Details

sample60.0ms

Algorithm

intervals

Results

18.0ms	57×	body	640	valid
12.0ms	46×	body	320	valid
12.0ms	136×	body	80	valid
8.0ms	17×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

13.0ms	(/ 1 (+ x 1))
14.0ms	(/ 1 (- x 1))
66.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (+ x 1))
21.0ms	(/ 1 (- x 1))
89.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	2023
1	426
0	185

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (- (* x x) (* 1 1)))
2.4b	(- x (+ 2 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`add-exp-log`
5×	`difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube`
3×	`pow1` `associate-/l*`
2×	`flip3--` `diff-log` `div-exp` `associate-/r/` `insert-posit16` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `1-exp` `div-inv` `pow-flip` `distribute-lft-out` `associate--r+` `inv-pow`

Counts

2 → 56

Calls

2 calls:

24.0ms	(/ 1 (- (* x x) (* 1 1)))
19.0ms	(- x (+ 2 x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1 (- (* x x) (* 1 1)))
9.0ms	(- x (+ 2 x))

simplify748.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1104
1	259
0	113

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.9b	(/ 1 (- (* x x) (* 1 1)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`difference-of-squares`
5×	`pow1`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 79

Calls

2 calls:

50.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
22.0ms	(/ 1 (- (* x x) (* 1 1)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
34.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify942.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1634
1	370
0	139

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
381×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
132×	`associate-l`
74×	`difference-of-squares`
49×	`distribute-lft-out`
37×	`difference-of-sqr-1` `distribute-lft-out--`
36×	`associate-/r/`
31×	`add-exp-log`
21×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`div-inv`
16×	`flip3-+` `flip-+`
14×	`div-exp`
11×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 367

Calls

3 calls:

12.0ms	(/ 1 (+ x 1))
48.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
18.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series133.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ 1 (+ x 1))
59.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
58.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify860.0ms

Counts

376 → 376

Iterations

Iter	Nodes
done	5000
1	1071
0	373

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	12
1	12
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

569.0ms	1256×	body	320	valid
477.0ms	1985×	body	640	valid
338.0ms	4155×	body	80	valid
91.0ms	604×	body	160	valid