
Time bar (total: 9.2s)
| 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)
| 788.0ms | 8 256× | 0 | valid |
const: 212.0ms (43% of total)ival-mult: 112.0ms (22.7% of total)ival-sub: 92.0ms (18.7% of total)ival-add: 60.0ms (12.2% of total)exact: 8.0ms (1.6% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 1 376× | accelerator-lowering-fma.f32 |
| 1 376× | accelerator-lowering-fma.f64 |
| 862× | sub-neg |
| 530× | unsub-neg |
| 492× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 82 | 70 |
| 2 | 209 | 66 |
| 3 | 666 | 56 |
| 4 | 1681 | 54 |
| 5 | 3183 | 54 |
| 6 | 3711 | 54 |
| 7 | 3848 | 54 |
| 8 | 3874 | 54 |
| 9 | 3878 | 54 |
| 10 | 3923 | 54 |
| 11 | 3983 | 54 |
| 12 | 4007 | 54 |
| 13 | 4007 | 54 |
| 14 | 4007 | 54 |
| 0 | 10 | 11 |
| 1 | 25 | 11 |
| 2 | 53 | 11 |
| 3 | 105 | 9 |
| 4 | 207 | 9 |
| 5 | 432 | 9 |
| 6 | 831 | 9 |
| 7 | 1224 | 9 |
| 8 | 1464 | 9 |
| 9 | 1485 | 9 |
| 0 | 1485 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Inputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000) |
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)) |
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)) |
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (* y (- -1/2 x)) (+ x 918938533204673/1000000000000000)) |
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000) |
(+ (* y (- 1/2 x)) (- 918938533204673/1000000000000000 x)) |
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)) |
(+ (* y (+ x 1/2)) (- -918938533204673/1000000000000000 x)) |
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)) |
(+ (* y (+ x -1/2)) (+ x -918938533204673/1000000000000000)) |
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000) |
(+ (* x (+ y -1/2)) (- 918938533204673/1000000000000000 y)) |
| 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 |
| 44.0ms | 512× | 0 | valid |
Compiled 102 to 44 computations (56.9% saved)
const: 9.0ms (37.8% of total)ival-mult: 6.0ms (25.2% of total)ival-sub: 5.0ms (21% of total)ival-add: 2.0ms (8.4% of total)exact: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 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× | accelerator-lowering-fma.f32 |
| 1 376× | accelerator-lowering-fma.f64 |
| 352× | +-lowering-+.f64 |
| 352× | --lowering--.f32 |
| 352× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 25 | 36 |
| 2 | 53 | 36 |
| 3 | 105 | 32 |
| 4 | 207 | 32 |
| 5 | 432 | 32 |
| 6 | 831 | 32 |
| 7 | 1224 | 32 |
| 8 | 1464 | 32 |
| 9 | 1485 | 32 |
| 0 | 1485 | 31 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(- (* x (- y 1)) (* y 1/2)) |
(* x (- y 1)) |
x |
(- y 1) |
y |
1 |
(* y 1/2) |
1/2 |
918938533204673/1000000000000000 |
| Outputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (* x (- y 1)) (* y 1/2)) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
x |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
1 |
#s(literal 1 binary64) |
(* y 1/2) |
(*.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | 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 (*.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))) |
| 30.0ms | 256× | 0 | valid |
Compiled 38 to 12 computations (68.4% saved)
ival-sub: 12.0ms (56% of total)const: 4.0ms (18.7% of total)ival-mult: 3.0ms (14% of total)ival-add: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x (- y 1)) (* y 1/2))> |
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)> |
#<alt (* x (- y 1))> |
#<alt (- y 1)> |
#<alt (* y 1/2)> |
| 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* y 1/2) |
| 1.0ms | y | @ | 0 | (- (* x (- y 1)) (* y 1/2)) |
| 0.0ms | x | @ | 0 | (- (* x (- y 1)) (* y 1/2)) |
| 0.0ms | x | @ | inf | (- (* x (- y 1)) (* y 1/2)) |
| 0.0ms | y | @ | inf | (- (* x (- y 1)) (* y 1/2)) |
| 1× | batch-egg-rewrite |
| 7 498× | accelerator-lowering-fma.f32 |
| 7 498× | accelerator-lowering-fma.f64 |
| 4 788× | *-lowering-*.f32 |
| 4 788× | *-lowering-*.f64 |
| 3 354× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 64 | 31 |
| 2 | 515 | 31 |
| 3 | 7716 | 31 |
| 0 | 8245 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x (- y 1)) (* y 1/2)) |
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(* x (- y 1)) |
(- y 1) |
(* y 1/2) |
| 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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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)))))) |
(+.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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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)))) (/.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)))))) |
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(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 y (/.f64 (*.f64 y y) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (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)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(*.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)) |
| 1× | egg-herbie |
| 11 900× | accelerator-lowering-fma.f32 |
| 11 900× | accelerator-lowering-fma.f64 |
| 3 162× | *-lowering-*.f32 |
| 3 162× | *-lowering-*.f64 |
| 1 298× | +-lowering-+.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)) |
Compiled 15 526 to 1 358 computations (91.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 8 | 480 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 473 | 8 | 481 |
| 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))) |
| 51.8% | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| ▶ | 60.7% | (/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) | |
| 48.1% | (-.f64 (*.f64 y x) x) | |
| ▶ | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
| ▶ | 52.1% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ▶ | 49.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
Compiled 212 to 134 computations (36.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
| ✓ | cost-diff | 2112 | (/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) 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 | (-.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))) |
| 24 748× | accelerator-lowering-fma.f32 |
| 24 748× | accelerator-lowering-fma.f64 |
| 3 980× | +-lowering-+.f64 |
| 3 980× | +-lowering-+.f32 |
| 2 698× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 254 |
| 1 | 125 | 234 |
| 2 | 478 | 220 |
