Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	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

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:

7.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune67.0ms

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

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
81×	`times-frac`
48×	`add-cube-cbrt`
29×	`associate-r`
28×	`cbrt-prod`
23×	`pow1` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/l*`
12×	`cbrt-div` `associate-/r*`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `associate-*r/` `div-exp` `prod-exp` `clear-num` `pow-sqr` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 204

Calls

4 calls:

32.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))
7.0ms	(/ (- x y) (+ x y))
8.0ms	(/ (- x y) (+ x y))
7.0ms	(/ (- x y) (+ x y))

series275.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))
65.0ms	(/ (- x y) (+ x y))
60.0ms	(/ (- x y) (+ x y))
66.0ms	(/ (- x y) (+ x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	378	1733
1	1278	1574
2	5001	1482

prune362.0ms

Filtered

216 candidates to 135 candidates (62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	216	3	219

Merged error: 0b

Counts

219 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(pow (cbrt (/ (- x y) (+ x y))) 3)
0.0b	(/ (- x y) (+ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`cbrt-prod`
47×	`add-cube-cbrt`
29×	`unpow-prod-down` `cube-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`add-exp-log`
5×	`add-cbrt-cube` `associate-/l*`
4×	`pow1` `flip3-+` `associate-/r*` `flip-+` `div-inv`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-div` `pow-pow` `pow1/3` `associate-/l/`
1×	`cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 158

Calls

3 calls:

6.0ms	(cbrt (/ (- x y) (+ x y)))
10.0ms	(pow (cbrt (/ (- x y) (+ x y))) 3)
7.0ms	(/ (- x y) (+ x y))

series573.0ms

Counts

3 → 9

Calls

3 calls:

208.0ms	(cbrt (/ (- x y) (+ x y)))
298.0ms	(pow (cbrt (/ (- x y) (+ x y))) 3)
66.0ms	(/ (- x y) (+ x y))

simplify73.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	488	1186
1	2453	1116
2	5002	1112

prune212.0ms

Filtered

167 candidates to 89 candidates (53.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Merged error: 0b

Counts

170 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.0b	(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
0.2b	(/ (- x y) (sqrt (+ x y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

602×	`times-frac`
562×	`*-un-lft-identity`
384×	`add-sqr-sqrt`
360×	`sqrt-prod`
254×	`add-cube-cbrt`
90×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`flip3--` `flip--`

Counts

4 → 449

Calls

4 calls:

3.0ms	(sqrt (+ x y))
3.0ms	(sqrt (+ x y))
22.0ms	(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
9.0ms	(/ (- x y) (sqrt (+ x y)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ x y))
40.0ms	(sqrt (+ x y))
67.0ms	(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
65.0ms	(/ (- x y) (sqrt (+ x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	864	6164
1	3291	5441
2	5001	5429

prune654.0ms

Filtered

461 candidates to 170 candidates (36.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	461	3	464

Merged error: 0b

Counts

464 → 3

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample295.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid