Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

10.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
44.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ y (+ x y))
42.0ms	(/ x (+ x y))
73.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	260	536
1	791	515
2	2132	515
3	5001	515

prune181.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(+ (/ x (+ x y)) (/ y (+ x y)))
0.1b	(* (/ y (+ x y)) (/ y (+ x y)))
0.1b	(* (/ x (+ x y)) (/ x (+ x y)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
152×	`times-frac`
111×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
51×	`distribute-lft-out`
48×	`swap-sqr`
36×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/r/`
18×	`pow1`
12×	`flip3-+` `flip-+`
11×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
4×	`associate-/r*`
3×	`distribute-rgt-out` `associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `frac-2neg` `frac-add` `clear-num` `sum-log`

Counts

4 → 231

Calls

4 calls:

5.0ms	(/ x (+ x y))
41.0ms	(+ (/ x (+ x y)) (/ y (+ x y)))
30.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
33.0ms	(* (/ x (+ x y)) (/ x (+ x y)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ x (+ x y))
38.0ms	(+ (/ x (+ x y)) (/ y (+ x y)))
65.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
67.0ms	(* (/ x (+ x y)) (/ x (+ x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	807	1715
1	4226	1540
2	5001	1506

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (exp (/ x (+ x y)))) (/ y (+ x y)))
0.1b	(* (/ y (+ x y)) (/ y (+ x y)))
0.1b	(* (/ x (+ x y)) (/ x (+ x y)))
2.3b	(log (exp (/ x (+ x y))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

179×	`*-un-lft-identity`
140×	`times-frac`
110×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
48×	`swap-sqr`
41×	`distribute-lft-out`
36×	`associate-r` `associate-l`
28×	`add-exp-log` `add-cbrt-cube`
20×	`pow1` `log-pow`
18×	`exp-prod` `associate-/r/`
10×	`flip3-+` `flip-+`
9×	`div-inv`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`log-prod`
5×	`add-log-exp`
3×	`associate-+l+`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 222

Calls

4 calls:

88.0ms	(+ (log (exp (/ x (+ x y)))) (/ y (+ x y)))
31.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
29.0ms	(* (/ x (+ x y)) (/ x (+ x y)))
12.0ms	(log (exp (/ x (+ x y))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (log (exp (/ x (+ x y)))) (/ y (+ x y)))
58.0ms	(* (/ y (+ x y)) (/ y (+ x y)))
62.0ms	(* (/ x (+ x y)) (/ x (+ x y)))
41.0ms	(log (exp (/ x (+ x y))))

simplify99.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	839	1711
1	4224	1492
2	5001	1455

prune500.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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	12	17
1	12	17

end0.0ms

sample401.0ms

Algorithm

intervals

Results

272.0ms

8000×

body

valid