| 3 | 2060 | 208 |
| 4 | 6603 | 208 |
| 0 | 8160 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000)) |
(+ y -1) |
y |
-1 |
x |
(+ (* y -1/2) 918938533204673/1000000000000000) |
-1/2 |
918938533204673/1000000000000000 |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
x |
(* y (+ -1/2 x)) |
y |
(+ -1/2 x) |
-1/2 |
x |
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x)) |
918938533204673/1000000000000000 |
(+ (* y (- 1/2 x)) x) |
y |
(- 1/2 x) |
1/2 |
x |
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(* x (+ (* y y) -1)) |
x |
(+ (* y y) -1) |
y |
-1 |
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(* y 1/4) |
1/4 |
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
918938533204673/2000000000000000 |
844448027808355901771309036929/1000000000000000000000000000000 |
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) |
(+ y 1) |
1 |
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) |
(* (* y y) 1/8) |
(* y y) |
1/8 |
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 |
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
| Outputs |
|---|
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
x |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
(* y (+ -1/2 x)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
(+ -1/2 x) |
(+.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
x |
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ (* y (- 1/2 x)) x) |
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) |
y |
(- 1/2 x) |
(-.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) |
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(* x (+ (* y y) -1)) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
x |
(+ (* y y) -1) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) |
(* y 1/4) |
(*.f64 y #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) |
918938533204673/2000000000000000 |
#s(literal 918938533204673/2000000000000000 binary64) |
844448027808355901771309036929/1000000000000000000000000000000 |
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) |
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) |
(+ y 1) |
(+.f64 y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) |
(* (* y y) 1/8) |
(*.f64 (*.f64 y y) #s(literal 1/8 binary64)) |
(* y y) |
(*.f64 y y) |
1/8 |
#s(literal 1/8 binary64) |
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 |
#s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) |
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 y #s(literal 1 binary64))) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
| ✓ | accuracy | 93.4% | (*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | accuracy | 81.7% | (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) |
| ✓ | accuracy | 63.3% | (/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) 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 | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 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))) |
| 145.0ms | 256× | 0 | valid |
Compiled 227 to 43 computations (81.1% saved)
ival-add: 51.0ms (40.7% of total)ival-mult: 38.0ms (30.3% of total)const: 29.0ms (23.1% of total)ival-sub: 4.0ms (3.2% of total)ival-div: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))> |
#<alt (+ y -1)> |
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)> |
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (* y (+ -1/2 x))> |
#<alt (+ -1/2 x)> |
#<alt (- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))> |
#<alt (+ (* y (- 1/2 x)) x)> |
#<alt (- 1/2 x)> |
#<alt (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))> |
#<alt (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))> |
#<alt (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))> |
#<alt (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))> |
#<alt (* x (+ (* y y) -1))> |
#<alt (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))> |
| 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> |
#<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 (* 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 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* -1 (* y (- 1/2 x)))> |
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))> |
#<alt (* -1 (* x (- 1 y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))> |
#<alt x> |
#<alt (+ x (* y (- 1/2 x)))> |
#<alt (+ x (* y (- 1/2 x)))> |
#<alt (+ x (* y (- 1/2 x)))> |
#<alt (* y (- 1/2 x))> |
#<alt (* y (- (+ 1/2 (/ x y)) x))> |
#<alt (* y (- (+ 1/2 (/ x y)) x))> |
#<alt (* y (- (+ 1/2 (/ x y)) x))> |
#<alt (* y (- 1/2 x))> |
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))> |
#<alt (* 1/2 y)> |
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))> |
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))> |
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (- y 1)))> |
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 x))> |
#<alt (+ 1/2 (* -1 x))> |
#<alt (+ 1/2 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))> |
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))> |
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))> |
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))> |
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))> |
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))> |
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))> |
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))> |
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))> |
#<alt (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))> |
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))> |
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))> |
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (+ (* 594448027808355901771309036929/844448027808355901771309036929 x) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/2000000000000000 x) 1/8)) (+ (* 250000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (+ (* 709469266602336500000000000000/844448027808355901771309036929 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))) (* 1418938533204673/918938533204673 (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))))))) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))> |
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))> |
#<alt (* y (- (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))) (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y))))> |
