Details

analyze139.0ms

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	8×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

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))

rewrite12.0ms

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))

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune55.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.2b	(pow (/ (- x y) (- z y)) 3)
20.2b	(cbrt (pow (/ (- x y) (- z y)) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt` `*-un-lft-identity`
125×	`times-frac`
68×	`cbrt-prod`
62×	`unpow-prod-down` `cube-prod`
61×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`associate-/r` `div-inv` `associate-/l`
4×	`pow1`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

3 → 212

Calls

3 calls:

8.0ms	(/ (- x y) (- z y))
10.0ms	(pow (/ (- x y) (- z y)) 3)
11.0ms	(cbrt (pow (/ (- x y) (- z y)) 3))

series48.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- x y) (- z y))
29.0ms	(pow (/ (- x y) (- z y)) 3)
10.0ms	(cbrt (pow (/ (- x y) (- z y)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5162	3052

prune140.0ms

Filtered

94 candidates to 221 candidates (-135.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	221	4	225

Merged error: 0b

Counts

225 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.1b	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
1.7b	(sqrt (/ (- x y) (- z y)))
1.7b	(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:

7.0ms	(/ (- x y) (- z y))
35.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
8.0ms	(sqrt (/ (- x y) (- z y)))
8.0ms	(sqrt (/ (- x y) (- z y)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- x y) (- z y))
9.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
47.0ms	(sqrt (/ (- x y) (- z y)))
43.0ms	(sqrt (/ (- x y) (- z y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4978	4238
1	4978	4238

prune193.0ms

Filtered

177 candidates to 315 candidates (-78.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	315	4	319

Merged error: 0b

Counts

319 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sqrt (- z y)))
0.2b	(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))
0.2b	(/ (- x y) (sqrt (- z y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

191×	`add-sqr-sqrt`
151×	`*-un-lft-identity`
150×	`times-frac`
101×	`sqrt-prod`
75×	`add-cube-cbrt`
46×	`associate-r`
35×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
30×	`associate-l`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`unswap-sqr`
11×	`div-exp`
8×	`sqrt-div` `prod-exp` `associate-/r/` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 240

Calls

3 calls:

9.0ms	(/ 1 (sqrt (- z y)))
36.0ms	(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))
8.0ms	(/ (- x y) (sqrt (- z y)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (sqrt (- z y)))
17.0ms	(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))
15.0ms	(/ (- x y) (sqrt (- z y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5549	3331

prune154.0ms

Filtered

134 candidates to 249 candidates (-85.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	249	4	253

Merged error: 0b

Counts

253 → 4

regimes187.0ms

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	18	7
1	18	7

end0.0ms

sample354.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
4.0ms	191×	body	80	invalid

Details

analyze139.0ms

sample15.0ms

simplify51.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series9.0ms

simplify53.0ms

prune55.0ms

localize8.0ms

rewrite39.0ms

series48.0ms

simplify63.0ms

prune140.0ms

localize9.0ms

rewrite81.0ms

series109.0ms

simplify90.0ms

prune193.0ms

localize8.0ms

rewrite64.0ms

series50.0ms

simplify67.0ms

prune154.0ms

regimes187.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample354.0ms

Profiling