Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

298×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

9.0ms	(+ (/ x y) 1.0)
8.0ms	(* x (+ (/ x y) 1.0))
11.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (/ x y) 1.0)
24.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	301	391
1	1508	339
2	5001	337

prune118.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
12.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	499	1501
1	2349	1440
2	5001	1438

prune227.0ms

Filtered

167 candidates to 105 candidates (62.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	167	6	173

Merged error: 0b

Counts

173 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ x y)) (* x 1.0))
0.1b	(* x (/ x y))
9.7b	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

5.0ms	(+ (* x (/ x y)) (* x 1.0))
6.0ms	(* x (/ x y))
10.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x (/ x y)) (* x 1.0))
18.0ms	(* x (/ x y))
39.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	390	634
1	1859	571
2	5001	566

prune140.0ms

Filtered

93 candidates to 65 candidates (69.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ (+ x 1.0) x)
0.2b	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

794×	`times-frac`
635×	`*-un-lft-identity`
337×	`add-sqr-sqrt` `add-cube-cbrt`
149×	`distribute-lft-out`
77×	`associate-/r*`
32×	`add-exp-log`
28×	`div-inv`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
7×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 454

Calls

4 calls:

6.0ms	(+ (/ x y) 1.0)
5.0ms	(/ (+ x 1.0) x)
14.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
26.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
50.0ms	(/ (+ x 1.0) x)
257.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
49.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

466 → 466

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1180	5528
1	5001	4996

prune557.0ms

Filtered

466 candidates to 233 candidates (50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	466	0	466
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	466	6	472

Merged error: 0b

Counts

472 → 6

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample416.0ms

Algorithm

intervals

Results

277.0ms

9045×

body

valid