Details

sample12.0ms

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

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))

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-/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:

8.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (17.0ms)

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

prune79.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize9.0ms

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))

rewrite76.0ms

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-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
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` `frac-2neg` `flip3-+` `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 → 274

Calls

4 calls:

35.0ms	(* (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))

series348.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
64.0ms	(/ (+ x y) (- x y))
68.0ms	(/ (+ x y) (- x y))
71.0ms	(/ (+ x y) (- x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	352	2815
1	1244	2735
2	5001	2540

prune526.0ms

Filtered

286 candidates to 170 candidates (59.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	286	5	291

Merged error: 0b

Counts

291 → 5

localize9.0ms

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))

rewrite23.0ms

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:

11.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
142.0ms	(cbrt (+ x y))
146.0ms	(cbrt (+ x y))
139.0ms	(cbrt (+ x y))

simplify155.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (146.0ms)

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

prune230.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
0.3b	(/ (+ x y) (sqrt (- x y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

624×	`times-frac`
574×	`*-un-lft-identity`
412×	`add-sqr-sqrt`
400×	`sqrt-prod`
252×	`add-cube-cbrt`
81×	`distribute-lft-out`
80×	`distribute-lft-out--` `difference-of-squares`
42×	`associate-/l*`
22×	`sqrt-div` `associate-/r/`
16×	`associate-/r*`
11×	`flip3--` `flip--` `div-inv`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 427

Calls

2 calls:

27.0ms	(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
9.0ms	(/ (+ x y) (sqrt (- x y)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
163.0ms	(/ (+ x y) (sqrt (- x y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

433 → 433

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	883	6304
1	3252	5637
2	5001	5597

prune447.0ms

Filtered

433 candidates to 145 candidates (33.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	433	5	438

Merged error: 0b

Counts

438 → 5

regimes62.0ms

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

sample278.0ms

Algorithm

intervals

Results

154.0ms

8000×

body

valid