Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 8.9b

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))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite29.0ms

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:

6.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series102.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
38.0ms	(* x (+ (/ x y) 1.0))
53.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune121.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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)
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
17.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	499	1501
1	2349	1440
2	5002	1438

prune247.0ms

Filtered

167 candidates to 106 candidates (63.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	166	7	173

Merged error: 0.0b

Counts

173 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

266×	`times-frac`
260×	`*-un-lft-identity`
138×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
71×	`associate-r`
67×	`distribute-lft-out`
36×	`add-exp-log`
26×	`associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`flip3-+` `flip-+` `div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp` `associate-/l*`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 264

Calls

4 calls:

7.0ms	(+ (/ x y) 1.0)
14.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
11.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
31.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
30.0ms	(/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
48.0ms	(* x (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify104.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	724	2336
1	3827	2083
2	5001	1878

prune298.0ms

Filtered

276 candidates to 138 candidates (50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	276	7	283

Merged error: 0.0b

Counts

283 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
622×	`*-un-lft-identity`
344×	`add-sqr-sqrt` `add-cube-cbrt`
139×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `div-exp` `flip-+`
10×	`cbrt-undiv`
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 → 466

Calls

4 calls:

6.0ms	(+ (/ x y) 1.0)
15.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
14.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
25.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (/ x y) 1.0)
82.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
49.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify93.0ms

Algorithm

egg-herbie

Counts

478 → 478

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1291	5814
1	5001	5276

prune570.0ms

Filtered

478 candidates to 252 candidates (52.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	476	2	478
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	479	6	485

Merged error: 0b

Counts

485 → 6

regimes44.0ms

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	10	5
1	10	5

end0.0ms

sample376.0ms

Algorithm

intervals

Results

236.0ms

9133×

body

valid