Details

analyze45.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify173.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (171.0ms)

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 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.7b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 47

Calls

2 calls:

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4936	797
1	4936	797

prune69.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

19.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
24.0ms	(+ (/ x 2.0) (/ 1.0 y))
14.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
5.0ms	(+ (/ x 2.0) (/ 1.0 y))
9.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sqrt (+ 1.0 (* y (/ x 2.0)))))
0.1b	(/ (/ y (sqrt (+ 1.0 (* y (/ x 2.0))))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
6.4b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
6.4b	(sqrt (+ 1.0 (* y (/ x 2.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
227×	`*-un-lft-identity`
191×	`sqrt-prod`
177×	`add-sqr-sqrt`
175×	`add-cube-cbrt`
27×	`associate-/l*`
26×	`distribute-lft-out`
24×	`sqrt-div`
20×	`associate-/r/`
13×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 288

Calls

4 calls:

5.0ms	(/ y (sqrt (+ 1.0 (* y (/ x 2.0)))))
15.0ms	(/ (/ y (sqrt (+ 1.0 (* y (/ x 2.0))))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
5.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.0ms	(sqrt (+ 1.0 (* y (/ x 2.0))))

series122.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ y (sqrt (+ 1.0 (* y (/ x 2.0)))))
12.0ms	(/ (/ y (sqrt (+ 1.0 (* y (/ x 2.0))))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
19.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
13.0ms	(sqrt (+ 1.0 (* y (/ x 2.0))))

simplify90.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5090	7633

prune385.0ms

Filtered

148 candidates to 300 candidates (-102.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	300	3	303

Merged error: 0b

Counts

303 → 3

regimes110.0ms

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

sample388.0ms

Algorithm

intervals

Results

259.0ms	7995×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze45.0ms

sample19.0ms

simplify173.0ms

prune8.0ms

localize7.0ms

rewrite17.0ms

series19.0ms

simplify40.0ms

prune69.0ms

localize7.0ms

rewrite59.0ms

series20.0ms

simplify45.0ms

prune84.0ms

localize15.0ms

rewrite43.0ms

series122.0ms

simplify90.0ms

prune385.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample388.0ms

Profiling