Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

264×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

9.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	226	361
1	631	347
2	2130	347
3	5001	347

prune75.0ms

Filtered

57 candidates to 39 candidates (31.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

818×	`*-un-lft-identity`
796×	`add-sqr-sqrt`
693×	`times-frac`
458×	`add-cube-cbrt`
441×	`prod-diff`
177×	`distribute-lft-out--`
167×	`difference-of-squares`
138×	`associate-/r*`
121×	`frac-sub`
94×	`associate-/r/`
72×	`associate-/l*`
48×	`flip3--` `flip--`
47×	`div-inv`
26×	`frac-2neg`
24×	`clear-num`
21×	`fma-neg`
13×	`sub-div`
7×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log`

Counts

3 → 703

Calls

3 calls:

6.0ms	(/ x (- z y))
6.0ms	(/ y (- z y))
50.0ms	(- (/ x (- z y)) (/ y (- z y)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (- z y))
51.0ms	(/ y (- z y))
79.0ms	(- (/ x (- z y)) (/ y (- z y)))

simplify195.0ms

Algorithm

egg-herbie

Counts

712 → 712

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	2136	17466
1	5001	13694

prune949.0ms

Filtered

712 candidates to 332 candidates (53.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	712	0	712
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	712	3	715

Merged error: 0b

Counts

715 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.6b	(/ 1 (/ (- z y) (- x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
203×	`*-un-lft-identity`
200×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
55×	`distribute-lft-out--`
54×	`difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
15×	`add-exp-log` `associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 221

Calls

2 calls:

9.0ms	(/ (- z y) (- x y))
14.0ms	(/ 1 (/ (- z y) (- x y)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z y) (- x y))
154.0ms	(/ 1 (/ (- z y) (- x y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	611	1854
1	2778	1680
2	5003	1506

prune196.0ms

Filtered

227 candidates to 102 candidates (55.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	227	3	230

Merged error: 0b

Counts

230 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sqrt (- x y)) (/ (- z y) (sqrt (- x y))))
0.1b	(/ (- z y) (sqrt (- x y)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

768×	`times-frac`
653×	`add-sqr-sqrt` `*-un-lft-identity`
495×	`sqrt-prod`
291×	`add-cube-cbrt`
181×	`distribute-lft-out--` `difference-of-squares`
62×	`associate-/r*`
38×	`associate-/r/`
22×	`sqrt-div`
18×	`associate-/l*`
13×	`flip3--` `flip--`
11×	`div-inv`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l/`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 530

Calls

2 calls:

30.0ms	(/ (sqrt (- x y)) (/ (- z y) (sqrt (- x y))))
11.0ms	(/ (- z y) (sqrt (- x y)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (sqrt (- x y)) (/ (- z y) (sqrt (- x y))))
99.0ms	(/ (- z y) (sqrt (- x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

536 → 536

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1128	7990
1	5001	7222

prune592.0ms

Filtered

536 candidates to 216 candidates (59.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	536	3	539

Merged error: 0b

Counts

539 → 3

regimes48.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample332.0ms

Algorithm

intervals

Results

166.0ms

8340×

body

valid