Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

292×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	21	4
2	24	4
3	25	4
4	25	4

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- (/ (* x y) 2.0) (/ z 8.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-cube-cbrt` `times-frac` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/ (* x y) 2.0)
10.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

series61.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
42.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	209	217
1	779	198
2	3389	197
3	5001	197

prune79.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0b

Counts

44 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (/ 2.0 y)) (/ z 8.0))
0.3b	(/ x (/ 2.0 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
65×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 91

Calls

2 calls:

31.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
5.0ms	(/ x (/ 2.0 y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
23.0ms	(/ x (/ 2.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	440	653
1	1589	629
2	5002	627

prune235.0ms

Filtered

97 candidates to 79 candidates (81.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
0.4b	(/ (* x y) (sqrt 2.0))
0.4b	(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
69×	`add-sqr-sqrt`
62×	`sqrt-prod`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`difference-of-squares`
5×	`add-log-exp`
3×	`pow1`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate-/l/`

Counts

3 → 141

Calls

3 calls:

41.0ms	(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
5.0ms	(/ (* x y) (sqrt 2.0))
8.0ms	(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))

series347.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ z 8.0))
72.0ms	(/ (* x y) (sqrt 2.0))
115.0ms	(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	493	1319
1	2048	1137
2	5002	1126

prune254.0ms

Filtered

150 candidates to 83 candidates (55.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 2.0 y) z)
8.7b	(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative` `flip--`

Counts

2 → 59

Calls

2 calls:

6.0ms	(* (/ 2.0 y) z)
9.0ms	(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (/ 2.0 y) z)
51.0ms	(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	369	435
1	1875	353
2	5001	352

prune130.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Merged error: 0b

Counts

68 → 3

regimes104.0ms

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	10	4
1	10	4

end0.0ms

sample420.0ms

Algorithm

intervals

Results

228.0ms

9174×

body

valid