Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

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))

rewrite29.0ms

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:

27.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (16.0ms)

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

prune71.0ms

Pruning

3 alts after pruning (3 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	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 274

Calls

4 calls:

23.0ms	(/ (+ x y) (- x y))
25.0ms	(/ (+ x y) (- x y))
23.0ms	(/ (+ x y) (- x y))
89.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (+ x y) (- x y))
68.0ms	(/ (+ x y) (- x y))
63.0ms	(/ (+ x y) (- x y))
150.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	352	2815
1	1244	2735
2	5002	2540

prune556.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
0.1b	(* (/ 1 (- x y)) (+ x y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-r` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*r/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 91

Calls

2 calls:

14.0ms	(/ 1 (- x y))
43.0ms	(* (/ 1 (- x y)) (+ x y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1 (- x y))
65.0ms	(* (/ 1 (- x y)) (+ x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	403	483
1	1918	419
2	5001	378

prune127.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
0.3b	(* (cbrt (+ x y)) (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (/ 1 (- x y)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
88×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
60×	`times-frac`
37×	`add-cube-cbrt`
31×	`associate-l`
30×	`associate-r`
27×	`cbrt-div`
12×	`unswap-sqr`
11×	`pow1` `add-exp-log`
10×	`frac-times` `distribute-lft-out--` `difference-of-squares`
7×	`pow1/3` `associate-*r/` `pow-prod-down` `distribute-lft-out`
6×	`associate-*l/` `associate-/r/`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `flip--` `div-inv`
2×	`*-commutative`

Counts

4 → 158

Calls

4 calls:

71.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
78.0ms	(* (cbrt (+ x y)) (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (/ 1 (- x y)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
148.0ms	(* (cbrt (+ x y)) (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))))
135.0ms	(cbrt (+ x y))
153.0ms	(cbrt (/ 1 (- x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	597	1711
1	1769	1646
2	5001	1603

prune473.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14

end0.0ms

sample295.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid