
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 13 to 12 computations (7.7% saved)
| 850.0ms | 8 256× | 0 | valid |
const: 265.0ms (45.7% of total)ival-mult: 123.0ms (21.2% of total)ival-sub: 110.0ms (19% of total)ival-add: 65.0ms (11.2% of total)exact: 8.0ms (1.4% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 1 376× | lower-fma.f64 |
| 1 376× | lower-fma.f32 |
| 670× | sub-neg |
| 472× | unsub-neg |
| 462× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 61 |
| 1 | 75 | 59 |
| 2 | 196 | 55 |
| 3 | 617 | 49 |
| 4 | 1512 | 45 |
| 5 | 2805 | 45 |
| 6 | 3394 | 45 |
| 7 | 3511 | 45 |
| 8 | 3531 | 45 |
| 9 | 3533 | 45 |
| 10 | 3535 | 45 |
| 11 | 3555 | 45 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 30 | 11 |
| 2 | 58 | 11 |
| 3 | 116 | 9 |
| 4 | 218 | 9 |
| 5 | 447 | 9 |
| 6 | 852 | 9 |
| 7 | 1252 | 9 |
| 8 | 1489 | 9 |
| 9 | 1510 | 9 |
| 0 | 1510 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 918938533204673/1000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 58.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 102 to 44 computations (56.9% saved)
const: 20.0ms (48.7% of total)ival-mult: 13.0ms (31.6% of total)ival-sub: 5.0ms (12.2% of total)ival-add: 2.0ms (4.9% of total)exact: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 1 376× | lower-fma.f64 |
| 1 376× | lower-fma.f32 |
| 352× | lower-+.f32 |
| 352× | lower--.f32 |
| 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 15 | 36 |
| 1 | 30 | 36 |
| 2 | 58 | 36 |
| 3 | 116 | 32 |
| 4 | 218 | 32 |
| 5 | 447 | 32 |
| 6 | 852 | 32 |
| 7 | 1252 | 32 |
| 8 | 1489 | 32 |
| 9 | 1510 | 32 |
| 0 | 1510 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 (*.f64 x y) x) |
x |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 19.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 38 to 12 computations (68.4% saved)
const: 4.0ms (34.9% of total)ival-mult: 3.0ms (26.2% of total)ival-sub: 3.0ms (26.2% of total)ival-add: 1.0ms (8.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))> |
#<alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))> |
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))> |
#<alt (-.f64 y #s(literal 1 binary64))> |
#<alt (*.f64 y #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* -1/2 y)> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | inf | (* x (- y 1)) |
| 1.0ms | y | @ | inf | (* y 1/2) |
| 1.0ms | y | @ | 0 | (- (* x (- y 1)) (* y 1/2)) |
| 0.0ms | x | @ | inf | (- (* x (- y 1)) (* y 1/2)) |
| 0.0ms | x | @ | 0 | (- (* x (- y 1)) (* y 1/2)) |
| 1× | egg-herbie |
| 11 900× | lower-fma.f64 |
| 11 900× | lower-fma.f32 |
| 3 162× | lower-*.f64 |
| 3 162× | lower-*.f32 |
| 1 298× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 593 |
| 1 | 232 | 592 |
| 2 | 695 | 520 |
| 3 | 1796 | 520 |
| 4 | 6373 | 520 |
| 0 | 8167 | 501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(* y (- x 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- (* x (- y 1)) (* 1/2 y)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(- (* x (- y 1)) (* 1/2 y)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(- (* x (- y 1)) (* 1/2 y)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(+ (* -1 x) (* y (- x 1/2))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(+ (* -1 x) (* y (- x 1/2))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(-.f64 (*.f64 y x) x) |
(+ (* -1 x) (* x y)) |
(-.f64 (*.f64 y x) x) |
(+ (* -1 x) (* x y)) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
| 7 498× | lower-fma.f64 |
| 7 498× | lower-fma.f32 |
| 4 788× | lower-*.f32 |
| 4 784× | lower-*.f64 |
| 3 354× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 69 | 31 |
| 2 | 520 | 31 |
| 3 | 7720 | 31 |
| 0 | 8249 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 x)) |
(-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))) |
(-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 x y (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 x y (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 y x (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 y x (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 x y (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 x y (neg.f64 x))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 x y (neg.f64 x))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x))) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (fma.f64 x y (neg.f64 x))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (fma.f64 x y (neg.f64 x))) |
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(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
Compiled 15 602 to 1 357 computations (91.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 6 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 473 | 6 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 48.2% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
| 100.0% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) | |
| ▶ | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ▶ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
Compiled 102 to 66 computations (35.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y x) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
| 1 376× | lower-fma.f32 |
| 1 370× | lower-fma.f64 |
| 352× | lower-+.f32 |
| 352× | lower--.f32 |
| 348× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 119 |
| 0 | 37 | 119 |
| 1 | 68 | 111 |
| 2 | 96 | 111 |
| 3 | 193 | 111 |
| 4 | 434 | 111 |
| 5 | 786 | 111 |
| 6 | 1246 | 111 |
| 7 | 1492 | 111 |
| 8 | 1518 | 111 |
| 9 | 1518 | 111 |
| 0 | 1518 | 106 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
y |
(+.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
(+.f64 #s(literal -1/2 binary64) x) |
(+.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 y x) |
y |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y x) x) |
| ✓ | accuracy | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 48.2% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| 46.0ms | 256× | 0 | valid |
Compiled 104 to 26 computations (75% saved)
ival-mult: 10.0ms (34.1% of total)ival-add: 8.0ms (27.2% of total)const: 6.0ms (20.4% of total)ival-sub: 4.0ms (13.6% of total)exact: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))> |
#<alt (+.f64 y #s(literal -1 binary64))> |
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))> |
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))> |
#<alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))> |
#<alt (*.f64 y (+.f64 #s(literal -1/2 binary64) x))> |
#<alt (+.f64 #s(literal -1/2 binary64) x)> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))> |
#<alt (-.f64 (*.f64 y x) x)> |
#<alt (*.f64 y x)> |
| Outputs |
|---|
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt -1/2> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (* y x) x) |
| 0.0ms | x | @ | -inf | (* y (+ -1/2 x)) |
| 0.0ms | y | @ | 0 | (* y (+ -1/2 x)) |
| 0.0ms | y | @ | inf | (* y (+ -1/2 x)) |
| 0.0ms | x | @ | inf | (- (* y x) x) |
| 1× | egg-herbie |
| 7 516× | lower-fma.f64 |
| 7 516× | lower-fma.f32 |
| 2 280× | lower-*.f64 |
| 2 280× | lower-*.f32 |
| 1 112× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1549 |
| 1 | 320 | 1445 |
| 2 | 893 | 1445 |
| 3 | 2588 | 1445 |
| 4 | 6965 | 1445 |
| 0 | 8159 | 1332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(* -1/2 y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(* -1/2 y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 x) |
(neg.f64 x) |
(- (* x y) x) |
(-.f64 (*.f64 x y) x) |
(- (* x y) x) |
(-.f64 (*.f64 x y) x) |
(- (* x y) x) |
(-.f64 (*.f64 x y) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 x y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 5 138× | lower-fma.f32 |
| 5 132× | lower-fma.f64 |
| 4 154× | lower-/.f64 |
| 4 154× | lower-/.f32 |
| 3 718× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 104 |
| 0 | 37 | 104 |
| 1 | 188 | 96 |
| 2 | 1292 | 96 |
| 0 | 8594 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(+.f64 #s(literal -1/2 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
| Outputs |
|---|
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))) |
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 (-.f64 (*.f64 y x) x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) |
(+.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x))) |
(+.f64 (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 y x) x))) (-.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))) |
(+.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x)) (*.f64 y #s(literal -1/2 binary64))) |
(-.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 y x) x))) (-.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) |
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x)) (*.f64 y #s(literal 1/2 binary64))) |
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(fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (+.f64 y #s(literal 1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (neg.f64 x)) (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x))))) |
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (fma.f64 y x x)) |
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) (neg.f64 (-.f64 (*.f64 y x) (neg.f64 x)))) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x))) (*.f64 (fma.f64 y x x) (fma.f64 y x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)))) (neg.f64 (neg.f64 (fma.f64 y x x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) |
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x)))))) |
(*.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(*.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) (neg.f64 x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x x)))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y x) x) x)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 21 423 to 1 693 computations (92.1% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 852 | 6 | 858 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 855 | 9 | 864 |
| Status | Accuracy | Program |
|---|---|---|
| 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) | |
| ▶ | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 48.2% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
| ▶ | 25.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| ▶ | 29.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| ▶ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| ▶ | 24.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 105 to 58 computations (44.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (- (* y x) x) (*.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | #s(approx (- (* y x) x) (neg.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| ✓ | cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 y x (neg.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| 1 424× | lower-fma.f32 |
| 1 422× | lower-fma.f64 |
| 384× | lower-*.f32 |
| 380× | lower-*.f64 |
| 368× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 148 |
| 0 | 32 | 148 |
| 1 | 55 | 148 |
| 2 | 89 | 148 |
| 3 | 172 | 138 |
| 4 | 403 | 138 |
| 5 | 767 | 138 |
| 6 | 1231 | 138 |
| 7 | 1550 | 138 |
| 8 | 1617 | 138 |
| 9 | 1619 | 138 |
| 10 | 1621 | 138 |
| 11 | 1624 | 138 |
| 12 | 1626 | 138 |
| 0 | 1626 | 133 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
(fma.f64 y x (neg.f64 x)) |
y |
x |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (- (* y x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (- (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
y |
#s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 x y (neg.f64 x))) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 x y (neg.f64 x)) |
y |
x |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (- (* y x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (- (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
y |
#s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 48.2% | #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 53.2% | #s(approx (- (* y x) x) (*.f64 x y)) |
| ✓ | accuracy | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| ✓ | accuracy | 49.3% | #s(approx (- (* y x) x) (neg.f64 x)) |
| ✓ | accuracy | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | accuracy | 48.2% | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y x (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| 94.0ms | 256× | 0 | valid |
Compiled 99 to 21 computations (78.8% saved)
ival-mult: 27.0ms (62.6% of total)ival-sub: 7.0ms (16.2% of total)const: 5.0ms (11.6% of total)ival-add: 3.0ms (7% of total)ival-neg: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))> |
#<alt (fma.f64 y x (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))> |
#<alt #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))> |
#<alt #s(approx (- (* y x) x) (neg.f64 x))> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))> |
#<alt #s(approx (- (* y x) x) (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))> |
#<alt (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))> |
#<alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt -1/2> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (- (* y x) x) |
| 0.0ms | y | @ | 0 | (+ (* y x) (neg x)) |
| 0.0ms | x | @ | inf | (* x y) |
| 0.0ms | x | @ | 0 | (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | y | @ | inf | (+ (* y x) (neg x)) |
| 1× | egg-herbie |
| 10 848× | lower-fma.f64 |
| 10 848× | lower-fma.f32 |
| 2 266× | lower-*.f64 |
| 2 266× | lower-*.f32 |
| 1 506× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1755 |
| 1 | 257 | 1741 |
| 2 | 746 | 1561 |
| 3 | 2172 | 1561 |
| 4 | 6023 | 1561 |
| 5 | 7918 | 1561 |
| 0 | 8259 | 1466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 x) |
(neg.f64 x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
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(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
| 11 538× | lower-fma.f32 |
| 11 536× | lower-fma.f64 |
| 4 502× | lower-*.f32 |
| 4 498× | lower-*.f64 |
| 2 754× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 138 |
| 0 | 32 | 138 |
| 1 | 136 | 138 |
| 2 | 992 | 124 |
| 0 | 9734 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
(fma.f64 y x (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (- (* y x) x) (neg.f64 x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (- (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
#s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 x y x)) |
(+.f64 x (*.f64 x y)) |
(+.f64 (*.f64 x y) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 x y x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) |
(+.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 x (*.f64 x y)) |
(-.f64 (*.f64 x y) x) |
(-.f64 #s(literal 0 binary64) (fma.f64 x y x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))) |
(-.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x y)) |
(fma.f64 x (neg.f64 y) x) |
(fma.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 y x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x y) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x y)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) x) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 x x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 y y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) x) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x y) x) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x y) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(neg.f64 (fma.f64 x y x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 x y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(/.f64 (fma.f64 x (*.f64 y y) x) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (*.f64 (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 y y) x)) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x)))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (fma.f64 x (*.f64 y y) x) (fma.f64 x y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) x) (*.f64 #s(literal 0 binary64) (fma.f64 x y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))) (fma.f64 x y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(*.f64 x (-.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x y x) (*.f64 (fma.f64 x y x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) |
(*.f64 (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))) (*.f64 (fma.f64 x y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x)) |
(*.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 y y) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x y x) x) (/.f64 (fma.f64 x y x) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) x) (/.f64 (fma.f64 x y x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) (+.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 x y x) x)) |
(*.f64 (/.f64 (fma.f64 x y x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 (fma.f64 x y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))))) |
(*.f64 (/.f64 (fma.f64 x y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 x y x) x)) |
x |
(+.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 x x) x) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (- (* y x) x) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (- (* y x) x) (*.f64 x y)) |
(+.f64 (*.f64 x y) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 x y)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 x y)) |
(-.f64 (*.f64 x y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 x y)) |
(fma.f64 x y #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) y (*.f64 x y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 0 binary64)) |
(neg.f64 (*.f64 x y)) |
(/.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x)))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x))))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) #s(literal 0 binary64)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x (neg.f64 y)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 y) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
(*.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y) |
(*.f64 (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
#s(approx (+ -1/2 x) #s(literal -1/2 binary64)) |
Compiled 4 537 to 305 computations (93.3% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 1 | 460 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 459 | 10 | 469 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 48.2% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 25.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| ✓ | 29.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| ✓ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| ▶ | 2.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
| ✓ | 24.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 68 to 38 computations (44.1% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 192 | (fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (* y x) x) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
| 1 376× | lower-fma.f32 |
| 1 374× | lower-fma.f64 |
| 352× | lower-+.f64 |
| 352× | lower--.f64 |
| 352× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 57 |
| 0 | 20 | 55 |
| 1 | 42 | 55 |
| 2 | 70 | 51 |
| 3 | 143 | 51 |
| 4 | 357 | 51 |
| 5 | 659 | 51 |
| 6 | 1123 | 51 |
| 7 | 1333 | 51 |
| 8 | 1483 | 51 |
| 9 | 1489 | 51 |
| 10 | 1489 | 51 |
| 0 | 1489 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (- (* y x) x) x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
y |
x |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (- (* y x) x) x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
x |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
| ✓ | accuracy | 3.1% | #s(approx (- (* y x) x) x) |
| 27.0ms | 256× | 0 | valid |
Compiled 43 to 17 computations (60.5% saved)
ival-mult: 7.0ms (37.1% of total)ival-sub: 4.0ms (21.2% of total)const: 4.0ms (21.2% of total)ival-add: 3.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x))> |
#<alt #s(approx (- (* y x) x) x)> |
#<alt (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))> |
#<alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64))))> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | y | @ | inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | y | @ | 0 | (+ (* y x) (* y -1/2)) |
| 0.0ms | y | @ | -inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | x | @ | 0 | (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| 1× | egg-herbie |
| 13 174× | lower-fma.f64 |
| 13 174× | lower-fma.f32 |
| 2 426× | lower-*.f64 |
| 2 426× | lower-*.f32 |
| 1 444× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 717 |
| 1 | 221 | 715 |
| 2 | 642 | 643 |
| 3 | 1851 | 643 |
| 4 | 5682 | 643 |
| 0 | 8065 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(- (* x y) x) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* y (+ x (* -1 (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 y x) x) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 y x) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
| 14 220× | lower-fma.f32 |
| 14 218× | lower-fma.f64 |
| 5 958× | lower-*.f32 |
| 5 956× | lower-*.f64 |
| 3 746× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 53 |
| 0 | 20 | 51 |
| 1 | 103 | 51 |
| 2 | 827 | 47 |
| 0 | 8879 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (- (* y x) x) x) |
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (- (* y x) x) x) |
(+.f64 (*.f64 x y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x y)) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x y)) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y)) |
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 x y)) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 x (*.f64 x y)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x y) y) (/.f64 (*.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x y)) y) (/.f64 y (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) y) (/.f64 x (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) y (*.f64 y #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
Compiled 2 684 to 251 computations (90.6% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 0 | 200 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 200 | 10 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | 53.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 48.2% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 25.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| ✓ | 29.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| ✓ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| ✓ | 2.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
| ✓ | 24.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 153 to 67 computations (56.2% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
4 calls:
| 6.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 5.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) |
4 calls:
| 10.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) |
4 calls:
| 8.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 4.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 98.8% | 3 | y |
| 80.5% | 4 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 80.5% | 4 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
4 calls:
| 4.0ms | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 3.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 65.5% | 3 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 80.1% | 6 | x |
| 79.5% | 4 | y |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 4 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) |
2 calls:
| 45.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 4 | x |
| 75.2% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 1 | x |
| 49.1% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 49.1% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 49.1% | 1 | y |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) |
4 calls:
| 46.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.2% | 3 | y |
| 48.3% | 3 | x |
| 48.3% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 48.3% | 3 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
Total -14.6b remaining (-30.3%)
Threshold costs -14.6b (-30.3%)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) x)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
4 calls:
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.6% | 1 | y |
| 24.6% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 24.6% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 24.6% | 1 | x |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.0015710085671029187 | 13.136809478374905 |
| 28.0ms | -5.443183015982821 | -1.5067656006294083e-17 |
| 19.0ms | 288× | 0 | valid |
Compiled 322 to 213 computations (33.9% saved)
const: 5.0ms (39.9% of total)ival-sub: 3.0ms (24% of total)ival-mult: 3.0ms (24% of total)ival-add: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0015710085671029187 | 13.136809478374905 |
| 1.0ms | -5.443183015982821 | -1.5067656006294083e-17 |
Compiled 304 to 213 computations (29.9% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.874369696888022e+30 | 1.7799601046785572e+31 |
| 28.0ms | 1.5840229867978776e-13 | 0.0015710085671029187 |
| 11.0ms | -3.2443804674194385e+58 | -6.435224776085326e+56 |
| 44.0ms | 352× | 0 | valid |
Compiled 351 to 245 computations (30.2% saved)
ival-sub: 15.0ms (41.5% of total)const: 14.0ms (38.7% of total)ival-mult: 4.0ms (11.1% of total)ival-add: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.874369696888022e+30 | 1.7799601046785572e+31 |
| 10.0ms | 0.0015710085671029187 | 13.136809478374905 |
| 1.0ms | -3.2443804674194385e+58 | -6.435224776085326e+56 |
| 6.0ms | 96× | 0 | valid |
Compiled 321 to 210 computations (34.6% saved)
const: 2.0ms (47% of total)ival-sub: 1.0ms (23.5% of total)ival-mult: 1.0ms (23.5% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.0015710085671029187 | 13.136809478374905 |
| 21.0ms | -5.443183015982821 | -1.5067656006294083e-17 |
| 18.0ms | 96× | 0 | valid |
Compiled 286 to 177 computations (38.1% saved)
const: 2.0ms (46.1% of total)ival-sub: 1.0ms (23% of total)ival-mult: 1.0ms (23% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.474098847881969e-18 | 8.739965439862799e-15 |
| 27.0ms | -9050625757.076479 | -0.0051987912734187975 |
| 19.0ms | 288× | 0 | valid |
Compiled 250 to 159 computations (36.4% saved)
const: 5.0ms (39.9% of total)ival-sub: 3.0ms (23.9% of total)ival-mult: 3.0ms (23.9% of total)ival-add: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 476 |
| 1 | 92 | 476 |
| 2 | 99 | 476 |
| 3 | 102 | 476 |
| 4 | 103 | 476 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 3447327532494841/2361183241434822606848 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))) |
(if (<=.f64 y #s(literal -3039929748475085/562949953421312 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) (if (<=.f64 x #s(literal 5387515050969975/633825300114114700748351602688 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 3447327532494841/2361183241434822606848 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 3447327532494841/2361183241434822606848 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))) |
(if (<=.f64 y #s(literal -650000000000000005291664095581804393406286799069035626496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 9500000000000000329641424322560 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -3039929748475085/562949953421312 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))))) |
(if (<=.f64 y #s(literal -3039929748475085/562949953421312 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) (if (<=.f64 x #s(literal 5387515050969975/633825300114114700748351602688 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| 11 900× | lower-fma.f64 |
| 11 900× | lower-fma.f32 |
| 7 516× | lower-fma.f64 |
| 7 516× | lower-fma.f32 |
| 7 498× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 69 | 31 |
| 2 | 520 | 31 |
| 3 | 7720 | 31 |
| 0 | 8249 | 28 |
| 0 | 102 | 1549 |
| 1 | 320 | 1445 |
| 2 | 893 | 1445 |
| 3 | 2588 | 1445 |
| 4 | 6965 | 1445 |
| 0 | 8159 | 1332 |
| 0 | 76 | 593 |
| 1 | 232 | 592 |
| 2 | 695 | 520 |
| 3 | 1796 | 520 |
| 4 | 6373 | 520 |
| 0 | 8167 | 501 |
| 0 | 25 | 104 |
| 0 | 37 | 104 |
| 1 | 188 | 96 |
| 2 | 1292 | 96 |
| 0 | 8594 | 96 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 340 to 169 computations (50.3% saved)
Compiled 386 to 128 computations (66.8% saved)
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