Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/ (- x y) (- 1.0 y))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (- x y) (- 1.0 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	252	370
1	683	352
2	2384	352
3	5001	352

prune77.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
10.6b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
41×	`times-frac`
26×	`associate-l`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out`

Counts

2 → 98

Calls

2 calls:

15.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
8.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
70.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	633	949
1	2448	875
2	5001	814

prune165.0ms

Filtered

104 candidates to 80 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.1b	(/ 1 (sqrt (- 1.0 y)))
0.1b	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
0.1b	(/ (- x y) (sqrt (- 1.0 y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
155×	`*-un-lft-identity`
150×	`times-frac`
106×	`sqrt-prod`
77×	`add-cube-cbrt`
46×	`associate-r`
36×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
30×	`associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/` `associate-/l*`
6×	`cbrt-undiv` `flip3--` `flip--`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 257

Calls

4 calls:

3.0ms	(sqrt (- 1.0 y))
6.0ms	(/ 1 (sqrt (- 1.0 y)))
39.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
9.0ms	(/ (- x y) (sqrt (- 1.0 y)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (- 1.0 y))
54.0ms	(/ 1 (sqrt (- 1.0 y)))
35.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
81.0ms	(/ (- x y) (sqrt (- 1.0 y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	842	2441
1	3958	2143
2	5003	2011

prune356.0ms

Filtered

269 candidates to 145 candidates (53.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	269	3	272

Merged error: 0b

Counts

272 → 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	6	3

end0.0ms

sample299.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid