Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	54×	body	640	valid
7.0ms	141×	body	80	valid
7.0ms	48×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.0b	(- (/ 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))
48.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
168.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.2b	(- (- x 1.0) (+ x 1.0))

rewrite33.0ms

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:

3.0ms	(- (* x x) (* 1.0 1.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
23.0ms	(- (- x 1.0) (+ x 1.0))

series98.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
51.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	413	559
1	2021	517
2	5002	515

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))
1.2b	(- (- x 1.0) (+ x 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
173×	`*-un-lft-identity`
119×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`distribute-lft-out`
21×	`associate-/l*`
20×	`difference-of-squares`
16×	`associate-/r/`
15×	`add-log-exp`
10×	`add-exp-log` `add-cbrt-cube`
9×	`flip3-+` `associate-/r*` `flip-+`
8×	`div-inv`
6×	`diff-log`
4×	`cbrt-undiv` `flip3--` `div-exp` `frac-sub` `flip--`
3×	`pow1`
2×	`sub-neg` `frac-2neg` `associate--l+` `clear-num` `sum-log`
1×	`associate--l-` `associate-/l/` `associate--r+`

Counts

3 → 191

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
16.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))
23.0ms	(- (- x 1.0) (+ x 1.0))

series98.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (+ x 1.0))
62.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	766	1683
1	3727	1634
2	5001	1634

prune353.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite100.0ms

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))
15.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
29.0ms	(/ 1.0 (+ x 1.0))
62.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify124.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1099	2526
1	4951	2417
2	5002	2417

prune538.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	17	6
2	20	6
3	22	6
4	22	6

end0.0ms

sample911.0ms

Algorithm

intervals

Results

359.0ms	1871×	body	640	valid
214.0ms	4247×	body	80	valid
179.0ms	1272×	body	320	valid
59.0ms	610×	body	160	valid