Details

analyze70.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample31.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))
0.5b	(/ 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))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
11.0ms	(/ 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

prune248.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

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)

series22.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (- 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)

simplify75.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (16.0ms)

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

prune239.0ms

Filtered

113 candidates to 146 candidates (-29.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	145	9	154

Merged error: 0b

Counts

154 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1 (* 3.0 (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

8.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
5.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1 (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1 (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	535	524
1	2599	447
2	5001	437

prune145.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Merged error: 0b

Counts

124 → 8

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	(* (/ y 3.0) (/ 1 (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
6.0ms	(/ 1 (sqrt x))
11.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	808	1213
1	3896	1081
2	5001	1031

prune199.0ms

Filtered

102 candidates to 172 candidates (-68.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	172	8	180

Merged error: 0b

Counts

180 → 8

regimes120.0ms

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	15	7
1	15	7

end0.0ms

analyze40.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample471.0ms

Algorithm

intervals

Results

342.0ms	8000×	body	80	valid
3.0ms	75×	body	80	invalid

Details

analyze70.0ms

sample31.0ms

simplify21.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series25.0ms

simplify56.0ms

prune248.0ms

localize9.0ms

rewrite41.0ms

series22.0ms

simplify75.0ms

prune239.0ms

localize10.0ms

rewrite27.0ms

series22.0ms

simplify65.0ms

prune145.0ms

localize10.0ms

rewrite35.0ms

series28.0ms

simplify85.0ms

prune199.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze40.0ms

sample471.0ms

Profiling