Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

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

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) (- 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))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify41.0ms

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

prune61.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

9.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series529.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
127.0ms	(cbrt (+ x y))
119.0ms	(cbrt (+ x y))
123.0ms	(cbrt (+ x y))

simplify135.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune186.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

287×	`*-un-lft-identity`
170×	`times-frac`
165×	`add-sqr-sqrt`
162×	`sqrt-prod`
77×	`add-cube-cbrt`
53×	`swap-sqr`
50×	`distribute-lft-out`
42×	`distribute-lft-out--`
30×	`difference-of-squares`
29×	`associate-r` `associate-l`
18×	`pow1`
12×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`pow-prod-up`
4×	`sqrt-div` `associate-/l/`
3×	`pow-prod-down` `pow-sqr` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 238

Calls

3 calls:

7.0ms	(/ (+ x y) (- x y))
7.0ms	(/ (+ x y) (- x y))
30.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))

series189.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (+ x y) (- x y))
62.0ms	(/ (+ x y) (- x y))
65.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	359	1753
1	1664	1660
2	5001	1630

prune310.0ms

Filtered

247 candidates to 129 candidates (52.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	247	4	251

Merged error: 0b

Counts

251 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.1b	(/ 1 (sqrt (- x y)))
0.1b	(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
0.2b	(/ (+ x y) (sqrt (- x y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
147×	`*-un-lft-identity`
134×	`times-frac`
96×	`sqrt-prod`
73×	`add-cube-cbrt`
38×	`associate-r`
32×	`add-exp-log`
30×	`associate-l`
20×	`add-cbrt-cube`
17×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
16×	`associate-/r*`
15×	`unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/`
7×	`associate-/l*`
6×	`cbrt-undiv`
5×	`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` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 239

Calls

4 calls:

3.0ms	(sqrt (- x y))
6.0ms	(/ 1 (sqrt (- x y)))
37.0ms	(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
8.0ms	(/ (+ x y) (sqrt (- x y)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (- x y))
77.0ms	(/ 1 (sqrt (- x y)))
63.0ms	(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
147.0ms	(/ (+ x y) (sqrt (- x y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	687	2207
1	4208	1927
2	5001	1795

prune324.0ms

Filtered

251 candidates to 133 candidates (53.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	251	4	255

Merged error: 0b

Counts

255 → 4

regimes46.0ms

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
1	6	3

end0.0ms

sample308.0ms

Algorithm

intervals

Results

182.0ms

8000×

body

valid