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y)))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2)))))))> |
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (+ (* 4 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)) (pow y 3))) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))))) (+ (* 1418938533204673/500000000000000 (/ (- (* 594448027808355901771309036929/250000000000000000000000000000 x) (+ (* 1418938533204673/500000000000000 (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)))) (pow y 3))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 3))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (+ (* 844448027808355901771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 3))) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2))))))))))> |
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))> |
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))> |
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))> |
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (+ (* -594448027808355901771309036929/250000000000000000000000000000 x) (* -1 (/ (- (* -4 (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (+ (* -1418938533204673/500000000000000 (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))))))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 844448027808355901771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8))))) y))) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))> |
#<alt 844448027808355901771309036929/1000000000000000000000000000000> |
#<alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 918938533204673/2000000000000000 y))> |
#<alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/2000000000000000 (* 1/4 y))))> |
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#<alt (* (pow y 2) (+ 1/4 (* 918938533204673/2000000000000000 (/ 1 y))))> |
#<alt (* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y)))))> |
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#<alt (* 1/4 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/4 (* 918938533204673/2000000000000000 (/ 1 y))))> |
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#<alt (- (* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))> |
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#<alt (* (pow y 4) (- (* 1/4 x) 1/8))> |
#<alt (* (pow y 4) (- (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))) (+ 1/8 (* 1/8 (/ 1 y)))))> |
#<alt (* (pow y 4) (- (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))) (+ 1/8 (* 1/8 (/ 1 y)))))> |
#<alt (* (pow y 4) (- (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (+ (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))))) (+ 1/8 (* 1/8 (/ 1 y)))))> |
#<alt (* (pow y 4) (- (* 1/4 x) 1/8))> |
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#<alt -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000> |
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#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* x (- (pow y 2) 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* x (pow y 2)))> |
#<alt (+ (* -1 x) (* x (pow y 2)))> |
#<alt (+ (* -1 x) (* x (pow y 2)))> |
#<alt (* x (pow y 2))> |
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))> |
#<alt (* x (pow y 2))> |
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#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))> |
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#<alt (* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))> |
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#<alt (* -844448027808355901771309036929/1000000000000000000000000000000 x)> |
#<alt (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* -918938533204673/2000000000000000 (* x y)))> |
#<alt (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y)))))> |
#<alt (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x))))))> |
#<alt (* 1/4 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))> |
#<alt (* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))> |
#<alt (* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))))> |
#<alt (* 1/4 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))> |
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))> |
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | (* y (+ -1/2 x)) |
| 3.0ms | y | @ | -inf | (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
| 2.0ms | x | @ | 0 | (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
| 2.0ms | y | @ | inf | (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
| 2.0ms | y | @ | 0 | (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
| 1× | batch-egg-rewrite |
| 5 396× | *-lowering-*.f32 |
| 5 396× | *-lowering-*.f64 |
| 4 162× | accelerator-lowering-fma.f32 |
| 4 162× | accelerator-lowering-fma.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 181 |
| 1 | 290 | 165 |
| 2 | 2946 | 165 |
| 0 | 8757 | 143 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000)) |
(+ y -1) |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(- 918938533204673/1000000000000000 x) |
(* y (+ -1/2 x)) |
(+ -1/2 x) |
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x)) |
(+ (* y (- 1/2 x)) x) |
(- 1/2 x) |
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) |
(* x (+ (* y y) -1)) |
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.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 x (+.f64 y #s(literal -1 binary64))))) |
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(fma.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (*.f64 y y)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (neg.f64 x) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64))) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y y #s(literal -1 binary64))) x (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64))) x (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) y (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (-.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(*.f64 x (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64))) x) |
(*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 9 400× | accelerator-lowering-fma.f32 |
| 9 400× | accelerator-lowering-fma.f64 |
| 4 298× | *-lowering-*.f32 |
| 4 298× | *-lowering-*.f64 |
