Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify70.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (- x y) (+ x y))
20.9b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
8.0ms	(* (- x y) (+ x y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x x) (* y y))
41.0ms	(* (- x y) (+ x y))
65.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	435	575
1	2499	504
2	5001	494

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (hypot x y) (+ x y))
0.0b	(/ (- x y) (/ (hypot x y) (+ x y)))
0.0b	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
20.1b	(sqrt (+ (* x x) (* y y)))

rewrite141.0ms

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:

5.0ms	(/ (hypot x y) (+ x y))
15.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
34.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
4.0ms	(sqrt (+ (* x x) (* y y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (hypot x y) (+ x y))
89.0ms	(/ (- x y) (/ (hypot x y) (+ x y)))
135.0ms	(/ (/ (- x y) (/ (hypot x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
36.0ms	(sqrt (+ (* x x) (* y y)))

simplify181.0ms

Algorithm

egg-herbie

Counts

891 → 891

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2272	16142
1	5001	14529

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
604×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`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-+`
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 → 487

Calls

4 calls:

1.0ms	(hypot x y)
21.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
5.0ms	(/ (hypot x y) (+ x y))
7.0ms	(/ (- x y) (hypot x y))

series335.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(hypot x y)
95.0ms	(/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y)))
98.0ms	(/ (hypot x y) (+ x y))
98.0ms	(/ (- x y) (hypot x y))

simplify105.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1834	7484
1	5001	7310

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

2535×	`times-frac`
1633×	`*-un-lft-identity`
1291×	`add-sqr-sqrt`
1041×	`cbrt-prod`
959×	`add-cube-cbrt`
171×	`distribute-lft-out`
166×	`distribute-lft-out--` `difference-of-squares`
117×	`associate-/r/`
115×	`div-inv`
57×	`flip3-+` `flip-+`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`

Counts

4 → 1114

Calls

4 calls:

6.0ms	(/ (- x y) (hypot x y))
26.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))
31.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))
26.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))

series756.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- x y) (hypot x y))
219.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))
218.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))
229.0ms	(cbrt (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ x y))))

simplify218.0ms

Algorithm

egg-herbie

Counts

1126 → 1126

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	2072	22784
1	5001	22560

prune3.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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

sample491.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true