Details

sample932.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 84.166179%

Results

6.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune3.0ms

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: 14.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
13.9b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
6.0ms	(/ (* x (- y z)) y)

series19.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune66.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- y z))
9.0ms	(/ x (/ y (- y z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune120.0ms

Filtered

108 candidates to 145 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.2b	(/ 1 (/ (/ y (- y z)) x))
2.0b	(/ (/ y (- y z)) x)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
439×	`add-sqr-sqrt` `*-un-lft-identity`
335×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

5.0ms	(/ y (- y z))
17.0ms	(/ 1 (/ (/ y (- y z)) x))
9.0ms	(/ (/ y (- y z)) x)

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (- y z))
10.0ms	(/ 1 (/ (/ y (- y z)) x))
10.0ms	(/ (/ y (- y z)) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1404	4470
1	5001	3997

prune324.0ms

Filtered

281 candidates to 444 candidates (-58.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	443	1	444
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	444	6	450

Merged error: 0b

Counts

450 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
7.1b	(/ (* x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(- x (/ (* x z) y))
4.0ms	(/ (* x z) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- x (/ (* x z) y))
5.0ms	(/ (* x z) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	174
1	692	158
2	3437	158
3	5001	158

prune32.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	41	6	47

Merged error: 0b

Counts

47 → 6

regimes229.0ms

Accuracy

43% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 84.166179%

Results

224.0ms	8000×	body	80	valid
26.0ms	956×	body	80	invalid

Details

sample932.0ms

simplify68.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series19.0ms

simplify36.0ms

prune66.0ms

localize5.0ms

rewrite20.0ms

series15.0ms

simplify60.0ms

prune120.0ms

localize6.0ms

rewrite66.0ms

series25.0ms

simplify80.0ms

prune324.0ms

localize5.0ms

rewrite9.0ms

series11.0ms

simplify78.0ms

prune32.0ms

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling