Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	56×	body	640	valid
7.0ms	143×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize12.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 25

Calls

1 calls:

117.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.7s

Counts

28 → 28

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	74	436
1	172	425
2	390	397
3	951	395
4	3028	391
done	5000	386

prune83.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-lft-neg-out` `frac-2neg` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

41.0ms	(* (+ x 1.0) x)
41.0ms	(/ (* (- 1.0) 1.0) (* (+ x 1.0) x))

series125.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (+ x 1.0) x)
63.0ms	(/ (* (- 1.0) 1.0) (* (+ x 1.0) x))

simplify1.0s

Counts

51 → 51

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	96	620
1	278	579
2	1379	467
done	5000	467

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`associate-/r/`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3-+` `flip-+` `distribute-lft-out`
3×	`associate-/r*`
2×	`distribute-frac-neg`
1×	`pow1` `distribute-lft-neg-out` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`

Counts

1 → 61

Calls

1 calls:

28.0ms

(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: 2 (329.0ms)

Iter	Nodes	Cost
0	157	1105
1	410	1035
2	1511	959
done	5001	959

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

78.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
8.0ms	(cbrt (+ x 1.0))
8.0ms	(cbrt (+ x 1.0))
8.0ms	(cbrt (+ x 1.0))

series460.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
101.0ms	(cbrt (+ x 1.0))
114.0ms	(cbrt (+ x 1.0))
108.0ms	(cbrt (+ x 1.0))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	139	1485
1	308	1358
2	772	1288
3	1892	1148
done	5000	1116

prune472.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	13	10
3	15	10
done	15	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

373.0ms	1919×	body	640	valid
211.0ms	4263×	body	80	valid
177.0ms	1208×	body	320	valid
42.0ms	611×	body	160	valid