Details

analyze73.0ms

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

sample32.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

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: 12.2b

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))))
5.9b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.2b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite76.0ms

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))))
26.0ms	(* 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)))
12.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
19.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
14.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune274.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	188	10	198

Merged error: 3.4b

Counts

198 → 10

localize13.0ms

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)))))
16.4b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite52.0ms

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))))

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))))

simplify54.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune187.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	166	8	174

Merged error: 0.0b

Counts

174 → 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))))

rewrite93.0ms

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))
16.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
48.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ y x))
10.0ms	(/ x (+ y x))
11.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
19.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

simplify94.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	5703
1	4980	5703

prune316.0ms

Filtered

207 candidates to 352 candidates (-70.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	350	2	352
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	353	7	360

Merged error: 0b

Counts

360 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4980	2003
1	4980	2003

prune135.0ms

Filtered

116 candidates to 174 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	175	6	181

Merged error: 0b

Counts

181 → 6

regimes138.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample748.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid

Details

analyze73.0ms

sample32.0ms

simplify46.0ms

prune8.0ms

localize9.0ms

rewrite76.0ms

series51.0ms

simplify68.0ms

prune274.0ms

localize13.0ms

rewrite52.0ms

series45.0ms

simplify54.0ms

prune187.0ms

localize9.0ms

rewrite93.0ms

series45.0ms

simplify94.0ms

prune316.0ms

localize9.0ms

rewrite48.0ms

series42.0ms

simplify58.0ms

prune135.0ms

regimes138.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample748.0ms

Profiling