| 4 062× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 3583 |
| 1 | 1534 | 3355 |
| 2 | 4885 | 3280 |
| 0 | 8208 | 2931 |
| 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 |
(+ 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))))) |
(* 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 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
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(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
x |
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(* 1/2 y) |
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1/2 |
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(+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) |
(+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) |
(+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))) |
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y)))) |
(* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y)))) |
(* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y)))) |
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
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(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))))) |
(* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) |
(+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))))) |
(+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))))) |
(+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (+ (* 594448027808355901771309036929/844448027808355901771309036929 x) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/2000000000000000 x) 1/8)) (+ (* 250000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (+ (* 709469266602336500000000000000/844448027808355901771309036929 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))) (* 1418938533204673/918938533204673 (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))))))) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))))) |
(* 4 (* y (- (* 1/4 x) 1/8))) |
(* y (- (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))) (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)))) |
(* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y)))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2))))))) |
(* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (+ (* 4 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)) (pow y 3))) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))))) (+ (* 1418938533204673/500000000000000 (/ (- (* 594448027808355901771309036929/250000000000000000000000000000 x) (+ (* 1418938533204673/500000000000000 (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)))) (pow y 3))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 3))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (+ (* 844448027808355901771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 3))) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2)))))))))) |
(* 4 (* y (- (* 1/4 x) 1/8))) |
(* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y))))) |
(* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y))))) |
(* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (+ (* -594448027808355901771309036929/250000000000000000000000000000 x) (* -1 (/ (- (* -4 (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (+ (* -1418938533204673/500000000000000 (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))))))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 844448027808355901771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8))))) y))) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y))))) |
844448027808355901771309036929/1000000000000000000000000000000 |
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* 918938533204673/2000000000000000 y)) |
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/2000000000000000 (* 1/4 y)))) |
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/2000000000000000 (* 1/4 y)))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* 918938533204673/2000000000000000 (/ 1 y)))) |
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y))))) |
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* 918938533204673/2000000000000000 (/ 1 y)))) |
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y))))) |
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y))))) |
(* -1 (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(- (* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(- (* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(- (* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)) (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))) |
(* x (+ (* -1 (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)) (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))) |
(* x (+ (* -1 (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)) (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)))) |
(* -1 (* x (+ (* -1 (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)))) |
(* -1 (* x (+ (* -1 (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) (/ (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) x)))) |
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)) |
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))))) |
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y))))))) |
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 594448027808355901771309036929/1000000000000000000000000000000 x) (* y (- (* 918938533204673/2000000000000000 x) 1/8))))))))) |
(* (pow y 4) (- (* 1/4 x) 1/8)) |
(* (pow y 4) (- (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))) (+ 1/8 (* 1/8 (/ 1 y))))) |
(* (pow y 4) (- (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))) (+ 1/8 (* 1/8 (/ 1 y))))) |
(* (pow y 4) (- (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (+ (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))))) (+ 1/8 (* 1/8 (/ 1 y))))) |
(* (pow y 4) (- (* 1/4 x) 1/8)) |
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)) 1/8)) |
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x))) y)) (* 1/4 x)) 1/8)) |
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1 (/ (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x))) y)) (* 1/4 x)) 1/8)) |
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 |
(- (* -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 y) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) |
(- (* y (- (* 1/8 (pow y 2)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) |
(- (* y (- (* (pow y 2) (+ 1/8 (* 1/8 y))) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) |
(* 1/8 (pow y 4)) |
(* (pow y 4) (+ 1/8 (* 1/8 (/ 1 y)))) |
(* (pow y 4) (- (+ 1/8 (* 1/8 (/ 1 y))) (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3)))) |
(* (pow y 4) (+ 1/8 (+ (* -1 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 y))) (pow y 3))) (* 1/8 (/ 1 y))))) |
(* 1/8 (pow y 4)) |
(* (pow y 4) (+ 1/8 (* 1/8 (/ 1 y)))) |
(* (pow y 4) (+ 1/8 (* -1 (/ (- (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2))) 1/8) y)))) |
(* (pow y 4) (+ 1/8 (* -1 (/ (- (+ (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3)) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2)))) 1/8) y)))) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 2))) |
(+ (* -1 x) (* x (pow y 2))) |
(+ (* -1 x) (* x (pow y 2))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(* -844448027808355901771309036929/1000000000000000000000000000000 x) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* -918938533204673/2000000000000000 (* x y))) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y))))) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)))))) |
(* 1/4 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y)))) |
(* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))) |
(* 1/4 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y)))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x))) |
| 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 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 (+ (* -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 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 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)) |
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y)) |
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 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) 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 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y)) |
-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)))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.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 (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* -1 (* y (- 1/2 x))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(-.f64 (*.f64 x y) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x) |
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(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* -844448027808355901771309036929/1000000000000000000000000000000 x) |
(*.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* -918938533204673/2000000000000000 (* x y))) |
(*.f64 x (fma.f64 y #s(literal -918938533204673/2000000000000000 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y))))) |
(fma.f64 y (*.f64 x (fma.f64 y #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal -918938533204673/2000000000000000 binary64))) (*.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)))))) |
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 x #s(literal -918938533204673/2000000000000000 binary64))) (*.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(* 1/4 (* x (pow y 4))) |
(*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y)))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))) |
(* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 918938533204673/2000000000000000 binary64) (/.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) y))))) |
(* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y)) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))) |
(* 1/4 (* x (pow y 4))) |
(*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y)))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (fma.f64 x #s(literal -918938533204673/2000000000000000 binary64) (*.f64 (/.f64 x y) #s(literal -594448027808355901771309036929/1000000000000000000000000000000 binary64))) y))) |
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal -918938533204673/2000000000000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))) y)) y))) |
Compiled 57 973 to 3 147 computations (94.6% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 008 | 9 | 1 017 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 013 | 12 | 1 025 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.4% | (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
| 49.3% | (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) | |
| ▶ | 51.8% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| 50.8% | (/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) | |
| 48.1% | (-.f64 (*.f64 y x) x) | |
| ✓ | 52.1% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ▶ | 88.5% | (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
| ✓ | 49.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
| 24.6% | (*.f64 y x) | |
| ▶ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| 25.8% | (neg.f64 x) | |
| ▶ | 28.1% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 170 to 123 computations (27.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 832 | (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
| 8 594× | accelerator-lowering-fma.f32 |
| 8 594× | accelerator-lowering-fma.f64 |
| 2 334× | *-lowering-*.f32 |
| 2 334× | *-lowering-*.f64 |
| 1 108× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 67 |
| 1 | 36 | 67 |
| 2 | 74 | 67 |
| 3 | 168 | 67 |
| 4 | 372 | 67 |
| 5 | 703 | 65 |
| 6 | 1243 | 65 |
| 7 | 2588 | 65 |
| 8 | 4723 | 65 |
| 9 | 6468 | 65 |
| 10 | 7474 | 65 |
| 0 | 8012 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
y |
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)) |
x |
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2) |
(/ (- 918938533204673/1000000000000000 x) y) |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
-1/2 |
918938533204673/1000000000000000 |
(* y -1/2) |
y |
-1/2 |
(+ (* y -1/2) 918938533204673/1000000000000000) |
y |
-1/2 |
918938533204673/1000000000000000 |
(+ (* (+ y -1) x) 918938533204673/1000000000000000) |
(+ y -1) |
y |
-1 |
x |
918938533204673/1000000000000000 |
| Outputs |
|---|
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
y |
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
x |
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ (* (+ y -1) x) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
