Details

analyze79.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5284	17

prune8.0ms

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: 12.1b

Counts

2 → 2

localize13.0ms

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))))
6.9b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.1b	(/ 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))))
23.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
16.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
9.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
18.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
18.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune456.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	191	7	198

Merged error: 4.7b

Counts

198 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.1b	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
14.4b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite51.0ms

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)))
21.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune180.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	163	8	171

Merged error: 0.0b

Counts

171 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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	(/ y (+ y x))
5.0ms	(/ x (+ y x))
14.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
50.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ y x))
5.0ms	(/ x (+ y x))
16.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
19.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

simplify97.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4980	5703
1	4980	5703

prune311.0ms

Filtered

206 candidates to 352 candidates (-70.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	352	8	360

Merged error: 0.0b

Counts

360 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
92×	`*-un-lft-identity`
70×	`times-frac`
64×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
47×	`add-cube-cbrt`
42×	`prod-exp`
36×	`div-exp` `associate-l`
23×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`frac-times` `associate-r/` `associate-/l` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 203

Calls

4 calls:

5.0ms	(/ x (+ y x))
5.0ms	(/ 1 (+ y x))
22.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
20.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
4.0ms	(/ 1 (+ y x))
18.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
11.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5033	2606

prune161.0ms

Filtered

123 candidates to 215 candidates (-74.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	215	8	223

Merged error: 0.0b

Counts

223 → 8

regimes104.0ms

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	14	17
1	14	17

end0.0ms

sample417.0ms

Algorithm

intervals

Results

280.0ms

8000×

body

valid

Details

analyze79.0ms

sample16.0ms

simplify50.0ms

prune8.0ms

localize13.0ms

rewrite73.0ms

series51.0ms

simplify69.0ms

prune456.0ms

localize11.0ms

rewrite51.0ms

series44.0ms

simplify55.0ms

prune180.0ms

localize9.0ms

rewrite92.0ms

series46.0ms

simplify97.0ms

prune311.0ms

localize11.0ms

rewrite60.0ms

series38.0ms

simplify61.0ms

prune161.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample417.0ms

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