

Iter	Nodes
2	2697
1	1123
0	495

prune6.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
3.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
715×	`times-frac`
544×	`add-sqr-sqrt`
494×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
72×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 648

Calls

4 calls:

8.0ms	(/ 1 (+ x 1))
13.0ms	(/ 1 (- x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
227.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ x 1))
27.0ms	(/ 1 (- x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
120.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.3s

Counts

660 → 660

Iterations

Iter	Nodes
2	2697
1	1123
0	495

prune7.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
16.3b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

90×	`associate-*l/`
55×	`add-sqr-sqrt`
54×	`prod-diff`
51×	`*-un-lft-identity`
45×	`add-cube-cbrt`
36×	`flip3--` `flip--`
33×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-add`
28×	`frac-times`
24×	`flip3-+` `flip-+`
22×	`associate-+l+`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-/l/`
14×	`associate-r` `associate-*r/`
11×	`pow1`
8×	`associate-/r/`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `fma-def` `frac-2neg` `div-inv` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

42.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
81.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
46.0ms	(* (* (+ x 1) x) (- x 1))
55.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series226.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
73.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
127.0ms	(* (* (+ x 1) x) (- x 1))
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify3.5s

Counts

227 → 227

Iterations

Iter	Nodes
2	5873
1	1272
0	380

prune2.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (+ x 1) x) (- x 1))
0.0b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/r/`
7×	`pow1` `associate-r`
6×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
4×	`associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `difference-of-sqr-1` `associate-l` `-commutative` `div-inv` `distribute-lft-out--`

Counts

2 → 89

Calls

2 calls:

37.0ms	(* (* (+ x 1) x) (- x 1))
30.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(* (* (+ x 1) x) (- x 1))
73.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify8.7s

Counts

95 → 95

Iterations

Iter	Nodes
3	6214
2	1748
1	562
0	190

prune820.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

903.0ms	4074×	body	80	valid
896.0ms	1904×	body	640	valid
376.0ms	941×	body	320	valid
291.0ms	586×	body	1280	valid
149.0ms	497×	body	160	valid