Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

290×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
3×	`associate-l`
2×	`flip3--` `diff-log` `associate-*r/` `sum-log` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

10.0ms	(* x (- y 1.0))
24.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series83.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* x (- y 1.0))
28.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
25.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify95.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	262	366
1	880	336
2	3787	332
3	5002	332

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (* x (- 1.0))) (* y 0.5)) 0.918938533204673)
0.0b	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))
0.0b	(+ (* x y) (* x (- 1.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`sum-log`
5×	`*-un-lft-identity`
4×	`diff-log` `distribute-rgt-neg-out`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
2×	`+-commutative` `associate--l-` `sub-neg` `flip3-+` `unsub-neg` `associate--l+` `flip-+` `distribute-lft-out`
1×	`associate-+l-` `flip3--` `flip--`

Counts

3 → 48

Calls

3 calls:

51.0ms	(+ (- (+ (* x y) (* x (- 1.0))) (* y 0.5)) 0.918938533204673)
15.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))
3.0ms	(+ (* x y) (* x (- 1.0)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (- (+ (* x y) (* x (- 1.0))) (* y 0.5)) 0.918938533204673)
26.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))
41.0ms	(+ (* x y) (* x (- 1.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	257	416
1	1045	368
2	5001	352

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 0.918938533204673 (* 1.0 x)) (* y (- x 0.5)))
0.0b	(* y (- x 0.5))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`-un-lft-identity` `associate-r/`
5×	`sub-neg` `flip3--` `associate-r` `flip--`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+r+` `distribute-lft-in` `frac-add` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

10.0ms	(+ (- 0.918938533204673 (* 1.0 x)) (* y (- x 0.5)))
10.0ms	(* y (- x 0.5))

series53.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (- 0.918938533204673 (* 1.0 x)) (* y (- x 0.5)))
29.0ms	(* y (- x 0.5))

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	352	354
1	1571	334
2	5002	334

prune103.0ms

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 (pow (* x (- y 1.0)) 3)) (* y 0.5)) 0.918938533204673)
0.0b	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
0.1b	(pow (* x (- y 1.0)) 3)
37.1b	(cbrt (pow (* x (- y 1.0)) 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
8×	`cbrt-prod` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`cube-div` `associate-*r/`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `associate-+l+` `cbrt-div` `pow-pow` `diff-log` `unpow3` `cube-prod` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

37.0ms	(+ (- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5)) 0.918938533204673)
11.0ms	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
5.0ms	(pow (* x (- y 1.0)) 3)
2.0ms	(cbrt (pow (* x (- y 1.0)) 3))

series135.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5)) 0.918938533204673)
28.0ms	(- (cbrt (pow (* x (- y 1.0)) 3)) (* y 0.5))
48.0ms	(pow (* x (- y 1.0)) 3)
34.0ms	(cbrt (pow (* x (- y 1.0)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	531
1	1295	457
2	5001	448

prune178.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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	18	5
1	20	5
2	20	5

end0.0ms

sample369.0ms

Algorithm

intervals

Results

223.0ms	9151×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid