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

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

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: 9.9b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.0b	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
6.0b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
6.4b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite78.0ms

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)))
15.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
23.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
20.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
9.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
21.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
14.0ms	(/ 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

prune262.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	190	8	198

Merged error: 3.5b

Counts

198 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.0b	(/ x (+ y x))
0.0b	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
17.5b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite53.0ms

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:

10.0ms	(* (+ x y) (+ x (+ y 1.0)))
5.0ms	(/ x (+ y x))
21.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
5.0ms	(/ x (+ y x))
212.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune177.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Merged error: 0.0b

Counts

172 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

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))
54.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
14.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ y (+ y x))
5.0ms	(/ x (+ y x))
18.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
11.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	5703
1	4980	5703

prune286.0ms

Filtered

202 candidates to 352 candidates (-74.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	351	8	359

Merged error: 0b

Counts

359 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
57×	`times-frac`
52×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
38×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out`
18×	`associate-r` `associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 162

Calls

4 calls:

17.0ms	(* (/ y (+ y x)) (/ x (+ y x)))
5.0ms	(/ y (+ y x))
5.0ms	(/ x (+ y x))
16.0ms	(/ (* (/ y (+ y x)) (/ x (+ y x))) (+ x (+ y 1.0)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ y (+ y x)) (/ x (+ y x)))
7.0ms	(/ y (+ y x))
5.0ms	(/ x (+ y x))
18.0ms	(/ (* (/ y (+ y x)) (/ x (+ y x))) (+ x (+ y 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4986	2003
1	4986	2003

prune140.0ms

Filtered

117 candidates to 174 candidates (-48.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	174	8	182

Merged error: 0b

Counts

182 → 8

regimes156.0ms

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

sample407.0ms

Algorithm

intervals

Results

275.0ms

8000×

body

valid

Details

analyze76.0ms

sample15.0ms

simplify48.0ms

prune8.0ms

localize9.0ms

rewrite78.0ms

series50.0ms

simplify69.0ms

prune262.0ms

localize13.0ms

rewrite53.0ms

series234.0ms

simplify54.0ms

prune177.0ms

localize11.0ms

rewrite97.0ms

series43.0ms

simplify95.0ms

prune286.0ms

localize12.0ms

rewrite48.0ms

series40.0ms

simplify60.0ms

prune140.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample407.0ms

Profiling