Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite10.0ms

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:

8.0ms

(/ x (+ x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ x (+ x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	118	153
1	378	144
2	1024	144
3	3620	144
4	5001	144

prune46.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) x)
0.6b	(/ 1 (/ (+ x y) x))

rewrite30.0ms

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:

8.0ms	(/ (+ x y) x)
17.0ms	(/ 1 (/ (+ x y) x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x y) x)
45.0ms	(/ 1 (/ (+ x y) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	346	800
1	1531	702
2	5001	612

prune97.0ms

Filtered

127 candidates to 59 candidates (46.5%)

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:

0.6b	(/ 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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify139.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	126	204
1	546	164
2	1369	164
3	3712	164
4	5001	164

prune33.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sqrt x) (+ x y))
0.1b	(* (sqrt x) (/ (sqrt x) (+ x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `times-frac`
36×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 104

Calls

2 calls:

6.0ms	(/ (sqrt x) (+ x y))
16.0ms	(* (sqrt x) (/ (sqrt x) (+ x y)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (sqrt x) (+ x y))
56.0ms	(* (sqrt x) (/ (sqrt x) (+ x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	260	698
1	1135	618
2	4796	594
3	5002	594

prune122.0ms

Filtered

110 candidates to 62 candidates (56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes36.0ms

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

sample284.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid