Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 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:

8.0ms

(/ (- x y) (- 1.0 y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (- x y) (- 1.0 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	259	377
1	714	359
2	2580	358
3	5001	358

prune84.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
0.0b	(/ y (- 1.0 y))
0.0b	(/ x (- 1.0 y))

rewrite109.0ms

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:

40.0ms	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
5.0ms	(/ y (- 1.0 y))
5.0ms	(/ x (- 1.0 y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
33.0ms	(/ y (- 1.0 y))
33.0ms	(/ x (- 1.0 y))

simplify191.0ms

Algorithm

egg-herbie

Counts

580 → 580

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1304	15653
1	3687	11671
2	5001	11585

prune747.0ms

Filtered

580 candidates to 258 candidates (44.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	580	0	580
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	580	4	584

Merged error: 0b

Counts

584 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (fma y x x) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `associate--l+` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

4.0ms

(- (fma y x x) y)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (fma y x x) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	125	204
1	438	130
2	2590	121
3	5001	90

prune40.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sqrt (- x y)) (- 1.0 y))
0.2b	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- 1.0 y)))

rewrite39.0ms

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:

8.0ms	(/ (sqrt (- x y)) (- 1.0 y))
23.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- 1.0 y)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ (sqrt (- x y)) (- 1.0 y))
40.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) (- 1.0 y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	476	1382
1	1852	1259
2	5001	1199

prune245.0ms

Filtered

157 candidates to 93 candidates (59.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	157	4	161

Merged error: 0b

Counts

161 → 4

regimes47.0ms

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

sample273.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

valid