Details

analyze87.0ms

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

11.0ms

256×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	6236	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: 12.0b

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))))
7.3b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
8.4b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite73.0ms

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))))
22.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
18.0ms	(/ 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)))
8.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
22.0ms	(* 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 (48.0ms)

Iter	Nodes	Cost
0	4992	3906
1	4992	3906

prune330.0ms

Filtered

144 candidates to 196 candidates (-36.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	187	9	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	188	10	198

Merged error: 4.9b

Counts

198 → 10

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)))))
18.6b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite51.0ms

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)))))
11.0ms	(/ 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)))
18.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
14.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5009	2281

prune220.0ms

Filtered

123 candidates to 164 candidates (-33.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	165	9	174

Merged error: 0.0b

Counts

174 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

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	(/ x (+ y x))
5.0ms	(/ y (+ y x))
49.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
13.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ y x))
10.0ms	(/ y (+ y x))
18.0ms	(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
11.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))

simplify100.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5000	5707

prune358.0ms

Filtered

202 candidates to 352 candidates (-74.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	347	5	352
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	352	9	361

Merged error: 0b

Counts

361 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.1b	(* (/ 1 (/ (+ y x) x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
0.1b	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
0.3b	(/ 1 (/ (+ y x) x))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

537×	`times-frac`
536×	`*-un-lft-identity`
286×	`add-sqr-sqrt`
229×	`add-cube-cbrt`
169×	`distribute-lft-out`
100×	`add-exp-log`
96×	`associate-r`
53×	`div-exp` `associate-l`
52×	`add-cbrt-cube`
30×	`associate-/r/`
25×	`cbrt-undiv` `associate-/r*`
24×	`associate-/l*`
23×	`div-inv`
21×	`prod-exp`
15×	`unswap-sqr`
14×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 457

Calls

4 calls:

5.0ms	(/ y (+ y x))
86.0ms	(* (/ 1 (/ (+ y x) x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))
12.0ms	(/ (/ y (+ y x)) (+ x (+ y 1.0)))
7.0ms	(/ 1 (/ (+ y x) x))

series46.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4999	7770
1	4999	7770

prune627.0ms

Filtered

254 candidates to 469 candidates (-84.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	470	8	478

Merged error: 0b

Counts

478 → 8

regimes106.0ms

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	40	17
1	40	17

end0.0ms

sample444.0ms

Algorithm

intervals

Results

302.0ms

8000×

body

valid

Details

analyze87.0ms

sample20.0ms

simplify126.0ms

prune9.0ms

localize9.0ms

rewrite73.0ms

series50.0ms

simplify68.0ms

prune330.0ms

localize10.0ms

rewrite51.0ms

series43.0ms

simplify62.0ms

prune220.0ms

localize9.0ms

rewrite91.0ms

series44.0ms

simplify100.0ms

prune358.0ms

localize10.0ms

rewrite140.0ms

series46.0ms

simplify70.0ms

prune627.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample444.0ms

Profiling