Details

analyze70.0ms

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

sample19.0ms

Algorithm

intervals

Results

12.0ms

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: 11.1b

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))))
5.4b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.3b	(/ 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:

13.0ms	(* (+ 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))))))
16.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
9.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
19.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
14.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune266.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Merged error: 3.7b

Counts

198 → 8

localize10.0ms

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)))))
16.1b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite57.0ms

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)))
25.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
6.0ms	(* (+ x y) (+ x (+ y 1.0)))
19.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune174.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	166	6	172

Merged error: 0.0b

Counts

172 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

411×	`*-un-lft-identity`
345×	`times-frac`
167×	`add-sqr-sqrt`
151×	`distribute-lft-out`
146×	`add-cube-cbrt`
96×	`associate-r`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-/r/`
21×	`associate-/l*`
18×	`associate-l`
15×	`flip3-+` `flip-+` `div-inv`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

3 → 307

Calls

3 calls:

5.0ms	(/ x (+ y x))
13.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
53.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series40.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify91.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4997	5416
1	4997	5416

prune271.0ms

Filtered

181 candidates to 316 candidates (-74.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	312	4	316
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	314	8	322

Merged error: 0b

Counts

322 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
45×	`times-frac`
42×	`add-sqr-sqrt`
35×	`add-exp-log` `add-cbrt-cube`
30×	`add-cube-cbrt`
18×	`associate-r` `associate-l`
16×	`distribute-lft-out`
14×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`prod-exp` `associate-/r/` `cbrt-unprod`
5×	`pow1`
4×	`flip3-+` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`
3×	`associate-/l/` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 129

Calls

3 calls:

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)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ x (+ x y))
13.0ms	(* (/ x (+ x y)) (/ y (+ x y)))
19.0ms	(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	1716
1	4995	1716

prune106.0ms

Filtered

92 candidates to 138 candidates (-50.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Merged error: 0b

Counts

146 → 8

regimes101.0ms

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

sample584.0ms

Algorithm

intervals

Results

457.0ms

8000×

body

valid

Details

analyze70.0ms

sample19.0ms

simplify48.0ms

prune8.0ms

localize9.0ms

rewrite76.0ms

series48.0ms

simplify73.0ms

prune266.0ms

localize10.0ms

rewrite57.0ms

series41.0ms

simplify57.0ms

prune174.0ms

localize9.0ms

rewrite89.0ms

series40.0ms

simplify91.0ms

prune271.0ms

localize9.0ms

rewrite43.0ms

series37.0ms

simplify54.0ms

prune106.0ms

regimes101.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample584.0ms

Profiling