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

Filtered

1 candidates to 0 candidates (0.0%)

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))

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))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (12.0ms)

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

prune76.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 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)

rewrite46.0ms

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))
11.0ms	(/ (+ x y) (- x y))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

series210.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
60.0ms	(/ (+ x y) (- x y))
69.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	482	1409
1	2128	1316
2	5002	1298

prune239.0ms

Filtered

194 candidates to 85 candidates (43.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series590.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
174.0ms	(cbrt (+ x y))
124.0ms	(cbrt (+ x y))
123.0ms	(cbrt (+ x y))

simplify139.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune279.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (* y y) (* x y))
2.6b	(+ (* x x) (+ (* y y) (* x y)))
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))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

287×	`add-sqr-sqrt`
258×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
66×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`difference-cubes`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`sum-log` `associate-/r/` `associate-/l*`
3×	`associate-r`
2×	`cbrt-undiv` `+-commutative` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `associate-+r+` `distribute-rgt-out` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 301

Calls

4 calls:

3.0ms	(+ (* y y) (* x y))
7.0ms	(+ (* x x) (+ (* y y) (* x y)))
36.0ms	(/ (+ x y) (- (pow x 3) (pow y 3)))
115.0ms	(* (/ (+ x y) (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* y y) (* x y))
18.0ms	(+ (* x x) (+ (* y y) (* x y)))
45.0ms	(/ (+ x y) (- (pow x 3) (pow y 3)))
108.0ms	(* (/ (+ x y) (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1011	3358
1	5002	3232

prune718.0ms

Filtered

313 candidates to 160 candidates (51.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes60.0ms

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	9	5
1	9	5

end0.0ms

sample279.0ms

Algorithm

intervals

Results

150.0ms

8000×

body

valid