Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

303×

body

valid

simplify38.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
9.0ms	(* x (- y 1.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (* x (- y 1.0)) (* y 0.5))
32.0ms	(* x (- y 1.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2659	196
3	5002	196

prune81.0ms

Filtered

48 candidates to 29 candidates (60.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`associate-+r+` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `sub-neg` `*-un-lft-identity` `flip3-+` `diff-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

8.0ms

(+ (* x y) (- (* (- 1.0) x) (* y 0.5)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (* x y) (- (* (- 1.0) x) (* y 0.5)))

simplify49.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	115	153
1	367	127
2	1793	124
3	5002	124

prune35.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* x (- y 1.0)) 3)
2.1b	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
2.8b	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
37.6b	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
21×	`sqr-pow`
20×	`difference-of-squares`
19×	`add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`add-log-exp`
7×	`pow1`
5×	`difference-cubes` `distribute-lft-out--`
3×	`pow-unpow` `flip3--` `associate-/r*` `flip--`
2×	`cube-div` `associate-+l+` `pow-pow` `flip3-+` `associate-*r/` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv`

Counts

4 → 111

Calls

4 calls:

4.0ms	(pow (* x (- y 1.0)) 3)
9.0ms	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
20.0ms	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
57.0ms	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (* x (- y 1.0)) 3)
124.0ms	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
54.0ms	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
164.0ms	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

simplify101.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	607	2334
1	2761	2175
2	5002	2158

prune368.0ms

Filtered

123 candidates to 97 candidates (78.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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	13	5
1	13	5

end0.0ms

sample384.0ms

Algorithm

intervals

Results

230.0ms	9140×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid