Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	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))

rewrite10.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

8.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	192	297
1	547	283
2	1899	283
3	5001	280

prune68.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
31×	`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`
7×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

2 → 177

Calls

2 calls:

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

series123.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ 1 (/ (+ x y) (- x y)))
58.0ms	(/ (+ x y) (- x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	469	1476
1	2170	1329
2	5002	1163

prune152.0ms

Filtered

183 candidates to 82 candidates (44.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	182	4	186

Merged error: 0b

Counts

186 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

581×	`*-un-lft-identity`
484×	`times-frac`
331×	`add-sqr-sqrt`
324×	`prod-diff`
319×	`add-cube-cbrt`
123×	`distribute-lft-out`
82×	`associate-/r/`
41×	`flip3-+` `flip-+` `div-inv`
18×	`fma-neg`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 442

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
29.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (+ x y))
36.0ms	(/ x (+ x y))
74.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	927	10910
1	2600	7864
2	5001	6854

prune350.0ms

Filtered

451 candidates to 151 candidates (33.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	451	4	455

Merged error: 0b

Counts

455 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* (- x y) (/ 1 (+ x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

2 → 88

Calls

2 calls:

5.0ms	(/ 1 (+ x y))
16.0ms	(* (- x y) (/ 1 (+ x y)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (+ x y))
60.0ms	(* (- x y) (/ 1 (+ x y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	277	446
1	1252	387
2	5002	342

prune91.0ms

Filtered

94 candidates to 54 candidates (57.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes31.0ms

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

sample301.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid