Details

analyze70.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 52.881131%

Guaranteed chance to sample good point: 98.350049%

sample23.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	528	590
1	2266	548
2	5001	546

prune169.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

34.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ (/ y 3.0) (sqrt x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (/ y 3.0) (sqrt x))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	764	1441
1	2994	1367
2	5001	1367

prune221.0ms

Filtered

112 candidates to 167 candidates (-49.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	169	8	177

Merged error: 0.0b

Counts

177 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
0.3b	(/ (sqrt x) (/ y 3.0))
0.3b	(/ 1.0 (* x 9.0))
0.4b	(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

943×	`times-frac`
482×	`add-sqr-sqrt`
456×	`*-un-lft-identity`
443×	`add-cube-cbrt`
202×	`sqrt-prod`
97×	`associate-/r*`
40×	`div-inv`
35×	`add-exp-log`
23×	`add-cbrt-cube`
20×	`div-exp`
12×	`associate-/l*`
11×	`cbrt-undiv` `difference-of-squares`
9×	`add-log-exp`
6×	`associate-/r/` `distribute-lft-out--`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num`
2×	`sub-neg` `flip3--` `associate--l+` `frac-sub` `flip--`
1×	`associate--l-` `pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 526

Calls

4 calls:

88.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
7.0ms	(/ (sqrt x) (/ y 3.0))
7.0ms	(/ 1.0 (* x 9.0))
19.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
13.0ms	(/ (sqrt x) (/ y 3.0))
2.0ms	(/ 1.0 (* x 9.0))
12.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

538 → 538

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1779	5789
1	5002	4944

prune461.0ms

Filtered

231 candidates to 538 candidates (-132.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	537	1	538
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	538	8	546

Merged error: 0.0b

Counts

546 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (/ (sqrt x) y)) 3.0)
0.3b	(/ (sqrt x) y)
0.3b	(/ 1.0 (* x 9.0))
0.4b	(/ 1 (/ (sqrt x) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

852×	`times-frac`
416×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
83×	`associate-/l*`
41×	`add-exp-log`
29×	`associate-/r*`
25×	`add-cbrt-cube`
24×	`div-exp` `div-inv`
12×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `prod-exp` `cbrt-unprod` `associate-/l/` `inv-pow`

Counts

4 → 480

Calls

4 calls:

20.0ms	(/ (/ 1 (/ (sqrt x) y)) 3.0)
4.0ms	(/ (sqrt x) y)
4.0ms	(/ 1.0 (* x 9.0))
11.0ms	(/ 1 (/ (sqrt x) y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (/ 1 (/ (sqrt x) y)) 3.0)
10.0ms	(/ (sqrt x) y)
2.0ms	(/ 1.0 (* x 9.0))
16.0ms	(/ 1 (/ (sqrt x) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

492 → 492

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1660	4830
1	5001	4289

prune560.0ms

Filtered

275 candidates to 492 candidates (-78.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	492	8	500

Merged error: 0.0b

Counts

500 → 8

regimes111.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

analyze72.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 52.881131%

Guaranteed chance to sample good point: 98.350049%

sample495.0ms

Algorithm

intervals

Results

358.0ms	8000×	body	80	valid
2.0ms	44×	body	80	invalid

Details

analyze70.0ms

sample23.0ms

simplify15.0ms

prune3.0ms

localize10.0ms

rewrite25.0ms

series24.0ms

simplify56.0ms

prune169.0ms

localize10.0ms

rewrite55.0ms

series20.0ms

simplify71.0ms

prune221.0ms

localize11.0ms

rewrite164.0ms

series36.0ms

simplify96.0ms

prune461.0ms

localize11.0ms

rewrite72.0ms

series40.0ms

simplify85.0ms

prune560.0ms

regimes111.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze72.0ms

sample495.0ms

Profiling