Details

analyze137.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 52

Calls

1 calls:

7.0ms

(/ (- x y) (- z y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ (- x y) (- z y))

simplify54.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune47.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
25×	`add-cube-cbrt`
20×	`distribute-lft-out--`
14×	`difference-of-squares`
10×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 102

Calls

3 calls:

26.0ms	(- (/ x (- z y)) (/ y (- z y)))
5.0ms	(/ y (- z y))
7.0ms	(/ x (- z y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(- (/ x (- z y)) (/ y (- z y)))
5.0ms	(/ y (- z y))
7.0ms	(/ x (- z y))

simplify76.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4887	1147
1	4887	1147

prune91.0ms

Filtered

83 candidates to 111 candidates (-33.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.2b	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.0b	(sqrt (/ (- x y) (- z y)))
2.0b	(sqrt (/ (- x y) (- z y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

338×	`*-un-lft-identity`
288×	`add-sqr-sqrt`
248×	`sqrt-prod`
231×	`times-frac`
108×	`distribute-lft-out--`
94×	`add-cube-cbrt`
80×	`difference-of-squares`
60×	`swap-sqr`
34×	`associate-r` `associate-l`
21×	`pow1`
14×	`associate-/r/`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
7×	`div-inv`
6×	`sqrt-div`
5×	`associate-/r` `pow-prod-up` `associate-/l`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 303

Calls

4 calls:

8.0ms	(/ (- x y) (- z y))
37.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
9.0ms	(sqrt (/ (- x y) (- z y)))
8.0ms	(sqrt (/ (- x y) (- z y)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- x y) (- z y))
9.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
45.0ms	(sqrt (/ (- x y) (- z y)))
50.0ms	(sqrt (/ (- x y) (- z y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4978	4238
1	4978	4238

prune189.0ms

Filtered

180 candidates to 315 candidates (-75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	315	2	317

Merged error: 0b

Counts

317 → 2

regimes153.0ms

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	26	11
1	26	11

end0.0ms

sample350.0ms

Algorithm

intervals

Results

185.0ms	8000×	body	80	valid
5.0ms	226×	body	80	invalid

Details

analyze137.0ms

sample15.0ms

simplify49.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify54.0ms

prune47.0ms

localize6.0ms

rewrite43.0ms

series26.0ms

simplify76.0ms

prune91.0ms

localize7.0ms

rewrite81.0ms

series114.0ms

simplify82.0ms

prune189.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample350.0ms

Profiling