Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

266×

body

valid

simplify11.0ms

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 (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 → 1

localize6.0ms

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` `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))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	228	361
1	634	347
2	2142	347
3	5002	347

prune113.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0b

Counts

58 → 5

localize8.0ms

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))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

712×	`*-un-lft-identity`
702×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
412×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 571

Calls

3 calls:

43.0ms	(- (/ x (- z y)) (/ y (- z y)))
6.0ms	(/ y (- z y))
6.0ms	(/ x (- z y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (/ x (- z y)) (/ y (- z y)))
52.0ms	(/ y (- z y))
31.0ms	(/ x (- z y))

simplify208.0ms

Algorithm

egg-herbie

Counts

580 → 580

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	1209	15592
1	3240	11621
2	5002	10388

prune657.0ms

Filtered

580 candidates to 190 candidates (32.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	580	0	580
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	580	5	585

Merged error: 0b

Counts

585 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `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 → 95

Calls

2 calls:

10.0ms	(/ 1 (- z y))
14.0ms	(* (- x y) (/ 1 (- z y)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1 (- z y))
51.0ms	(* (- x y) (/ 1 (- z y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	303	501
1	1366	438
2	5001	396

prune147.0ms

Filtered

101 candidates to 58 candidates (57.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
84×	`times-frac`
65×	`sqrt-prod`
46×	`associate-r`
44×	`add-cube-cbrt`
29×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l` `associate-/l*`
6×	`sqrt-div` `unswap-sqr`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow1` `associate-/r/`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 151

Calls

2 calls:

9.0ms	(/ (sqrt (- x y)) (- z y))
25.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

series215.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(/ (sqrt (- x y)) (- z y))
58.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	382	1333
1	1503	1225
2	5001	1168

prune284.0ms

Filtered

157 candidates to 90 candidates (57.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	157	5	162

Merged error: 0b

Counts

162 → 5

regimes89.0ms

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

sample342.0ms

Algorithm

intervals

Results

178.0ms

8358×

body

valid