Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ y x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/ x (+ y x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ x (+ y x))

simplify80.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	153
1	378	144
2	1031	144
3	3646	144
4	5001	144

prune62.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y x) x)
0.5b	(/ 1 (/ (+ y x) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 121

Calls

2 calls:

5.0ms	(/ (+ y x) x)
8.0ms	(/ 1 (/ (+ y x) x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ (+ y x) x)
43.0ms	(/ 1 (/ (+ y x) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	348	800
1	1547	702
2	5001	612

prune143.0ms

Filtered

127 candidates to 61 candidates (48.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1 (+ (/ y x) 1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-exp-log`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-cbrt-cube` `associate-/l*`
2×	`pow1` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `div-inv` `inv-pow` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

8.0ms

(/ 1 (+ (/ y x) 1))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ 1 (+ (/ y x) 1))

simplify139.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	123	206
1	555	166
2	1380	164
3	3723	164
4	5001	164

prune46.0ms

Filtered

40 candidates to 19 candidates (47.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
8.3b	(cbrt (/ x (+ y x)))
8.3b	(cbrt (/ x (+ y x)))
8.3b	(cbrt (/ x (+ y x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
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 → 180

Calls

4 calls:

20.0ms	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
5.0ms	(cbrt (/ x (+ y x)))
4.0ms	(cbrt (/ x (+ y x)))
4.0ms	(cbrt (/ x (+ y x)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
128.0ms	(cbrt (/ x (+ y x)))
121.0ms	(cbrt (/ x (+ y x)))
127.0ms	(cbrt (/ x (+ y x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	261	1712
1	848	1660
2	3122	1580
3	5001	1575

prune414.0ms

Filtered

192 candidates to 134 candidates (69.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	192	3	195

Merged error: 0b

Counts

195 → 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	5	2
1	5	2

end0.0ms

sample265.0ms

Algorithm

intervals

Results

133.0ms

8000×

body

valid