Details

sample87.0ms

Algorithm

intervals

Results

26.0ms	126×	body	80	valid
25.0ms	66×	body	640	valid
13.0ms	22×	body	1280	valid
9.0ms	28×	body	320	valid
3.0ms	14×	body	160	valid

simplify218.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	475
9	475
8	357
7	164
6	102
5	81
4	65
3	45
2	35
1	21
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize28.0ms

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))
2.0b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

17.0ms	(/ 1 (+ x 1))
17.0ms	(/ 1 (- x 1))
61.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
216.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))
29.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
115.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	2018
3	2018
2	1628
1	510
0	219

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(- x (* (+ x 1) 2))
0.0b	(* (* (+ x 1) x) (+ x -1))
16.1b	(+ (* (+ x -1) (- x (* (+ x 1) 2))) (* (+ x 1) x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*l/`
22×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`associate-r` `add-log-exp`
7×	`flip3--` `add-cube-cbrt` `flip--`
6×	`associate-*r/`
5×	`associate-l`
4×	`associate-+l+` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`*-commutative` `distribute-lft-out`
1×	`+-commutative` `difference-of-sqr--1` `sum-log` `diff-log` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

29.0ms	(* (+ x 1) x)
7.0ms	(- x (* (+ x 1) 2))
34.0ms	(* (* (+ x 1) x) (+ x -1))
24.0ms	(+ (* (+ x -1) (- x (* (+ x 1) 2))) (* (+ x 1) x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ x 1) x)
32.0ms	(- x (* (+ x 1) 2))
163.0ms	(* (* (+ x 1) x) (+ x -1))
3.0ms	(+ (* (+ x -1) (- x (* (+ x 1) 2))) (* (+ x 1) x))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	2006
2	2006
1	848
0	223

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (* (+ x 1) x) (+ x -1))
0.6b	(/ 2 (* (* (+ x 1) x) (+ x -1)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

30.0ms	(* (+ x 1) x)
61.0ms	(* (* (+ x 1) x) (+ x -1))
54.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))

series357.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (+ x 1) x)
170.0ms	(* (* (+ x 1) x) (+ x -1))
102.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))

simplify1.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	2001
2	2001
1	521
0	159

prune838.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ 2 (+ x -1))
0.0b	(* (/ 1 (* (+ x 1) x)) (/ 2 (+ x -1)))
0.7b	(/ 1 (* (+ x 1) x))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
45×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
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/` `distribute-lft-out`
7×	`difference-of-sqr--1` `associate-*l/`
6×	`rec-exp` `associate-/r` `1-exp` `associate-/l`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `pow-flip`
1×	`frac-times` `associate-*r/` `inv-pow`

Counts

4 → 156

Calls

4 calls:

14.0ms	(* (+ x 1) x)
14.0ms	(/ 2 (+ x -1))
75.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (+ x -1)))
15.0ms	(/ 1 (* (+ x 1) x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (+ x 1) x)
24.0ms	(/ 2 (+ x -1))
95.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (+ x -1)))
23.0ms	(/ 1 (* (+ x 1) x))

simplify1.2s

Counts

168 → 168

Iterations

Iter	Nodes
done	2001
2	2001
1	678
0	238

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

929.0ms	1849×	body	640	valid
801.0ms	4122×	body	80	valid
370.0ms	988×	body	320	valid
341.0ms	561×	body	1280	valid
122.0ms	481×	body	160	valid