Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune6.0ms

Filtered

1 candidates to 1 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: 21.9b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
22.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `associate-l/` `associate-/r/` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 47

Calls

2 calls:

6.0ms	(+ (* x x) (* y y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) (* y y))
58.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	322	380
1	1875	324
2	5001	308

prune115.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Merged error: 0.2b

Counts

55 → 5

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 0.2b

Counts

5 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
0.0b	(/ (hypot x y) (+ x y))
0.0b	(/ (- x y) (/ (hypot x y) (+ x y)))
21.8b	(sqrt (+ (* x x) (* y y)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

1794×	`times-frac`
1230×	`*-un-lft-identity`
977×	`add-sqr-sqrt`
686×	`add-cube-cbrt`
291×	`sqrt-prod`
145×	`distribute-lft-out--` `difference-of-squares`
127×	`distribute-lft-out`
103×	`associate-/l*`
94×	`associate-/r/`
51×	`div-inv`
44×	`flip3-+` `flip-+`
28×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--` `hypot-def`

Counts

4 → 879

Calls

4 calls:

39.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
6.0ms	(/ (hypot x y) (+ x y))
12.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
87.0ms	(/ (hypot x y) (+ x y))
90.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
37.0ms	(sqrt (+ (* x x) (* y y)))

simplify199.0ms

Algorithm

egg-herbie

Counts

891 → 891

Iterations

Useful iterations: 1 (60.0ms)

Iter	Nodes	Cost
0	2272	16142
1	5001	14529

prune1.5s

Filtered

891 candidates to 458 candidates (51.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	890	1	891
Fresh	1	2	3
Picked	1	0	1
Done	1	0	1
Total	893	3	896

Merged error: 0b

Counts

896 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (hypot x y))
0.0b	(/ (hypot x y) (+ x y))
0.0b	(/ (- x y) (/ (hypot x y) (+ x y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

1059×	`times-frac`
758×	`*-un-lft-identity`
594×	`add-sqr-sqrt`
412×	`add-cube-cbrt`
103×	`associate-/l*`
91×	`distribute-lft-out--` `difference-of-squares`
82×	`distribute-lft-out`
59×	`associate-/r/`
33×	`div-inv`
27×	`flip3-+` `flip-+`
25×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`hypot-udef` `flip3--` `flip--`

Counts

4 → 581

Calls

4 calls:

1.0ms	(hypot x y)
26.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (hypot x y))
5.0ms	(/ (hypot x y) (+ x y))
12.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(hypot x y)
88.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (hypot x y))
87.0ms	(/ (hypot x y) (+ x y))
87.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1757	8234
1	5001	7937

prune1.0s

Filtered

593 candidates to 387 candidates (65.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	593	0	593
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	593	3	596

Merged error: 0b

Counts

596 → 3

regimes31.0ms

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	9	7
1	9	7

end0.0ms

sample607.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
149.0ms	8000×	pre	80	true