Details

analyze84.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5284	17

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 10.7b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.1b	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
5.4b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
10.3b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

88×	`frac-times`
87×	`flip3-+` `flip-+`
52×	`associate-/r/`
45×	`associate-*r/`
39×	`associate-r`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-*l/`
21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`add-cube-cbrt`
11×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `distribute-lft-out`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 184

Calls

4 calls:

10.0ms	(* (+ x y) (+ x (+ y 1.0)))
14.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
25.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
9.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
24.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune278.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Merged error: 3.3b

Counts

198 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.0b	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
14.1b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
31×	`times-frac`
27×	`add-cube-cbrt`
22×	`associate-l`
20×	`flip3-+` `associate-r` `associate-/r/` `flip-+`
13×	`frac-times`
11×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`associate-r/` `associate-l/`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 152

Calls

4 calls:

5.0ms	(/ x (+ y x))
10.0ms	(* (+ x y) (+ x (+ y 1.0)))
20.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
6.0ms	(* (+ x y) (+ x (+ y 1.0)))
22.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
12.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune186.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	165	8	173

Merged error: 0.0b

Counts

173 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

429×	`*-un-lft-identity`
357×	`times-frac`
177×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
155×	`distribute-lft-out`
96×	`associate-r`
34×	`add-exp-log` `add-cbrt-cube`
32×	`associate-/r/`
24×	`associate-/l*`
18×	`associate-l`
16×	`flip3-+` `flip-+` `div-inv`
14×	`cbrt-undiv` `div-exp`
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 → 340

Calls

4 calls:

5.0ms	(/ x (+ y x))
5.0ms	(/ y (+ y x))
13.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
47.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
5.0ms	(/ y (+ y x))
16.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
20.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

simplify92.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	5703
1	4980	5703

prune334.0ms

Filtered

207 candidates to 352 candidates (-70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	352	8	360

Merged error: 0.0b

Counts

360 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.0b	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
0.0b	(* (/ 1 (/ (+ x y) x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
0.6b	(/ 1 (/ (+ x y) x))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

537×	`times-frac`
536×	`*-un-lft-identity`
286×	`add-sqr-sqrt`
229×	`add-cube-cbrt`
169×	`distribute-lft-out`
100×	`add-exp-log`
96×	`associate-r`
53×	`div-exp` `associate-l`
52×	`add-cbrt-cube`
30×	`associate-/r/`
25×	`cbrt-undiv` `associate-/r*`
24×	`associate-/l*`
23×	`div-inv`
21×	`prod-exp`
15×	`unswap-sqr`
14×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`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 → 457

Calls

4 calls:

9.0ms	(/ y (+ y x))
27.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
108.0ms	(* (/ 1 (/ (+ x y) x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
7.0ms	(/ 1 (/ (+ x y) x))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ y x))
11.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
24.0ms	(* (/ 1 (/ (+ x y) x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
5.0ms	(/ 1 (/ (+ x y) x))

simplify116.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4982	7751
1	4982	7751

prune408.0ms

Filtered

259 candidates to 469 candidates (-81.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	469	8	477

Merged error: 0b

Counts

477 → 8

regimes109.0ms

Accuracy

0% (0.1b 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	18	19
1	18	19

end0.0ms

sample407.0ms

Algorithm

intervals

Results

287.0ms

8000×

body

valid

Details

analyze84.0ms

sample16.0ms

simplify49.0ms

prune9.0ms

localize9.0ms

rewrite73.0ms

series54.0ms

simplify71.0ms

prune278.0ms

localize10.0ms

rewrite50.0ms

series45.0ms

simplify53.0ms

prune186.0ms

localize9.0ms

rewrite87.0ms

series46.0ms

simplify92.0ms

prune334.0ms

localize11.0ms

rewrite202.0ms

series46.0ms

simplify116.0ms

prune408.0ms

regimes109.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample407.0ms

Profiling