Details

analyze76.0ms

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

8.0ms

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: 9.0b

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))))))
5.8b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite77.0ms

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
9.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
23.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune256.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	191	7	198

Merged error: 4.1b

Counts

198 → 7

localize12.0ms

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)))))
17.8b	(/ 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)))))
10.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
6.0ms	(* (+ 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))))

simplify53.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune172.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	164	7	171

Merged error: 0.0b

Counts

171 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
103×	`add-exp-log`
73×	`times-frac`
65×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
48×	`add-cube-cbrt`
42×	`prod-exp`
36×	`associate-l`
35×	`div-exp`
31×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
11×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `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`

Counts

4 → 203

Calls

4 calls:

6.0ms	(/ y (+ y (+ x 1.0)))
5.0ms	(/ x (+ y x))
19.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
19.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ y (+ y (+ x 1.0)))
5.0ms	(/ x (+ y x))
22.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
11.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

simplify90.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4968	2739
1	4968	2739

prune190.0ms

Filtered

126 candidates to 215 candidates (-70.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	213	9	222

Merged error: 0b

Counts

222 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
59×	`*-un-lft-identity`
52×	`add-cbrt-cube`
44×	`add-sqr-sqrt` `times-frac`
40×	`prod-exp`
39×	`div-exp`
34×	`add-cube-cbrt` `associate-l`
18×	`cbrt-undiv`
17×	`associate-r`
16×	`cbrt-unprod`
14×	`associate-/r/`
13×	`distribute-lft-out`
11×	`pow1`
9×	`rec-exp` `1-exp`
8×	`flip3-+` `flip-+`
7×	`frac-times` `associate-*r/`
6×	`associate-/l*`
5×	`associate-/r*` `div-inv`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv` `inv-pow`

Counts

4 → 186

Calls

4 calls:

7.0ms	(/ x (+ y x))
13.0ms	(* (/ (+ y x) y) (+ y (+ x 1.0)))
22.0ms	(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
12.0ms	(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
8.0ms	(* (/ (+ y x) y) (+ y (+ x 1.0)))
19.0ms	(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
11.0ms	(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5295	2653

prune154.0ms

Filtered

122 candidates to 198 candidates (-62.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	199	8	207

Merged error: 0b

Counts

207 → 8

regimes150.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample395.0ms

Algorithm

intervals

Results

271.0ms

8000×

body

valid

Details

analyze76.0ms

sample16.0ms

simplify50.0ms

prune8.0ms

localize9.0ms

rewrite77.0ms

series53.0ms

simplify68.0ms

prune256.0ms

localize12.0ms

rewrite50.0ms

series43.0ms

simplify53.0ms

prune172.0ms

localize12.0ms

rewrite58.0ms

series45.0ms

simplify90.0ms

prune190.0ms

localize9.0ms

rewrite61.0ms

series43.0ms

simplify47.0ms

prune154.0ms

regimes150.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample395.0ms

Profiling