Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	66×	body	640	valid
9.0ms	126×	body	80	valid
8.0ms	22×	body	1280	valid
6.0ms	28×	body	320	valid
2.0ms	14×	body	160	valid

simplify224.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

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

rewrite290.0ms

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))
10.0ms	(/ 1 (- x 1))
42.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
217.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ x 1))
21.0ms	(/ 1 (- x 1))
36.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
118.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.4s

Counts

153 → 153

Iterations

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

prune460.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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))

rewrite109.0ms

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)
9.0ms	(- x (* (+ x 1) 2))
41.0ms	(* (* (+ x 1) x) (+ x -1))
28.0ms	(+ (* (+ x -1) (- x (* (+ x 1) 2))) (* (+ x 1) x))

series244.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ x 1) x)
39.0ms	(- x (* (+ x 1) 2))
126.0ms	(* (* (+ x 1) x) (+ x -1))
2.0ms	(+ (* (+ 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

prune571.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite115.0ms

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:

28.0ms	(* (+ x 1) x)
42.0ms	(* (* (+ x 1) x) (+ x -1))
40.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (+ x 1) x)
103.0ms	(* (* (+ x 1) x) (+ x -1))
104.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))

simplify1.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	2001
2	2001
1	521
0	159

prune350.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite178.0ms

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:

25.0ms	(* (+ x 1) x)
16.0ms	(/ 2 (+ x -1))
107.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (+ x -1)))
28.0ms	(/ 1 (* (+ x 1) x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ x 1) x)
27.0ms	(/ 2 (+ x -1))
83.0ms	(* (/ 1 (* (+ x 1) x)) (/ 2 (+ x -1)))
20.0ms	(/ 1 (* (+ x 1) x))

simplify945.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	2001
2	2001
1	678
0	238

prune521.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	1849×	body	640	valid
465.0ms	4122×	body	80	valid
406.0ms	561×	body	1280	valid
342.0ms	988×	body	320	valid
94.0ms	481×	body	160	valid