Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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))

simplify46.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (14.0ms)

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

prune73.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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)))
8.0ms	(/ (- x y) (+ x y))

series127.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ 1 (/ (- x y) (+ x y)))
66.0ms	(/ (- x y) (+ x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (46.0ms)

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

prune146.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	180	4	184

Merged error: 0b

Counts

184 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

9.0ms	(exp (/ (+ x y) (- x y)))
10.0ms	(log (exp (/ (+ x y) (- x y))))
8.0ms	(/ (+ x y) (- x y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(exp (/ (+ x y) (- x y)))
63.0ms	(log (exp (/ (+ x y) (- x y))))
64.0ms	(/ (+ x y) (- x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	235	660
1	607	623
2	1640	614
3	5001	611

prune182.0ms

Filtered

126 candidates to 85 candidates (67.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

954×	`times-frac`
631×	`*-un-lft-identity`
491×	`add-sqr-sqrt`
369×	`add-cube-cbrt`
87×	`associate-/r/`
70×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
51×	`add-exp-log`
44×	`div-inv`
36×	`div-exp`
27×	`associate-/r` `associate-/l`
23×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

3 → 527

Calls

3 calls:

5.0ms	(/ 1 (- x y))
5.0ms	(/ 1 (+ x y))
21.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- x y))
31.0ms	(/ 1 (+ x y))
66.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1792	6271
1	5001	5506

prune498.0ms

Filtered

536 candidates to 205 candidates (38.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	536	4	540

Merged error: 0b

Counts

540 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample297.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid