Details

sample367.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 95.944214%

Results

8.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 17.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
16.9b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite48.0ms

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))
19.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (+ x y) (+ x y))
8.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune171.0ms

Filtered

88 candidates to 149 candidates (-69.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	10	150

Merged error: 7.3b

Counts

150 → 10

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)))
20.2b	(/ 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:

9.0ms	(/ y (+ (+ x y) 1.0))
8.0ms	(* (+ x y) (+ x y))
21.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
3.0ms	(* (+ x y) (+ x y))
18.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

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

prune180.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	184	8	192

Merged error: 0.0b

Counts

192 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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:

6.0ms	(/ 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)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
12.0ms	(/ (/ x (+ x y)) (+ x y))
18.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify109.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (81.0ms)

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

prune246.0ms

Filtered

193 candidates to 322 candidates (-66.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	317	5	322
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	323	7	330

Merged error: 0b

Counts

330 → 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)) (/ y (+ (+ x y) 1.0)))
0.1b	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-exp-log` `add-cbrt-cube`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
19.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
15.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
14.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
18.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	628	1285
1	3418	1122
2	5002	1122

prune139.0ms

Filtered

118 candidates to 179 candidates (-51.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	179	7	186

Merged error: 0b

Counts

186 → 7

regimes96.0ms

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	12	8
1	12	8

end0.0ms

sample827.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 95.944214%

Results

275.0ms

8000×

body

valid

Details

sample367.0ms

simplify46.0ms

prune3.0ms

localize8.0ms

rewrite48.0ms

series30.0ms

simplify43.0ms

prune171.0ms

localize8.0ms

rewrite52.0ms

series36.0ms

simplify96.0ms

prune180.0ms

localize8.0ms

rewrite81.0ms

series42.0ms

simplify109.0ms

prune246.0ms

localize8.0ms

rewrite55.0ms

series43.0ms

simplify80.0ms

prune139.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample827.0ms

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