Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify8.0ms

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

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))

rewrite10.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

9.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	192	297
1	547	283
2	1899	283
3	5001	280

prune98.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

581×	`*-un-lft-identity`
484×	`times-frac`
331×	`add-sqr-sqrt`
324×	`prod-diff`
319×	`add-cube-cbrt`
123×	`distribute-lft-out`
82×	`associate-/r/`
41×	`flip3-+` `flip-+` `div-inv`
18×	`fma-neg`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 442

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
32.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (+ x y))
41.0ms	(/ x (+ x y))
81.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify134.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	927	10910
1	2600	7864
2	5001	6854

prune491.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.0b	(/ x (+ x y))
0.1b	(pow (/ x (+ x y)) 3)
13.5b	(cbrt (pow (/ x (+ x y)) 3))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

1281×	`*-un-lft-identity`
1067×	`times-frac`
852×	`cbrt-prod`
810×	`prod-diff`
786×	`add-sqr-sqrt`
749×	`add-cube-cbrt`
382×	`unpow-prod-down` `cube-prod`
265×	`distribute-lft-out`
176×	`associate-/r/`
88×	`flip3-+` `flip-+` `div-inv`
45×	`fma-neg`
23×	`sqr-pow`
21×	`cube-mult` `unpow3`
14×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 1032

Calls

4 calls:

71.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) 3)
11.0ms	(cbrt (pow (/ x (+ x y)) 3))

series249.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
46.0ms	(/ x (+ x y))
85.0ms	(pow (/ x (+ x y)) 3)
41.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify293.0ms

Algorithm

egg-herbie

Counts

1044 → 1044

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	1472	29338
1	4465	17429
2	5001	17413

prune765.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(pow (/ x (+ x y)) 3)
0.5b	(expm1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
13.5b	(cbrt (pow (/ x (+ x y)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
60×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv`
4×	`expm1-log1p-u` `associate-/r*` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `expm1-log1p` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 158

Calls

4 calls:

6.0ms	(/ x (+ x y))
8.0ms	(pow (/ x (+ x y)) 3)
1.0ms	(expm1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
8.0ms	(cbrt (pow (/ x (+ x y)) 3))

series295.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (+ x y))
85.0ms	(pow (/ x (+ x y)) 3)
115.0ms	(expm1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
47.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	424	936
1	1846	837
2	5001	829

prune341.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes26.0ms

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	9
1	12	9

end0.0ms

sample275.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

valid