x |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 y #s(literal -1 binary64)) x #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 -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) |
| ✓ | accuracy | 88.5% | (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
| 33.0ms | 256× | 0 | valid |
Compiled 67 to 17 computations (74.6% saved)
ival-add: 5.0ms (26.4% of total)ival-mult: 5.0ms (26.4% of total)const: 5.0ms (26.4% of total)ival-div: 2.0ms (10.6% of total)ival-sub: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)))> |
#<alt (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))> |
#<alt (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (* y -1/2)> |
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)> |
#<alt (+ (* (+ y -1) x) 918938533204673/1000000000000000)> |
#<alt (+ y -1)> |
#<alt (- 918938533204673/1000000000000000 x)> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (* x (* y (- 1 (/ 1 y))))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (- x 1/2)> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- x 1/2)> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt -1/2> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt -1/2> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- 918938533204673/1000000000000000 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)> |
#<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 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))> |
#<alt (* x y)> |
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 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 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)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
| 1.0ms | x | @ | inf | (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
| 1.0ms | y | @ | -inf | (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
| 1.0ms | y | @ | 0 | (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
| 0.0ms | y | @ | inf | (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
| 1× | batch-egg-rewrite |
| 5 412× | accelerator-lowering-fma.f32 |
| 5 412× | accelerator-lowering-fma.f64 |
| 4 120× | /-lowering-/.f32 |
| 4 120× | /-lowering-/.f64 |
| 3 924× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 1 | 115 | 53 |
| 2 | 1016 | 53 |
| 0 | 8348 | 51 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))) |
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)) |
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2) |
(/ (- 918938533204673/1000000000000000 x) y) |
(* y -1/2) |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(+ (* (+ y -1) x) 918938533204673/1000000000000000) |
(+ y -1) |
(- 918938533204673/1000000000000000 x) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y)) |
(+.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y x)) |
(+.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (*.f64 (+.f64 #s(literal -1/2 binary64) x) y)) |
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) |
(+.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))) |
(fma.f64 y x (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y)) |
(fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 y x)) |
(fma.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) |
(fma.f64 x y (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y (*.f64 (+.f64 #s(literal -1/2 binary64) x) y)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y)) |
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) y (*.f64 y x)) |
(fma.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y)) |
(fma.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 y (*.f64 y y))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))) (*.f64 y x)) |
(fma.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))) (*.f64 y x)) |
(fma.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 y (*.f64 y y))) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))) (*.f64 y x)) |
(fma.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))) (*.f64 y x)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))) (*.f64 (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)) (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) (*.f64 y (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) (*.f64 (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))) y))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))) |
(/.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))) |
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(*.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64)))) |
| 1× | egg-herbie |
| 8 804× | accelerator-lowering-fma.f32 |
| 8 804× | accelerator-lowering-fma.f64 |
| 2 246× | *-lowering-*.f32 |
| 2 246× | *-lowering-*.f64 |
| 2 234× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1102 |
| 1 | 355 | 1048 |
| 2 | 1020 | 936 |
| 3 | 2857 | 936 |
| 4 | 7011 | 936 |
| 0 | 8185 | 890 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- x 1/2)) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(* x (* y (- 1 (/ 1 y)))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* -1 (* x (* y (- (/ 1 y) 1)))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(- x 1/2) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- x 1/2) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(* -1 (/ x y)) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
-1/2 |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
-1/2 |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(/ 918938533204673/1000000000000000 y) |
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y)))))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- 918938533204673/1000000000000000 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) |
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 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y))) |
(* x y) |
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- y 1)) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 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 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))))) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
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(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) 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)) |
