Details

sample80.0ms

Algorithm

intervals

Results

29.0ms	61×	body	640	valid
16.0ms	132×	body	80	valid
10.0ms	29×	body	320	valid
8.0ms	13×	body	1280	valid
5.0ms	21×	body	160	valid

simplify147.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	195
10	195
9	187
8	132
7	94
6	83
5	75
4	63
3	43
2	33
1	19
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.8b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

718×	`*-un-lft-identity`
694×	`times-frac`
515×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg` `distribute-lft-out--`
13×	`fma-def`
12×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 596

Calls

3 calls:

8.0ms	(/ 1 (+ x 1))
38.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
206.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (+ x 1))
39.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
107.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.7s

Counts

605 → 605

Iterations

Iter	Nodes
2	2483
1	1022
0	440

prune5.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.8b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

718×	`*-un-lft-identity`
694×	`times-frac`
515×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg` `distribute-lft-out--`
13×	`fma-def`
12×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 596

Calls

3 calls:

8.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
218.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
142.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.7s

Counts

605 → 605

Iterations

Iter	Nodes
2	2483
1	1022
0	440

prune6.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1 x) (* (+ x 1) 2))
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.1b	(* (* (+ x 1) x) (- x 1))
16.8b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*l/`
37×	`prod-diff`
35×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`frac-add`
31×	`flip3--` `add-cube-cbrt` `flip--`
24×	`frac-times` `flip3-+` `flip-+`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
18×	`add-cbrt-cube` `add-exp-log` `associate-/l/`
12×	`associate-*r/`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`sub-neg`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`difference-of-squares`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `fma-def` `frac-2neg` `fma-neg` `diff-log` `difference-of-sqr-1` `associate-l` `-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 177

Calls

4 calls:

7.0ms	(- (* 1 x) (* (+ x 1) 2))
79.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
32.0ms	(* (* (+ x 1) x) (- x 1))
30.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series228.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* 1 x) (* (+ x 1) 2))
80.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
124.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify5.5s

Counts

189 → 189

Iterations

Iter	Nodes
2	5940
1	1225
0	355

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(* (* (+ x 1) x) (- x 1))
0.1b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

22.0ms	(* (+ x 1) x)
44.0ms	(* (* (+ x 1) x) (- x 1))
36.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ x 1) x)
152.0ms	(* (* (+ x 1) x) (- x 1))
65.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify8.4s

Counts

122 → 122

Iterations

Iter	Nodes
3	6765
2	1644
1	603
0	207

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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
1	7
0	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	1890×	body	640	valid
547.0ms	4144×	body	80	valid
348.0ms	572×	body	1280	valid
277.0ms	906×	body	320	valid
124.0ms	490×	body	160	valid