Details

analyze36.0ms

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
37.5%	62.4%	0.1%	5
59.3%	40.6%	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

sample25.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

8.0ms

(/ (- x y) (+ x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (- x y) (+ x y))

simplify32.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5063	538

prune48.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(/ x (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 93

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
22.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
14.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5553	1018

prune76.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(exp (/ x (+ x y)))
0.0b	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
1.9b	(log (exp (/ x (+ x y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-sqr-sqrt` `exp-prod`
31×	`add-cube-cbrt`
20×	`log-pow`
10×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`associate-/r*`
3×	`flip3-+` `associate--l+` `flip-+` `div-inv` `associate-/l*`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 107

Calls

4 calls:

5.0ms	(/ x (+ x y))
6.0ms	(exp (/ x (+ x y)))
31.0ms	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
7.0ms	(log (exp (/ x (+ x y))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ x y))
9.0ms	(exp (/ x (+ x y)))
12.0ms	(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
5.0ms	(log (exp (/ x (+ x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5598	1000

prune106.0ms

Filtered

89 candidates to 119 candidates (-33.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes94.0ms

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	24	11
1	24	11

end0.0ms

sample299.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid

Details

analyze36.0ms

sample25.0ms

simplify42.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify32.0ms

prune48.0ms

localize5.0ms

rewrite35.0ms

series24.0ms

simplify41.0ms

prune76.0ms

localize9.0ms

rewrite52.0ms

series31.0ms

simplify49.0ms

prune106.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample299.0ms

Profiling