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) |
Compiled 13 773 to 1 862 computations (86.5% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 2 | 648 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 648 | 12 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 74.4% | (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
| ▶ | 49.3% | (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
| ✓ | 51.8% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ▶ | 48.1% | (-.f64 (*.f64 y x) x) |
| ✓ | 52.1% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| 51.7% | (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) | |
| ▶ | 88.5% | (*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
| ✓ | 49.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
| ▶ | 24.6% | (*.f64 y x) |
| ✓ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| ▶ | 25.8% | (neg.f64 x) |
| ✓ | 28.1% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 130 to 91 computations (30% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 192 | (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y x) x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 1536 | (*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
| 9 092× | accelerator-lowering-fma.f32 |
| 9 092× | accelerator-lowering-fma.f64 |
| 1 840× | *-lowering-*.f32 |
| 1 840× | *-lowering-*.f64 |
| 1 416× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 77 |
| 1 | 40 | 77 |
| 2 | 83 | 77 |
| 3 | 204 | 77 |
| 4 | 507 | 75 |
| 5 | 1041 | 73 |
| 6 | 2002 | 73 |
| 7 | 3718 | 73 |
| 8 | 5467 | 73 |
| 9 | 6399 | 73 |
| 10 | 6737 | 73 |
| 11 | 6900 | 73 |
| 12 | 6934 | 73 |
| 13 | 7009 | 73 |
| 14 | 7165 | 73 |
| 15 | 7607 | 73 |
| 16 | 7695 | 73 |
| 17 | 7709 | 73 |
| 18 | 7727 | 73 |
| 19 | 7747 | 73 |
| 20 | 7755 | 73 |
| 21 | 7775 | 73 |
| 22 | 7835 | 73 |
| 0 | 8139 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))) |
y |
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))) |
x |
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)) |
(/ 918938533204673/1000000000000000 y) |
918938533204673/1000000000000000 |
(+ (/ x y) 1/2) |
(/ x y) |
1/2 |
(neg x) |
x |
(* y x) |
y |
x |
(- (* y x) x) |
(* y x) |
y |
x |
(+ (* y -1/2) (* y x)) |
y |
-1/2 |
(* y x) |
x |
| Outputs |
|---|
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
y |
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))) |
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) x))) |
x |
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)) |
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ (/ x y) 1/2) |
(+.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
1/2 |
#s(literal 1/2 binary64) |
(neg x) |
(neg.f64 x) |
x |
(* y x) |
(*.f64 y x) |
y |
x |
(- (* y x) x) |
(-.f64 (*.f64 y x) x) |
(* y x) |
(*.f64 y x) |
y |
x |
(+ (* y -1/2) (* y x)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(* y x) |
(*.f64 y x) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y x) x) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
| ✓ | accuracy | 88.5% | (*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
| 36.0ms | 256× | 0 | valid |
Compiled 80 to 18 computations (77.5% saved)
ival-div: 6.0ms (26% of total)const: 5.0ms (21.6% of total)ival-mult: 4.0ms (17.3% of total)ival-add: 3.0ms (13% of total)ival-sub: 3.0ms (13% of total)ival-neg: 1.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))))> |
#<alt (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))> |
#<alt (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (neg x)> |
#<alt (* y x)> |
#<alt (- (* y x) x)> |
#<alt (+ (* y -1/2) (* y x))> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))> |
#<alt (* x (* y (- 1 (/ 1 y))))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))> |
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)> |
#<alt (- x 1/2)> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))> |
#<alt (- x 1/2)> |
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)> |
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)> |
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)> |
#<alt (/ (- 918938533204673/1000000000000000 x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)> |
#<alt -1/2> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))> |
#<alt -1/2> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 y)> |
#<alt (/ 918938533204673/1000000000000000 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 (* 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 (* -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)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))) |
| 0.0ms | y | @ | inf | (* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))) |
| 0.0ms | y | @ | 0 | (/ 918938533204673/1000000000000000 y) |
| 0.0ms | y | @ | -inf | (* y x) |
| 0.0ms | y | @ | inf | (+ (* y -1/2) (* y x)) |
| 1× | batch-egg-rewrite |
| 5 422× | *-lowering-*.f32 |
| 5 422× | *-lowering-*.f64 |
| 4 810× | /-lowering-/.f32 |
| 4 810× | /-lowering-/.f64 |
| 3 962× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 51 |
| 1 | 112 | 45 |
| 2 | 1144 | 45 |
| 0 | 8748 | 45 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))) |
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))) |
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)) |
(/ 918938533204673/1000000000000000 y) |
(neg x) |
(* y x) |
(- (* y x) x) |
(+ (* y -1/2) (* y x)) |
| Outputs |
|---|
(+.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) |
(fma.f64 y x (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 y x)) |
(fma.f64 x y (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) y (*.f64 y x)) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x)))) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))) y) (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) y) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))) y)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) y)) (neg.f64 (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y x))))) |
(*.f64 y (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) y) |
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) |
(+.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) |
(-.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) #s(literal 1/2 binary64)) |
