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	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))

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-/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` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1757	276
3	5002	273

prune64.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0.0b

Counts

50 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

8.0ms	(/ x (+ x y))
5.0ms	(/ y (+ x y))
23.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x y))
41.0ms	(/ y (+ x y))
71.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	260	536
1	791	515
2	2118	515
3	5001	514

prune131.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
0.1b	(pow (/ x (+ x y)) 3)
0.1b	(* (/ x (+ x y)) (/ x (+ x y)))
0.1b	(pow (/ y (+ x y)) 3)

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

650×	`*-un-lft-identity`
643×	`times-frac`
540×	`add-sqr-sqrt`
292×	`unpow-prod-down` `cube-prod`
192×	`add-cube-cbrt`
144×	`difference-of-squares`
116×	`distribute-lft-out--`
103×	`associate-/r/`
94×	`distribute-lft-out`
81×	`associate-/l*`
50×	`sqr-pow`
48×	`distribute-rgt-out--`
47×	`flip3-+` `flip-+`
41×	`div-inv`
27×	`frac-add`
24×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
18×	`associate-r` `associate-l`
17×	`frac-times` `associate-*r/`
13×	`pow1`
11×	`associate-*l/`
7×	`cbrt-undiv` `div-exp`
6×	`cube-div` `pow-unpow`
4×	`difference-cubes` `pow-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp` `rem-cube-cbrt` `unswap-sqr`
3×	`associate-/r*`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `div-sub` `pow-prod-down` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub` `flip--` `sub-div`

Counts

4 → 567

Calls

4 calls:

137.0ms	(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
7.0ms	(pow (/ x (+ x y)) 3)
18.0ms	(* (/ x (+ x y)) (/ x (+ x y)))
7.0ms	(pow (/ y (+ x y)) 3)

series365.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
71.0ms	(pow (/ x (+ x y)) 3)
57.0ms	(* (/ x (+ x y)) (/ x (+ x y)))
78.0ms	(pow (/ y (+ x y)) 3)

simplify172.0ms

Algorithm

egg-herbie

Counts

579 → 579

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1809	15716
1	5002	15411

prune756.0ms

Filtered

579 candidates to 239 candidates (41.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	579	0	579
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	579	3	582

Merged error: 0b

Counts

582 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/l*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/r*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 277

Calls

4 calls:

30.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
8.0ms	(/ (- x y) (+ x y))
8.0ms	(/ (- x y) (+ x y))
8.0ms	(/ (- x y) (+ x y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
61.0ms	(/ (- x y) (+ x y))
58.0ms	(/ (- x y) (+ x y))
63.0ms	(/ (- x y) (+ x y))

simplify63.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	372	2821
1	1273	2741
2	5002	2564

prune458.0ms

Filtered

289 candidates to 173 candidates (59.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	289	3	292

Merged error: 0b

Counts

292 → 3

regimes48.0ms

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	18	22
1	18	22

end0.0ms

sample302.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid

Details

sample12.0ms

simplify6.0ms

prune1.0ms

localize4.0ms

rewrite9.0ms

series62.0ms

simplify44.0ms

prune64.0ms

localize6.0ms

rewrite39.0ms

series149.0ms

simplify64.0ms

prune131.0ms

localize13.0ms

rewrite219.0ms

series365.0ms

simplify172.0ms

prune756.0ms

localize8.0ms

rewrite72.0ms

series325.0ms

simplify63.0ms

prune458.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample302.0ms

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