Details

sample141.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 97.521838%

Results

11.0ms	256×	body	80	valid
0.0ms	2×	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

prune7.0ms

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

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:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b	(/ y (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

7.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms	(/ y (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	782	1162
1	3616	1041
2	5001	1033

prune205.0ms

Filtered

112 candidates to 162 candidates (-44.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	162	10	172

Merged error: 0.0b

Counts

172 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
0.2b	(/ 1 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (/ y 3.0) (/ 1 (sqrt x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
61×	`times-frac`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
35×	`add-exp-log`
25×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
12×	`div-exp`
10×	`unswap-sqr`
9×	`prod-exp` `add-log-exp`
8×	`pow1` `frac-sub`
7×	`cbrt-undiv` `associate-/r*`
6×	`associate-/l*`
5×	`flip3--` `flip--` `cbrt-unprod`
4×	`div-inv`
3×	`frac-times` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `associate-l/` `un-div-inv`
2×	`sub-neg` `frac-2neg` `associate--l+` `clear-num`
1×	`associate--l-` `sqrt-pow1` `pow1/2` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 160

Calls

4 calls:

8.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
4.0ms	(/ 1 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
9.0ms	(/ 1 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	808	1213
1	3896	1081
2	5003	1031

prune191.0ms

Filtered

103 candidates to 172 candidates (-67.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	174	8	182

Merged error: 0.0b

Counts

182 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (/ y 3.0) (pow x -1/2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
4.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (/ y 3.0) (pow x -1/2))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
2.0ms	(/ 1.0 (* x 9.0))
9.0ms	(* (/ y 3.0) (pow x -1/2))

simplify59.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	553	671
1	2142	632
2	5002	628

prune158.0ms

Filtered

81 candidates to 108 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

regimes152.0ms

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	13	7
1	13	7

end0.0ms

sample678.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 97.521838%

Results

365.0ms	8000×	body	80	valid
2.0ms	49×	body	80	invalid

Details

sample141.0ms

simplify15.0ms

prune7.0ms

localize10.0ms

rewrite25.0ms

series23.0ms

simplify57.0ms

prune169.0ms

localize11.0ms

rewrite33.0ms

series28.0ms

simplify85.0ms

prune205.0ms

localize10.0ms

rewrite35.0ms

series28.0ms

simplify85.0ms

prune191.0ms

localize15.0ms

rewrite30.0ms

series23.0ms

simplify59.0ms

prune158.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample678.0ms

Profiling