Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (13.0ms)

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

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

13.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms	(/ (+ x y) (- x y))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

series230.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
61.0ms	(/ (+ x y) (- x y))
75.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify62.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	482	1413
1	2128	1318
2	5001	1298

prune245.0ms

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

730×	`times-frac`
622×	`*-un-lft-identity`
450×	`add-sqr-sqrt`
312×	`add-cube-cbrt`
172×	`cbrt-prod`
166×	`unpow-prod-down` `cube-prod`
86×	`distribute-lft-out`
69×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
30×	`associate-/r*`
29×	`add-exp-log`
22×	`div-inv`
17×	`flip3-+` `add-cbrt-cube` `flip-+`
15×	`div-exp`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `pow-exp`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `pow-flip` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `inv-pow` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow1/3` `div-sub` `flip--` `rem-cbrt-cube`

Counts

4 → 550

Calls

4 calls:

11.0ms	(/ (- x y) (+ x y))
18.0ms	(/ 1 (/ (- x y) (+ x y)))
30.0ms	(cbrt (pow (/ 1 (/ (- x y) (+ x y))) 3))
25.0ms	(pow (/ 1 (/ (- x y) (+ x y))) 3)

series297.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- x y) (+ x y))
66.0ms	(/ 1 (/ (- x y) (+ x y)))
87.0ms	(cbrt (pow (/ 1 (/ (- x y) (+ x y))) 3))
77.0ms	(pow (/ 1 (/ (- x y) (+ x y))) 3)

simplify86.0ms

Algorithm

egg-herbie

Counts

562 → 562

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1409	5350
1	5002	4643

prune443.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

688×	`times-frac`
611×	`*-un-lft-identity`
439×	`add-sqr-sqrt`
301×	`add-cube-cbrt`
208×	`unpow-prod-down` `cube-prod`
179×	`cbrt-prod`
86×	`distribute-lft-out`
69×	`distribute-lft-out--` `difference-of-squares`
62×	`associate-/r*`
36×	`associate-/r/`
25×	`add-exp-log`
19×	`div-inv`
17×	`flip3-+` `flip-+`
13×	`div-exp`
11×	`add-cbrt-cube`
8×	`cube-mult` `unpow3` `pow-exp` `associate-/l*` `sqr-pow`
5×	`pow1`
4×	`pow-to-exp` `rec-exp` `1-exp` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`frac-2neg` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-div` `flip3--` `pow-flip` `pow-pow` `pow1/3` `div-sub` `flip--` `inv-pow`

Counts

4 → 567

Calls

4 calls:

11.0ms	(/ (- x y) (+ x y))
31.0ms	(/ 1 (pow (/ (- x y) (+ x y)) 3))
26.0ms	(cbrt (/ 1 (pow (/ (- x y) (+ x y)) 3)))
12.0ms	(pow (/ (- x y) (+ x y)) 3)

series319.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- x y) (+ x y))
86.0ms	(/ 1 (pow (/ (- x y) (+ x y)) 3))
89.0ms	(cbrt (/ 1 (pow (/ (- x y) (+ x y)) 3)))
78.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify131.0ms

Algorithm

egg-herbie

Counts

579 → 579

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	832	6696
1	4314	5338
2	5001	5326

prune462.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes28.0ms

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	13	6
1	13	6

end0.0ms

sample287.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid