Details

sample96.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	5

prune2.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
7.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ 1.0 (/ (* x y) 2.0))
12.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
7.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
3.0ms	(/ (* x y) 2.0)
11.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	378	589
1	1545	551
2	5001	545

prune113.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

16.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms	(/ (* x y) 2.0)
8.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
3.0ms	(/ (* x y) 2.0)
10.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify90.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	610	1496
1	2877	1271
2	5001	1268

prune143.0ms

Filtered

90 candidates to 173 candidates (-92.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
0.0b	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `associate-/l` `difference-of-squares`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `flip--` `inv-pow`

Counts

3 → 61

Calls

3 calls:

7.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
3.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
7.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
5.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
9.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	309	605
1	1221	547
2	5001	543

prune75.0ms

Filtered

43 candidates to 70 candidates (-62.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
0.1b	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
2.6b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
2.6b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
85×	`times-frac`
80×	`*-un-lft-identity`
59×	`sqrt-prod`
50×	`add-cube-cbrt`
30×	`add-exp-log`
27×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`distribute-lft-out`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 176

Calls

4 calls:

25.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
7.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
39.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
16.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
13.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	711	2246
1	3638	1983
2	5001	1822

prune246.0ms

Filtered

104 candidates to 188 candidates (-80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	188	3	191

Merged error: 0b

Counts

191 → 3

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample465.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

256.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

Details

sample96.0ms

simplify7.0ms

prune2.0ms

localize7.0ms

rewrite27.0ms

series26.0ms

simplify41.0ms

prune113.0ms

localize8.0ms

rewrite42.0ms

series27.0ms

simplify90.0ms

prune143.0ms

localize8.0ms

rewrite19.0ms

series20.0ms

simplify40.0ms

prune75.0ms

localize13.0ms

rewrite46.0ms

series78.0ms

simplify87.0ms

prune246.0ms

regimes68.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample465.0ms

Profiling