Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

25.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify43.0ms

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

prune80.0ms

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))))

rewrite183.0ms

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×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `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 → 282

Calls

4 calls:

26.0ms	(/ (+ x y) (- x y))
24.0ms	(/ (+ x y) (- x y))
26.0ms	(/ (+ x y) (- x y))
89.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ x y) (- x y))
59.0ms	(/ (+ x y) (- x y))
59.0ms	(/ (+ x y) (- x y))
127.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	361	2859
1	1268	2779
2	5001	2584

prune591.0ms

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))

rewrite62.0ms

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` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*r/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `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 → 95

Calls

2 calls:

12.0ms	(/ 1 (- x y))
46.0ms	(* (/ 1 (- x y)) (+ x y))

series94.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (- x y))
57.0ms	(* (/ 1 (- x y)) (+ x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	412	498
1	1980	433
2	5001	396

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
88×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
60×	`times-frac`
37×	`add-cube-cbrt`
36×	`associate-r`
27×	`cbrt-div`
25×	`associate-l`
12×	`unswap-sqr`
11×	`pow1` `add-exp-log`
10×	`frac-times` `distribute-lft-out--` `difference-of-squares`
7×	`pow1/3` `pow-prod-down` `associate-*l/` `distribute-lft-out`
6×	`associate-*r/` `associate-/r/`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--` `div-inv`
2×	`*-commutative`

Counts

4 → 166

Calls

4 calls:

73.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
95.0ms	(* (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (/ 1 (- x y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
126.0ms	(* (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (+ x y)))
120.0ms	(cbrt (+ x y))
139.0ms	(cbrt (/ 1 (- x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	638	1774
1	2133	1709
2	5002	1657

prune510.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample338.0ms

Algorithm

intervals

Results

154.0ms

8000×

body

valid