Details

sample11.0ms

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))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (+ 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

prune66.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

15.0ms	(/ 1 (/ (- x y) (+ x y)))
7.0ms	(/ (- x y) (+ x y))

series169.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ 1 (/ (- x y) (+ x y)))
68.0ms	(/ (- x y) (+ x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (42.0ms)

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

prune151.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	179	3	182

Merged error: 0b

Counts

182 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:

10.0ms	(pow (/ (+ x y) (- x y)) 3)
8.0ms	(/ (+ x y) (- x y))
11.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))

series226.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(pow (/ (+ x y) (- x y)) 3)
66.0ms	(/ (+ x y) (- x y))
87.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (47.0ms)

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

prune188.0ms

Filtered

194 candidates to 87 candidates (44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	194	3	197

Merged error: 0b

Counts

197 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
80×	`times-frac`
47×	`add-cube-cbrt`
26×	`cbrt-prod`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/l*`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/l/`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
1×	`cbrt-div` `pow1/3`

Counts

4 → 173

Calls

4 calls:

10.0ms	(cbrt (/ (- x y) (+ x y)))
8.0ms	(/ (- x y) (+ x y))
8.0ms	(/ (- x y) (+ x y))
7.0ms	(/ (- x y) (+ x y))

series445.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (/ (- x y) (+ x y)))
65.0ms	(/ (- x y) (+ x y))
92.0ms	(/ (- x y) (+ x y))
67.0ms	(/ (- x y) (+ x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	239	1200
1	603	1147
2	1926	1142
3	5002	1125

prune358.0ms

Filtered

185 candidates to 126 candidates (68.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Merged error: 0b

Counts

188 → 3

regimes40.0ms

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	10	4
1	10	4

end0.0ms

sample267.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid