Details

analyze48.0ms

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

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	5421	11

prune9.0ms

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) 2.0)
8.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 54

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (* x y) 2.0)
14.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	666

prune80.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (+ 1.0 (* y (/ x 2.0))))
8.1b	(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

5.0ms	(/ 1 (+ 1.0 (* y (/ x 2.0))))
10.0ms	(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

series21.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ 1 (+ 1.0 (* y (/ x 2.0))))
11.0ms	(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4953	971
1	4953	971

prune96.0ms

Filtered

50 candidates to 77 candidates (-54.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

12.0ms	(+ (/ x 2.0) (/ 1.0 y))
14.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5148	732

prune71.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	13
1	75	13

end0.0ms

sample404.0ms

Algorithm

intervals

Results

269.0ms

8000×

body

valid

Details

analyze48.0ms

sample16.0ms

simplify197.0ms

prune9.0ms

localize7.0ms

rewrite12.0ms

series18.0ms

simplify43.0ms

prune80.0ms

localize8.0ms

rewrite17.0ms

series21.0ms

simplify76.0ms

prune96.0ms

localize7.0ms

rewrite27.0ms

series16.0ms

simplify46.0ms

prune71.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

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