Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	64×	body	640	valid
3.0ms	137×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite65.0ms

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:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (- x 1.0))
29.0ms	(/ 1.0 (+ x 1.0))
171.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify473.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	175	1402
1	397	1325
2	1273	1257
done	5001	1257

prune190.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.7b	(- (- x 1.0) (+ x 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `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

2 → 61

Calls

2 calls:

5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms	(- (- x 1.0) (+ x 1.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify798.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	151	1007
1	398	960
2	1805	886
done	5000	886

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

22.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
47.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify650.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	158	1309
1	444	1273
2	1794	1134
done	5000	1134

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

327×	`times-frac`
289×	`*-un-lft-identity`
224×	`add-sqr-sqrt`
141×	`add-cube-cbrt`
96×	`associate-l`
37×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
21×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
14×	`div-inv`
12×	`flip3-+` `flip-+`
10×	`associate-r`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`neg-mul-1` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

3 → 289

Calls

3 calls:

59.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
5.0ms	(/ 1.0 (+ x 1.0))
16.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series158.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
25.0ms	(/ 1.0 (+ x 1.0))
66.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.7s

Counts

298 → 298

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	360	4896
1	1112	4648
2	4763	4445
done	5000	4445

prune530.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	18	12
3	21	12
done	21	12

end0.0ms

sample448.0ms

Algorithm

intervals

Results

151.0ms	1834×	body	640	valid
96.0ms	4210×	body	80	valid
81.0ms	1291×	body	320	valid
28.0ms	665×	body	160	valid