Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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))

rewrite12.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

10.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	174	296
1	526	282
2	1532	278
3	5001	278

prune77.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

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))

rewrite22.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series533.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
125.0ms	(cbrt (+ x y))
119.0ms	(cbrt (+ x y))
123.0ms	(cbrt (+ x y))

simplify143.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	255	701
1	926	660
2	4357	610
3	5001	610

prune225.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `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 → 244

Calls

3 calls:

32.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
8.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))

series187.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
62.0ms	(/ (+ x y) (- x y))
57.0ms	(/ (+ x y) (- x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	368	1776
1	1680	1681
2	5001	1651

prune387.0ms

Filtered

253 candidates to 137 candidates (54.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Merged error: 0b

Counts

256 → 3

regimes37.0ms

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

sample266.0ms

Algorithm

intervals

Results

144.0ms

8000×

body

valid