Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`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-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

7.0ms

(/ (+ x y) (+ y 1.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ (+ x y) (+ y 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	197	262
1	620	246
2	1970	245
3	5001	245

prune60.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.5b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
33×	`times-frac`
22×	`associate-l`
19×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out`
5×	`pow1` `flip3--` `associate-r` `flip--` `add-log-exp`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--`

Counts

3 → 130

Calls

3 calls:

7.0ms	(- (* y y) (* 1.0 1.0))
26.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
8.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* y y) (* 1.0 1.0))
68.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
89.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	595	1430
1	3028	1219
2	5001	1200

prune200.0ms

Filtered

139 candidates to 92 candidates (66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	139	3	142

Merged error: 0b

Counts

142 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (- (/ x y) (/ 1.0 y)))
0.0b	(- (/ x y) (/ 1.0 y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

487×	`times-frac`
389×	`*-un-lft-identity`
388×	`add-sqr-sqrt`
376×	`add-cube-cbrt`
338×	`prod-diff`
171×	`associate-+r+`
55×	`div-inv`
13×	`fma-neg`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 398

Calls

2 calls:

31.0ms	(+ 1 (- (/ x y) (/ 1.0 y)))
18.0ms	(- (/ x y) (/ 1.0 y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ 1 (- (/ x y) (/ 1.0 y)))
39.0ms	(- (/ x y) (/ 1.0 y))

simplify121.0ms

Algorithm

egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	1103	6981
1	3497	5149
2	5001	5092

prune758.0ms

Filtered

404 candidates to 261 candidates (64.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	404	0	404
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	404	3	407

Merged error: 0b

Counts

407 → 3

regimes40.0ms

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	8	3
1	8	3

end0.0ms

sample307.0ms

Algorithm

intervals

Results

176.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid