Details

analyze51.0ms

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

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify177.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune8.0ms

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

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))))
0.2b	(/ (* x y) 2.0)
6.7b	(/ 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 → 80

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
10.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
8.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(/ (* x y) 2.0)
16.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5072	1098

prune104.0ms

Filtered

71 candidates to 92 candidates (-29.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Merged error: 0b

Counts

94 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

13.0ms	(+ (/ x 2.0) (/ 1.0 y))
17.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
13.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (/ x 2.0) (/ 1.0 y))
7.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
9.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5077	944

prune84.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ y (+ 1.0 (* y (/ x 2.0))))
6.7b	(/ y (+ 1.0 (* y (/ x 2.0))))
6.7b	(/ y (+ 1.0 (* y (/ x 2.0))))
19.9b	(/ (- (* x x) (* (/ y (+ 1.0 (* y (/ x 2.0)))) (/ y (+ 1.0 (* y (/ x 2.0)))))) (+ x (/ y (+ 1.0 (* y (/ x 2.0))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
43×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r` `associate-/l`
12×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
5×	`distribute-lft-out` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
5.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
4.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
13.0ms	(/ (- (* x x) (* (/ y (+ 1.0 (* y (/ x 2.0)))) (/ y (+ 1.0 (* y (/ x 2.0)))))) (+ x (/ y (+ 1.0 (* y (/ x 2.0))))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
14.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
12.0ms	(/ y (+ 1.0 (* y (/ x 2.0))))
19.0ms	(/ (- (* x x) (* (/ y (+ 1.0 (* y (/ x 2.0)))) (/ y (+ 1.0 (* y (/ x 2.0)))))) (+ x (/ y (+ 1.0 (* y (/ x 2.0))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	2791

prune255.0ms

Filtered

116 candidates to 140 candidates (-20.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Merged error: 0b

Counts

143 → 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 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms

sample389.0ms

Algorithm

intervals

Results

264.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

analyze51.0ms

sample15.0ms

simplify177.0ms

prune8.0ms

localize7.0ms

rewrite27.0ms

series33.0ms

simplify41.0ms

prune104.0ms

localize7.0ms

rewrite45.0ms

series20.0ms

simplify43.0ms

prune84.0ms

localize11.0ms

rewrite30.0ms

series56.0ms

simplify56.0ms

prune255.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample389.0ms

Profiling