Details

sample128.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.553467%

Results

10.0ms

256×

body

valid

simplify47.0ms

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

prune2.0ms

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: 22.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
22.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite47.0ms

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:

10.0ms	(* (+ x y) (+ x y))
14.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.0ms	(/ (* 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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune169.0ms

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: 8.7b

Counts

150 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.2b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.3b	(/ x (* (+ x y) (+ x y)))

rewrite50.0ms

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))
22.0ms	(* (/ 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))
23.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (79.0ms)

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

prune180.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	177	5	182
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	184	7	191

Merged error: 0.0b

Counts

191 → 7

localize10.0ms

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))
0.2b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite77.0ms

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))
39.0ms	(* (/ (/ 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)))

simplify107.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (77.0ms)

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

prune248.0ms

Filtered

194 candidates to 322 candidates (-66.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	319	10	329

Merged error: 0b

Counts

329 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.4b	(cbrt (/ x (+ x y)))
5.4b	(cbrt (/ x (+ x y)))
5.4b	(cbrt (/ x (+ x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

19.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
4.0ms	(cbrt (/ x (+ x y)))
4.0ms	(cbrt (/ x (+ x y)))
4.0ms	(cbrt (/ x (+ x y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
24.0ms	(cbrt (/ x (+ x y)))
27.0ms	(cbrt (/ x (+ x y)))
24.0ms	(cbrt (/ x (+ x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	273	1690
1	942	1639
2	3837	1582
3	5002	1571

prune164.0ms

Filtered

134 candidates to 192 candidates (-43.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	192	10	202

Merged error: 0b

Counts

202 → 10

regimes193.0ms

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

sample602.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.553467%

Results

303.0ms

8000×

body

valid

Details

sample128.0ms

simplify47.0ms

prune2.0ms

localize7.0ms

rewrite47.0ms

series30.0ms

simplify38.0ms

prune169.0ms

localize10.0ms

rewrite50.0ms

series41.0ms

simplify94.0ms

prune180.0ms

localize10.0ms

rewrite77.0ms

series37.0ms

simplify107.0ms

prune248.0ms

localize14.0ms

rewrite40.0ms

series104.0ms

simplify86.0ms

prune164.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample602.0ms

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