Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.8b

localize13.0ms

Local error

Found 1 expressions with local error:

17.9b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

13.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	279	306
1	1480	261
2	5001	254

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
0.0b	(/ (- x y) (/ (hypot x y) (+ x y)))
0.0b	(/ (hypot x y) (+ x y))
17.6b	(sqrt (+ (* x x) (* y y)))

rewrite161.0ms

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:

52.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
17.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
6.0ms	(/ (hypot x y) (+ x y))
6.0ms	(sqrt (+ (* x x) (* y y)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
86.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
90.0ms	(/ (hypot x y) (+ x y))
36.0ms	(sqrt (+ (* x x) (* y y)))

simplify184.0ms

Algorithm

egg-herbie

Counts

891 → 891

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2272	16142
1	5003	14529

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
603×	`*-un-lft-identity`
475×	`add-sqr-sqrt`
353×	`add-cube-cbrt`
64×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
27×	`associate-/l*`
25×	`associate-/r*`
21×	`flip3-+` `flip-+`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `flip--`

Counts

3 → 477

Calls

3 calls:

9.0ms	(/ (- x y) (hypot x y))
29.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
6.0ms	(/ (hypot x y) (+ x y))

series278.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (- x y) (hypot x y))
93.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
95.0ms	(/ (hypot x y) (+ x y))

simplify101.0ms

Algorithm

egg-herbie

Counts

486 → 486

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1827	7457
1	5001	7286

prune983.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

1734×	`times-frac`
1142×	`*-un-lft-identity`
900×	`add-sqr-sqrt`
670×	`add-cube-cbrt`
348×	`log-pow`
347×	`exp-prod`
121×	`distribute-lft-out`
115×	`distribute-lft-out--` `difference-of-squares`
82×	`associate-/r/`
80×	`div-inv`
40×	`flip3-+` `flip-+`
27×	`associate-/l*`
25×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`pow1` `div-sub`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `frac-2neg` `clear-num` `associate-/l/`
1×	`log-div` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 839

Calls

4 calls:

102.0ms	(log (exp (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))))
9.0ms	(/ (- x y) (hypot x y))
28.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
6.0ms	(/ (hypot x y) (+ x y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(log (exp (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))))
94.0ms	(/ (- x y) (hypot x y))
121.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
93.0ms	(/ (hypot x y) (+ x y))

simplify143.0ms

Algorithm

egg-herbie

Counts

851 → 851

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2342	11018
1	5001	10774

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes33.0ms

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	11	9
1	11	9

end0.0ms

sample476.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
107.0ms	8000×	pre	80	true