Details

sample252.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.103882%

Results

9.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

prune3.0ms

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: 18.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.3b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

8.0ms	(* (+ x y) (+ x y))
14.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (+ x y) (+ x y))
8.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune166.0ms

Filtered

88 candidates to 149 candidates (-69.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	9	150

Merged error: 6.3b

Counts

150 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.8b	(/ x (* (+ x y) (+ x y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
8.0ms	(* (+ x y) (+ x y))
23.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
4.0ms	(* (+ x y) (+ x y))
19.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
11.0ms	(/ x (* (+ x y) (+ x y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	661	1282
1	3591	1138
2	5002	1127

prune207.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	178	4	182
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	184	7	191

Merged error: 0.0b

Counts

191 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
10.0ms	(/ (/ x (+ x y)) (+ x y))
42.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
8.0ms	(/ (/ x (+ x y)) (+ x y))
18.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify127.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	982	2745
1	4559	2543
2	5002	2535

prune250.0ms

Filtered

194 candidates to 322 candidates (-66.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	316	6	322
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	321	8	329

Merged error: 0b

Counts

329 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(/ (/ 1 (/ (+ x y) x)) (+ x y))
0.1b	(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
0.3b	(/ 1 (/ (+ x y) x))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

1334×	`times-frac`
988×	`*-un-lft-identity`
597×	`add-sqr-sqrt`
549×	`add-cube-cbrt`
221×	`distribute-lft-out`
218×	`associate-l`
100×	`add-exp-log`
59×	`associate-/l*`
58×	`div-exp`
52×	`add-cbrt-cube`
45×	`div-inv`
26×	`cbrt-undiv`
25×	`associate-/r*`
21×	`associate-r`
18×	`associate-/r/`
16×	`prod-exp`
12×	`unswap-sqr`
8×	`rec-exp` `1-exp` `cbrt-unprod`
7×	`pow1`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 704

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
19.0ms	(/ (/ 1 (/ (+ x y) x)) (+ x y))
91.0ms	(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
10.0ms	(/ 1 (/ (+ x y) x))

series45.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
8.0ms	(/ (/ 1 (/ (+ x y) x)) (+ x y))
17.0ms	(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
13.0ms	(/ 1 (/ (+ x y) x))

simplify137.0ms

Algorithm

egg-herbie

Counts

716 → 716

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2166	7789
1	5001	7153

prune620.0ms

Filtered

373 candidates to 716 candidates (-92.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	716	0	716
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	716	8	724

Merged error: 0b

Counts

724 → 8

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample730.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.103882%

Results

297.0ms

8000×

body

valid

Details

sample252.0ms

simplify60.0ms

prune3.0ms

localize8.0ms

rewrite49.0ms

series29.0ms

simplify49.0ms

prune166.0ms

localize8.0ms

rewrite52.0ms

series41.0ms

simplify119.0ms

prune207.0ms

localize8.0ms

rewrite82.0ms

series37.0ms

simplify127.0ms

prune250.0ms

localize10.0ms

rewrite182.0ms

series45.0ms

simplify137.0ms

prune620.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample730.0ms

Profiling