Details

analyze129.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.260498%

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify48.0ms

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: 20.3b

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))
20.1b	(/ (* 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:

9.0ms	(* (+ x y) (+ x y))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x y) (+ x y))
9.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
23.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune165.0ms

Filtered

88 candidates to 149 candidates (-69.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	7	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	7	150

Merged error: 7.9b

Counts

150 → 7

localize9.0ms

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)))
20.7b	(/ x (* (+ x y) (+ x y)))

rewrite55.0ms

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))
10.0ms	(* (+ x y) (+ x y))
23.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
4.0ms	(* (+ x y) (+ x y))
19.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ 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

prune175.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	183	6	189

Merged error: 0.0b

Counts

189 → 6

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

rewrite87.0ms

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))
46.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))
11.0ms	(/ (/ x (+ x y)) (+ x y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ y (+ (+ x y) 1.0))
6.0ms	(/ x (+ x y))
21.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ (/ x (+ x y)) (+ x y))

simplify114.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	982	2745
1	4559	2543
2	5001	2535

prune246.0ms

Filtered

194 candidates to 322 candidates (-66.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	322	6	328

Merged error: 0b

Counts

328 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
71×	`*-un-lft-identity`
52×	`add-cbrt-cube`
50×	`times-frac`
47×	`add-sqr-sqrt`
39×	`associate-r`
35×	`add-cube-cbrt`
31×	`div-exp`
28×	`prod-exp`
19×	`distribute-lft-out`
18×	`cbrt-undiv`
16×	`cbrt-unprod`
13×	`associate-l`
10×	`associate-/r/`
9×	`pow1`
8×	`associate-/r*`
5×	`rec-exp` `flip3-+` `1-exp` `flip-+` `div-inv` `unswap-sqr`
4×	`associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `un-div-inv` `*-commutative` `associate-/l/`
1×	`frac-times` `pow-flip` `associate-*l/` `inv-pow`

Counts

4 → 174

Calls

4 calls:

5.0ms	(/ 1 (+ x y))
23.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ (+ x y) 1.0)))
11.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
14.0ms	(* x (/ 1 (+ x y)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (+ x y))
22.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
5.0ms	(* x (/ 1 (+ x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	705	1306
1	4047	1078
2	5001	1025

prune131.0ms

Filtered

102 candidates to 186 candidates (-82.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Merged error: 0b

Counts

192 → 6

regimes90.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

end0.0ms

analyze124.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.260498%

sample403.0ms

Algorithm

intervals

Results

277.0ms

8000×

body

valid

Details

analyze129.0ms

sample20.0ms

simplify48.0ms

prune3.0ms

localize8.0ms

rewrite49.0ms

series35.0ms

simplify39.0ms

prune165.0ms

localize9.0ms

rewrite55.0ms

series38.0ms

simplify94.0ms

prune175.0ms

localize8.0ms

rewrite87.0ms

series42.0ms

simplify114.0ms

prune246.0ms

localize9.0ms

rewrite60.0ms

series40.0ms

simplify90.0ms

prune131.0ms

regimes90.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze124.0ms

sample403.0ms

Profiling