Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune7.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ (* x y) x) y)
5.0ms	(+ (* x y) x)

simplify28.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5115	268

prune32.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (+ y (* x y))))
0.0b	(+ y (* x y))
0.0b	(+ y (* x y))
0.3b	(* (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`add-log-exp`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `distribute-rgt-out` `associate-r/` `associate-l/` `distribute-rgt1-in` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

4.0ms	(sqrt (+ x (+ y (* x y))))
3.0ms	(+ y (* x y))
3.0ms	(+ y (* x y))
15.0ms	(* (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ x (+ y (* x y))))
4.0ms	(+ y (* x y))
4.0ms	(+ y (* x y))
4.0ms	(* (sqrt (+ x (+ y (* x y)))) (sqrt (+ x (+ y (* x y)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5072	1210

prune85.0ms

Filtered

65 candidates to 116 candidates (-78.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* x y))
0.0b	(sqrt (+ x (* x y)))
0.0b	(sqrt (+ x (* x y)))
0.3b	(* (sqrt (+ x (* x y))) (sqrt (+ x (* x y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ x (* x y))
2.0ms	(sqrt (+ x (* x y)))
2.0ms	(sqrt (+ x (* x y)))
9.0ms	(* (sqrt (+ x (* x y))) (sqrt (+ x (* x y))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (* x y))
7.0ms	(sqrt (+ x (* x y)))
7.0ms	(sqrt (+ x (* x y)))
5.0ms	(* (sqrt (+ x (* x y))) (sqrt (+ x (* x y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5371	970

prune79.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes103.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample301.0ms

Algorithm

intervals

Results

173.0ms	7999×	body	80	valid
1.0ms	73×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze64.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize4.0ms

rewrite10.0ms

series8.0ms

simplify28.0ms

prune32.0ms

localize7.0ms

rewrite28.0ms

series22.0ms

simplify46.0ms

prune85.0ms

localize7.0ms

rewrite19.0ms

series23.0ms

simplify44.0ms

prune79.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample301.0ms

Profiling