Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

18.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (39.0ms)

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

prune73.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
81×	`times-frac`
48×	`add-cube-cbrt`
29×	`associate-r`
28×	`cbrt-prod`
23×	`pow1` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/l*`
12×	`cbrt-div` `associate-/r*`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `associate-*r/` `div-exp` `prod-exp` `clear-num` `pow-sqr` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 204

Calls

4 calls:

79.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))
10.0ms	(/ (- x y) (+ x y))
13.0ms	(/ (- x y) (+ x y))
10.0ms	(/ (- x y) (+ x y))

series283.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y))))
63.0ms	(/ (- x y) (+ x y))
66.0ms	(/ (- x y) (+ x y))
68.0ms	(/ (- x y) (+ x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	378	1733
1	1278	1574
2	5001	1482

prune603.0ms

Filtered

216 candidates to 135 candidates (62.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (- x y))
146.0ms	(cbrt (- x y))
142.0ms	(cbrt (+ x y))
129.0ms	(cbrt (+ x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	217	388
1	516	368
2	1664	358
3	5001	350

prune222.0ms

Filtered

70 candidates to 62 candidates (88.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (* y y) (* x y))
3.3b	(+ (pow x 3) (pow y 3))
9.3b	(/ (- x y) (+ (pow x 3) (pow y 3)))
32.8b	(* (/ (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

194×	`*-un-lft-identity`
91×	`times-frac`
79×	`add-sqr-sqrt`
60×	`distribute-lft-out`
51×	`associate-l`
48×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
12×	`sum-cubes`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

4 → 182

Calls

4 calls:

2.0ms	(- (* y y) (* x y))
13.0ms	(+ (pow x 3) (pow y 3))
31.0ms	(/ (- x y) (+ (pow x 3) (pow y 3)))
92.0ms	(* (/ (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y y) (* x y))
47.0ms	(+ (pow x 3) (pow y 3))
52.0ms	(/ (- x y) (+ (pow x 3) (pow y 3)))
112.0ms	(* (/ (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify87.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	686	1783
1	3052	1667
2	5001	1657

prune372.0ms

Filtered

194 candidates to 107 candidates (55.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes53.0ms

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

sample267.0ms

Algorithm

intervals

Results

150.0ms

8000×

body

valid