Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (+ x y) (- x y))

simplify43.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune67.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(/ (+ x y) (- x y))
0.0b	(pow (/ (+ x y) (- x y)) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

13.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
7.0ms	(/ (+ x y) (- x y))
9.0ms	(pow (/ (+ x y) (- x y)) 3)

series263.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
95.0ms	(/ (+ x y) (- x y))
72.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	482	1409
1	2128	1316
2	5002	1298

prune204.0ms

Filtered

194 candidates to 85 candidates (43.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Merged error: 0b

Counts

199 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ 1 (/ (- x y) (+ x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

7.0ms	(/ (- x y) (+ x y))
11.0ms	(/ 1 (/ (- x y) (+ x y)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- x y) (+ x y))
64.0ms	(/ 1 (/ (- x y) (+ x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	486	1464
1	2198	1313
2	5001	1169

prune141.0ms

Filtered

180 candidates to 78 candidates (43.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	180	5	185

Merged error: 0b

Counts

185 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
155×	`times-frac`
114×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
35×	`distribute-lft-out--`
28×	`associate-/r/` `distribute-lft-out`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

4 → 185

Calls

4 calls:

5.0ms	(/ x (+ x y))
23.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms	(/ y (+ x y))
23.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x y))
79.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
40.0ms	(/ y (+ x y))
75.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	431	1483
1	1628	1397
2	5001	1296

prune215.0ms

Filtered

197 candidates to 114 candidates (57.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	198	4	202

Merged error: 0b

Counts

202 → 4

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample303.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid