Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

449×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 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))

rewrite18.0ms

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:

3.0ms	(+ (* x x) (* (* x 2.0) y))
15.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* x x) (* (* x 2.0) y))
26.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (37.0ms)

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

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite7.0ms

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:

3.0ms	(+ (* x x) (* (fma 2.0 x y) y))
3.0ms	(* (fma 2.0 x y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x x) (* (fma 2.0 x y) y))
44.0ms	(* (fma 2.0 x y) y)

simplify109.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (26.0ms)

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

prune91.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (fma 2.0 x y) y))
0.0b	(* (fma 2.0 x y) (fma 2.0 x y))
0.6b	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
28.6b	(/ (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`swap-sqr` `associate-r` `associate-l` `associate-/r` `fma-udef` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x x) (* (fma 2.0 x y) y))
3.0ms	(* (fma 2.0 x y) (fma 2.0 x y))
0.0ms	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
6.0ms	(/ (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* x x) (* (fma 2.0 x y) y))
23.0ms	(* (fma 2.0 x y) (fma 2.0 x y))
71.0ms	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
73.0ms	(/ (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	342	1009
1	1377	892
2	5002	866

prune285.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 2.0 x y) (fma 2.0 x y))
0.3b	(/ 1 (- (* x x) (* (fma 2.0 x y) y)))
0.6b	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
28.8b	(* (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (/ 1 (- (* x x) (* (fma 2.0 x y) y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
14×	`pow1`
13×	`add-cbrt-cube`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `associate-/r` `cbrt-unprod` `fma-udef` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`
1×	`pow2` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-plus` `associate-*r/` `clear-num` `pow-sqr` `un-div-inv` `pow-prod-up` `inv-pow`

Counts

4 → 114

Calls

4 calls:

3.0ms	(* (fma 2.0 x y) (fma 2.0 x y))
6.0ms	(/ 1 (- (* x x) (* (fma 2.0 x y) y)))
0.0ms	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
17.0ms	(* (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (/ 1 (- (* x x) (* (fma 2.0 x y) y))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (fma 2.0 x y) (fma 2.0 x y))
76.0ms	(/ 1 (- (* x x) (* (fma 2.0 x y) y)))
87.0ms	(fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4))
88.0ms	(* (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (/ 1 (- (* x x) (* (fma 2.0 x y) y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	409	1251
1	1849	1083
2	5003	1031

prune364.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

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	6
1	13	6

end0.0ms

sample640.0ms

Algorithm

intervals

Results

420.0ms

14360×

body

valid