Details

sample89.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 52.881131%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

11.0ms	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

localize9.0ms

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:

9.0ms	(- (- 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))

series26.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 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))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

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

prune167.0ms

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

localize9.0ms

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)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

19.0ms	(- (- 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))
6.0ms	(/ (/ 1.0 x) 9.0)

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

simplify78.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	752	956
1	3127	906
2	5002	906

prune232.0ms

Filtered

114 candidates to 146 candidates (-28.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	145	11	156

Merged error: 0.0b

Counts

156 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

1560×	`times-frac`
739×	`add-sqr-sqrt`
735×	`add-cube-cbrt` `*-un-lft-identity`
568×	`sqrt-prod`
98×	`associate-/l*`
59×	`div-inv`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 752

Calls

4 calls:

27.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
7.0ms	(/ (/ 1.0 x) (sqrt 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series30.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
6.0ms	(/ (/ 1.0 x) (sqrt 9.0))
9.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

simplify137.0ms

Algorithm

egg-herbie

Counts

764 → 764

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	2074	9543
1	5001	8648

prune1.2s

Filtered

319 candidates to 764 candidates (-139.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	763	1	764
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	764	11	775

Merged error: 0.0b

Counts

775 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

8.0ms	(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
5.0ms	(/ 1.0 (* (sqrt 9.0) x))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series33.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (/ 1.0 (* (sqrt 9.0) x)) (sqrt 9.0))
6.0ms	(/ 1.0 (* (sqrt 9.0) x))
9.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(* 3.0 (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	605	1028
1	2786	927
2	5001	908

prune232.0ms

Filtered

99 candidates to 148 candidates (-49.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	148	11	159

Merged error: 0.0b

Counts

159 → 11

regimes130.0ms

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	16	10
1	16	10

end0.0ms

sample557.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 52.881131%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

356.0ms	8000×	body	80	valid
2.0ms	43×	body	80	invalid

Details

sample89.0ms

simplify15.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series26.0ms

simplify59.0ms

prune167.0ms

localize9.0ms

rewrite41.0ms

series23.0ms

simplify78.0ms

prune232.0ms

localize12.0ms

rewrite116.0ms

series30.0ms

simplify137.0ms

prune1.2s

localize11.0ms

rewrite28.0ms

series33.0ms

simplify68.0ms

prune232.0ms

regimes130.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample557.0ms

Profiling