Details

analyze41.0ms

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

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	799	14
1	799	14

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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	(* 3.0 (sqrt x))
0.3b	(/ y (* 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` `clear-num` `associate-/r*` `frac-sub` `flip--` `div-inv` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `associate--l+` `*-commutative` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

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

series25.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4981	999
1	4981	999

prune161.0ms

Filtered

72 candidates to 95 candidates (-31.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	11	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite50.0ms

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` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/`

Counts

3 → 156

Calls

3 calls:

32.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series19.0ms

Counts

3 → 9

Calls

3 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))

simplify61.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4967	2300
1	4967	2300

prune209.0ms

Filtered

114 candidates to 165 candidates (-44.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	166	10	176

Merged error: 0.0b

Counts

176 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series24.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5048	793

prune110.0ms

Filtered

55 candidates to 71 candidates (-29.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	71	10	81

Merged error: 0.0b

Counts

81 → 10

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

rewrite38.0ms

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` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `associate--l+` `*-commutative` `associate-/l/` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

19.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series25.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
2.0ms	(/ (/ 1.0 x) 9.0)
8.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4970	1628
1	4970	1628

prune198.0ms

Filtered

113 candidates to 144 candidates (-27.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	145	9	154

Merged error: 0b

Counts

154 → 9

regimes110.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	44	12
1	44	12

end0.0ms

sample482.0ms

Algorithm

intervals

Results

354.0ms	8000×	body	80	valid
4.0ms	90×	body	80	invalid

Details

analyze41.0ms

sample23.0ms

simplify36.0ms

prune6.0ms

localize9.0ms

rewrite25.0ms

series25.0ms

simplify52.0ms

prune161.0ms

localize9.0ms

rewrite50.0ms

series19.0ms

simplify61.0ms

prune209.0ms

localize8.0ms

rewrite22.0ms

series24.0ms

simplify39.0ms

prune110.0ms

localize10.0ms

rewrite38.0ms

series25.0ms

simplify68.0ms

prune198.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample482.0ms

Profiling