Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

496×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* x 2.0) y))
0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def` `sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 32

Calls

2 calls:

4.0ms	(+ (* x x) (* (* x 2.0) y))
7.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* x x) (* (* x 2.0) y))
27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify49.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	204	251
1	1082	223
2	5002	196

prune100.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (fma x x (* (* x 2.0) y)) (* y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `fma-udef` `log1p-expm1-u`

Counts

1 → 17

Calls

1 calls:

4.0ms

(+ (fma x x (* (* x 2.0) y)) (* y y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify74.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	113	137
1	428	116
2	1776	104
3	5002	101

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (fma 2.0 x y) y))
0.0b	(* (fma 2.0 x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

4.0ms	(+ (* x x) (* (fma 2.0 x y) y))
4.0ms	(* (fma 2.0 x y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x x) (* (fma 2.0 x y) y))
51.0ms	(* (fma 2.0 x y) y)

simplify127.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	165	192
1	662	162
2	4080	156
3	5001	156

prune92.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma 2.0 x y) 3)
0.1b	(fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4))
3.9b	(fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6))
41.3b	(/ (fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `associate-/r` `associate-/l`
2×	`fma-udef`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

2.0ms	(pow (fma 2.0 x y) 3)
1.0ms	(fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4))
1.0ms	(fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6))
4.0ms	(/ (fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (fma 2.0 x y) 3)
103.0ms	(fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4))
122.0ms	(fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6))
103.0ms	(/ (fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)))

simplify64.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	342	1011
1	1408	912
2	5002	907

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample606.0ms

Algorithm

intervals

Results

380.0ms

14203×

body

valid