Details

analyze71.0ms

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

sample20.0ms

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

prune9.0ms

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

localize8.0ms

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))))
4.9b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.4b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite74.0ms

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)))
17.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
22.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
15.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (+ 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)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune287.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	187	9	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Merged error: 3.1b

Counts

198 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.0b	(/ x (+ y x))
0.1b	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
12.7b	(/ 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:

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))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) (+ x (+ y 1.0)))
5.0ms	(/ x (+ y x))
22.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune189.0ms

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	6	2	8
Picked	1	0	1
Done	0	0	0
Total	166	7	173

Merged error: 0.0b

Counts

173 → 7

localize10.0ms

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

rewrite61.0ms

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:

7.0ms	(/ y (+ y (+ x 1.0)))
7.0ms	(/ x (+ y x))
19.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
20.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ y (+ y (+ x 1.0)))
5.0ms	(/ x (+ 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))))

simplify94.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4968	2739
1	4968	2739

prune188.0ms

Filtered

128 candidates to 215 candidates (-68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Merged error: 0.0b

Counts

222 → 7

localize11.0ms

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)))))
0.4b	(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

rewrite60.0ms

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:

5.0ms	(/ x (+ y x))
15.0ms	(* (/ (+ y x) y) (+ y (+ x 1.0)))
21.0ms	(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
12.0ms	(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
7.0ms	(* (/ (+ y x) y) (+ y (+ x 1.0)))
18.0ms	(* (/ x (+ y x)) (/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0)))))
11.0ms	(/ 1 (* (/ (+ y x) y) (+ y (+ x 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5295	2653

prune155.0ms

Filtered

122 candidates to 198 candidates (-62.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	199	6	205

Merged error: 0.0b

Counts

205 → 6

regimes91.0ms

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

sample408.0ms

Algorithm

intervals

Results

281.0ms

8000×

body

valid

Details

analyze71.0ms

sample20.0ms

simplify50.0ms

prune9.0ms

localize8.0ms

rewrite74.0ms

series51.0ms

simplify71.0ms

prune287.0ms

localize10.0ms

rewrite52.0ms

series44.0ms

simplify56.0ms

prune189.0ms

localize10.0ms

rewrite61.0ms

series40.0ms

simplify94.0ms

prune188.0ms

localize11.0ms

rewrite60.0ms

series41.0ms

simplify50.0ms

prune155.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample408.0ms

Profiling