Details

analyze40.0ms

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune4.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ y x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

6.0ms

(/ x (+ y x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (+ y x))

simplify49.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5057	287

prune34.0ms

Filtered

26 candidates to 36 candidates (-38.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
6.0b	(sqrt (/ x (+ x y)))
6.0b	(sqrt (/ x (+ x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

134×	`sqrt-prod`
131×	`*-un-lft-identity`
104×	`times-frac`
103×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
29×	`swap-sqr`
28×	`distribute-lft-out`
21×	`pow1` `associate-r` `associate-l`
14×	`associate-/r/`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `associate-/r*` `add-log-exp`
3×	`pow-prod-down` `pow-sqr` `associate-/l*`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 201

Calls

4 calls:

5.0ms	(/ x (+ x y))
19.0ms	(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
5.0ms	(sqrt (/ x (+ x y)))
5.0ms	(sqrt (/ x (+ x y)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ x y))
5.0ms	(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
8.0ms	(sqrt (/ x (+ x y)))
11.0ms	(sqrt (/ x (+ x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	1994
1	4960	1994

prune148.0ms

Filtered

133 candidates to 213 candidates (-60.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	212	3	215

Merged error: 0b

Counts

215 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (/ x (+ x y))))
6.0b	(sqrt (/ x (+ x y)))
6.0b	(sqrt (/ x (+ x y)))
6.0b	(sqrt (/ x (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
61×	`*-un-lft-identity`
51×	`times-frac`
46×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
21×	`cbrt-prod`
12×	`distribute-lft-out`
8×	`associate-/r/`
7×	`pow1`
6×	`rem-sqrt-square`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

6.0ms	(cbrt (sqrt (/ x (+ x y))))
5.0ms	(sqrt (/ x (+ x y)))
5.0ms	(sqrt (/ x (+ x y)))
5.0ms	(sqrt (/ x (+ x y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (sqrt (/ x (+ x y))))
8.0ms	(sqrt (/ x (+ x y)))
8.0ms	(sqrt (/ x (+ x y)))
8.0ms	(sqrt (/ x (+ x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5112	1275

prune152.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes104.0ms

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	5	5
1	5	5

end0.0ms

sample271.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

valid

Details

analyze40.0ms

sample11.0ms

simplify3.0ms

prune4.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify49.0ms

prune34.0ms

localize6.0ms

rewrite43.0ms

series29.0ms

simplify62.0ms

prune148.0ms

localize13.0ms

rewrite25.0ms

series47.0ms

simplify55.0ms

prune152.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample271.0ms

Profiling