Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune2.0ms

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))

rewrite13.0ms

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-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ 1 (/ (- x y) (+ x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

10.0ms	(/ (- x y) (+ x y))
15.0ms	(/ 1 (/ (- x y) (+ x y)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- x y) (+ x y))
67.0ms	(/ 1 (/ (- x y) (+ x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	486	1464
1	2198	1313
2	5001	1169

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(/ x (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))
0.0b	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
155×	`times-frac`
114×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
35×	`distribute-lft-out--`
28×	`associate-/r/` `distribute-lft-out`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

4 → 185

Calls

4 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
47.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
67.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (+ x y))
40.0ms	(/ x (+ x y))
77.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
84.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	431	1483
1	1638	1397
2	5001	1296

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x y)) (/ y (+ x y)))
0.0b	(/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
0.0b	(cbrt (/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3)))
0.0b	(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

552×	`*-un-lft-identity`
512×	`times-frac`
348×	`add-sqr-sqrt`
144×	`add-cube-cbrt`
136×	`unpow-prod-down` `cube-prod`
128×	`cbrt-prod`
119×	`distribute-lft-out--`
76×	`associate-/r/`
68×	`distribute-lft-out` `difference-of-squares`
51×	`distribute-rgt-out--`
40×	`associate-/r*`
36×	`div-inv`
34×	`flip3-+` `flip-+`
14×	`add-exp-log`
12×	`cube-div`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp` `add-log-exp`
5×	`pow1`
4×	`pow-to-exp` `flip3--` `pow-exp` `frac-sub` `flip--` `sub-div`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `cbrt-div` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `inv-pow` `rem-cube-cbrt`

Counts

4 → 409

Calls

4 calls:

45.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
138.0ms	(/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
76.0ms	(cbrt (/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3)))
71.0ms	(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

series342.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
93.0ms	(/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
81.0ms	(cbrt (/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3)))
93.0ms	(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

simplify104.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	687	5492
1	3133	4687
2	5003	4575

prune420.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes210.0ms

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	6	3
1	6	3

end0.0ms

sample271.0ms

Algorithm

intervals

Results

148.0ms

8000×

body

valid