Details

sample559.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.260498%

Results

9.0ms

256×

body

valid

simplify50.0ms

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: 22.2b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) 1.0)
0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.9b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

8.0ms	(+ (+ x y) 1.0)
8.0ms	(* (+ 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)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (+ x y) 1.0)
3.0ms	(* (+ x y) (+ x y))
9.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	931	1554
1	5002	1411

prune186.0ms

Filtered

100 candidates to 167 candidates (-67.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	158	9	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	9	168

Merged error: 7.5b

Counts

168 → 9

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))))
19.3b	(/ x (* (+ x y) (+ x y)))

rewrite53.0ms

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))
21.0ms	(* (/ 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:

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))))
9.0ms	(/ x (* (+ x y) (+ x y)))

simplify97.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	664	1330
1	3551	1145
2	5001	1141

prune195.0ms

Filtered

112 candidates to 182 candidates (-62.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	8	182
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	182	9	191

Merged error: 0.0b

Counts

191 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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:

5.0ms	(/ x (+ x y))
6.0ms	(/ y (+ x (+ y 1.0)))
11.0ms	(/ (/ x (+ x y)) (+ x y))
44.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ x (+ y 1.0))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ x y))
6.0ms	(/ y (+ x (+ y 1.0)))
8.0ms	(/ (/ x (+ x y)) (+ x y))
24.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ x (+ y 1.0))))

simplify111.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	988	2774
1	4588	2546
2	5002	2545

prune263.0ms

Filtered

193 candidates to 322 candidates (-66.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	317	5	322
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	322	9	331

Merged error: 0b

Counts

331 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
80×	`add-exp-log`
53×	`times-frac`
52×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
39×	`associate-r`
36×	`add-cube-cbrt`
30×	`div-exp`
28×	`prod-exp`
27×	`distribute-lft-out`
18×	`cbrt-undiv`
16×	`cbrt-unprod`
13×	`associate-l`
10×	`associate-/r/`
9×	`associate-/r*`
8×	`pow1`
5×	`flip3-+` `flip-+` `div-inv` `unswap-sqr`
4×	`rec-exp` `1-exp` `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` `associate-*l/`

Counts

4 → 174

Calls

4 calls:

6.0ms	(/ y (+ x (+ y 1.0)))
11.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
22.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ x (+ y 1.0))))
10.0ms	(* x (/ 1 (+ x y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ x (+ y 1.0)))
8.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
22.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ x (+ y 1.0))))
5.0ms	(* x (/ 1 (+ x y)))

simplify97.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	733	1413
1	4056	1148
2	5002	1113

prune149.0ms

Filtered

111 candidates to 186 candidates (-67.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	186	9	195

Merged error: 0b

Counts

195 → 9

regimes110.0ms

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	19	9
1	19	9

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.260498%

Results

279.0ms

8000×

body

valid

Details

sample559.0ms

simplify50.0ms

prune3.0ms

localize8.0ms

rewrite56.0ms

series34.0ms

simplify42.0ms

prune186.0ms

localize9.0ms

rewrite53.0ms

series38.0ms

simplify97.0ms

prune195.0ms

localize9.0ms

rewrite83.0ms

series44.0ms

simplify111.0ms

prune263.0ms

localize12.0ms

rewrite56.0ms

series43.0ms

simplify97.0ms

prune149.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling