Details

sample30.0ms

Algorithm

intervals

Results

14.0ms	66×	body	640	valid
4.0ms	134×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	21×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

12.0ms	(/ 1.0 (- x 1.0))
11.0ms	(/ 1.0 (+ x 1.0))
110.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (- x 1.0))
31.0ms	(/ 1.0 (+ x 1.0))
233.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify952.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	175	1402
1	409	1325
2	1586	1259
done	5002	1259

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.4b	(- (- x 1.0) (+ x 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

14.0ms	(- (* x x) (* 1.0 1.0))
15.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
64.0ms	(- (- x 1.0) (+ x 1.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x x) (* 1.0 1.0))
75.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: 2 (431.0ms)

Iter	Nodes	Cost
0	161	1181
1	455	1117
2	2492	1031
done	5000	1031

prune216.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
8×	`difference-of-squares`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`neg-mul-1` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out`

Counts

3 → 91

Calls

3 calls:

11.0ms	(- (* x x) (* 1.0 1.0))
45.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x x) (* 1.0 1.0))
56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
58.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: 2 (437.0ms)

Iter	Nodes	Cost
0	164	1483
1	499	1423
2	2811	1283
done	5002	1283

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt 1.0) (- x 1.0))
0.0b	(/ (sqrt 1.0) (+ x 1.0))
0.2b	(* (/ (sqrt 1.0) (+ x 1.0)) (* (/ (sqrt 1.0) (- x 1.0)) (- 2.0)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
78×	`times-frac`
68×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
45×	`sqrt-prod`
30×	`associate-l`
28×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`associate-/l*`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/r*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
3×	`pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `distribute-rgt-neg-out` `flip-+`
1×	`frac-times` `flip3--` `associate-r/` `associate-r` `-commutative` `flip--`

Counts

3 → 160

Calls

3 calls:

19.0ms	(/ (sqrt 1.0) (- x 1.0))
19.0ms	(/ (sqrt 1.0) (+ x 1.0))
88.0ms	(* (/ (sqrt 1.0) (+ x 1.0)) (* (/ (sqrt 1.0) (- x 1.0)) (- 2.0)))

series379.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (sqrt 1.0) (- x 1.0))
71.0ms	(/ (sqrt 1.0) (+ x 1.0))
237.0ms	(* (/ (sqrt 1.0) (+ x 1.0)) (* (/ (sqrt 1.0) (- x 1.0)) (- 2.0)))

simplify2.0s

Counts

169 → 169

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	235	2692
1	640	2498
2	3094	2137
done	5001	2111

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	19	12
3	22	12
done	22	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

489.0ms	1886×	body	640	valid
230.0ms	4255×	body	80	valid
139.0ms	1190×	body	320	valid
64.0ms	669×	body	160	valid