Details

analyze54.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample31.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify175.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (173.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
8.8b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
11.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify28.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5150	667

prune68.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (/ 1.0 y))
0.1b	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`pow1` `flip3-+` `frac-add` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

11.0ms	(+ (/ x 2.0) (/ 1.0 y))
16.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (/ 1.0 y))
9.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5021	732

prune72.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* y (/ x 2.0)))
0.2b	(pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3)
8.8b	(/ y (+ 1.0 (* y (/ x 2.0))))
39.9b	(cbrt (pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 136

Calls

4 calls:

3.0ms	(+ 1.0 (* y (/ x 2.0)))
8.0ms	(pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3)
4.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
6.0ms	(cbrt (pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3))

series53.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (* y (/ x 2.0)))
21.0ms	(pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3)
11.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
16.0ms	(cbrt (pow (/ y (+ 1.0 (* y (/ x 2.0)))) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5452	2360

prune168.0ms

Filtered

86 candidates to 148 candidates (-72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Merged error: 0b

Counts

151 → 3

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms

sample771.0ms

Algorithm

intervals

Results

248.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid

Details

analyze54.0ms

sample31.0ms

simplify175.0ms

prune12.0ms

localize8.0ms

rewrite12.0ms

series16.0ms

simplify28.0ms

prune68.0ms

localize9.0ms

rewrite30.0ms

series13.0ms

simplify42.0ms

prune72.0ms

localize11.0ms

rewrite26.0ms

series53.0ms

simplify41.0ms

prune168.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample771.0ms

Profiling