Details

sample11.0ms

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

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))

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))

simplify46.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (15.0ms)

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

prune66.0ms

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

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`
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:

14.0ms	(/ 1 (/ (- x y) (+ x y)))
8.0ms	(/ (- x y) (+ x y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ 1 (/ (- x y) (+ x y)))
64.0ms	(/ (- x y) (+ x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (43.0ms)

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

prune155.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	181	3	184

Merged error: 0b

Counts

184 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
286×	`*-un-lft-identity`
204×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
83×	`exp-prod`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/r*`
18×	`associate-/r/`
16×	`add-exp-log`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3-+` `div-exp` `flip-+` `associate-/l*`
4×	`pow1` `cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `rem-exp-log` `inv-pow`

Counts

3 → 265

Calls

3 calls:

20.0ms	(exp (/ 1 (/ (- x y) (+ x y))))
11.0ms	(/ 1 (/ (- x y) (+ x y)))
8.0ms	(/ (- x y) (+ x y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(exp (/ 1 (/ (- x y) (+ x y))))
59.0ms	(/ 1 (/ (- x y) (+ x y)))
67.0ms	(/ (- x y) (+ x y))

simplify77.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	557	2138
1	2347	1919
2	5001	1657

prune373.0ms

Filtered

274 candidates to 142 candidates (51.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	274	3	277

Merged error: 0b

Counts

277 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

13.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
145.0ms	(cbrt (- x y))
141.0ms	(cbrt (- x y))
143.0ms	(cbrt (- x y))

simplify155.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	261	760
1	912	723
2	4506	670
3	5001	660

prune284.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 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	12	6
1	12	6

end0.0ms

sample274.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

valid