Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

291×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	11	3
2	13	3
3	13	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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (+ x y) (+ y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
15×	`distribute-rgt-out`
12×	`associate-/r*`
5×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
4×	`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 → 82

Calls

1 calls:

8.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify128.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	232	524
1	760	480
2	3170	480
3	5001	480

prune120.0ms

Filtered

85 candidates to 49 candidates (57.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (/ x y) 1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/2 (/ x y) 1/2)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma 1/2 (/ x y) 1/2)

simplify145.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	44
1	56	39
2	185	39
3	754	39
4	4801	39
5	5001	39

prune28.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (/ (+ x y) 2) (pow y 3))
17.8b	(- (* y y) (* y y))
31.1b	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
454×	`*-un-lft-identity`
332×	`add-sqr-sqrt`
304×	`add-cube-cbrt`
196×	`associate-l`
101×	`unpow-prod-down` `cube-prod`
77×	`distribute-lft-out`
37×	`add-exp-log`
35×	`sqr-pow`
33×	`cube-mult` `unpow3`
27×	`div-inv`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
12×	`associate-/r*`
9×	`unswap-sqr`
7×	`prod-exp`
6×	`cbrt-undiv`
5×	`pow1` `associate-r` `add-log-exp`
4×	`pow-to-exp` `pow-exp`
3×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
2×	`frac-times` `distribute-rgt-out--` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `+-inverses` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l/` `difference-of-squares`

Counts

3 → 499

Calls

3 calls:

13.0ms	(/ (/ (+ x y) 2) (pow y 3))
4.0ms	(- (* y y) (* y y))
50.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

series97.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (/ (+ x y) 2) (pow y 3))
1.0ms	(- (* y y) (* y y))
35.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

simplify99.0ms

Algorithm

egg-herbie

Counts

508 → 508

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	1876	4436
1	5003	4060

prune947.0ms

Filtered

508 candidates to 269 candidates (53.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	508	0	508
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	508	2	510

Merged error: 0b

Counts

510 → 2

regimes28.0ms

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	5	2

end0.0ms

sample315.0ms

Algorithm

intervals

Results

173.0ms

9111×

body

valid