Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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

Counts

1 → 47

Calls

1 calls:

24.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	174	296
1	526	282
2	1532	278
3	5001	278

prune77.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `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 → 191

Calls

3 calls:

26.0ms	(/ (+ x y) (- x y))
20.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
21.0ms	(pow (/ (+ x y) (- x y)) 3)

series202.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (+ x y) (- x y))
80.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
67.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	493	1433
1	2148	1337
2	5001	1319

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
1.4b	(log1p (/ (+ x y) (- x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/l*`
3×	`pow1` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 69

Calls

3 calls:

0.0ms	(expm1 (log1p (/ (+ x y) (- x y))))
24.0ms	(/ (+ x y) (- x y))
0.0ms	(log1p (/ (+ x y) (- x y)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(expm1 (log1p (/ (+ x y) (- x y))))
59.0ms	(/ (+ x y) (- x y))
88.0ms	(log1p (/ (+ x y) (- x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	216	424
1	596	394
2	1789	390
3	5001	388

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

316×	`*-un-lft-identity`
191×	`times-frac`
188×	`sqrt-prod`
187×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
55×	`distribute-lft-out`
53×	`swap-sqr`
46×	`distribute-lft-out--`
34×	`difference-of-squares`
29×	`associate-r` `associate-l`
20×	`pow1`
14×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
8×	`associate-/l*`
7×	`flip3--` `flip--` `div-inv`
5×	`sqrt-div` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

17.0ms	(sqrt (/ (+ x y) (- x y)))
97.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
24.0ms	(/ (+ x y) (- x y))
23.0ms	(/ (+ x y) (- x y))

series355.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (/ (+ x y) (- x y)))
69.0ms	(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
63.0ms	(/ (+ x y) (- x y))
58.0ms	(/ (+ x y) (- x y))

simplify78.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	371	2102
1	1683	1985
2	5003	1945

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample315.0ms

Algorithm

intervals

Results

145.0ms

8000×

body

valid