(-.f64 (-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (/.f64 x y)) #s(literal 1/2 binary64)) |
(-.f64 (-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64)) (/.f64 x y)) |
(-.f64 (/.f64 (*.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))) (fma.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (fma.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x))) |
(-.f64 (/.f64 (*.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y) (+.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(fma.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (+.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (/.f64 x y)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(fma.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (/.f64 x y)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (/.f64 x y))) x) |
(/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x)))) |
(/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) |
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(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 y x) (*.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 y x)) |
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x)) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))))) |
(/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) y) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal -1/2 binary64) x))) |
| 1× | egg-herbie |
| 8 592× | accelerator-lowering-fma.f32 |
| 8 592× | accelerator-lowering-fma.f64 |
| 2 870× | --lowering--.f32 |
| 2 870× | --lowering--.f64 |
| 2 340× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1089 |
| 1 | 328 | 967 |
| 2 | 961 | 919 |
| 3 | 2830 | 883 |
| 4 | 6322 | 883 |
| 0 | 8094 | 864 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- x 1/2)) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(* x (* y (- 1 (/ 1 y)))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(* -1 (* x (* y (- (/ 1 y) 1)))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(- x 1/2) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(- x 1/2) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
-1/2 |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
-1/2 |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(* -1 (/ x y)) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 y) |
(/ 918938533204673/1000000000000000 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) |
(* 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) |
(* -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))))) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(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 (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(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))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -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 (- x 1/2)) (* -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 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (* y (- 1 (/ 1 y)))) |
(-.f64 (*.f64 x y) x) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (* y (- (/ 1 y) 1)))) |
(-.f64 (*.f64 x y) x) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1))))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2) |
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) |
(/ (- 918938533204673/1000000000000000 x) y) |
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) |
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(/ 918938533204673/1000000000000000 y) |
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) |
(* -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) |
(* 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) |
(* -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) |
(* 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 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))) |
Compiled 14 411 to 1 461 computations (89.9% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 1 | 557 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 558 | 11 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| 48.2% | (fma.f64 y x (neg.f64 x)) | |
| ✓ | 49.3% | (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
| ✓ | 51.8% | (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 52.1% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| 51.7% | (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) | |
| ✓ | 88.5% | (*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
| ✓ | 49.3% | (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
| ✓ | 24.6% | (*.f64 y x) |
| ✓ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 25.8% | (neg.f64 x) |
| ✓ | 28.1% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 256 to 120 computations (53.1% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
(-.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 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) 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 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) |
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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:
| 33.0ms | x |
| 6.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 6.0ms | y |
| 6.0ms | (+.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(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
| Outputs |
|---|
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
4 calls:
| 7.0ms | x |
| 4.0ms | y |
| 4.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 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(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
4 calls:
| 4.0ms | (-.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 |
|---|---|---|
| 97.5% | 3 | x |
| 98.6% | 3 | y |
| 81.2% | 4 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 81.2% | 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(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(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)) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 y x) |
4 calls:
| 5.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| 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 |
|---|---|---|
| 70.4% | 4 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 70.4% | 4 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 78.9% | 4 | x |
| 77.3% | 4 | y |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 y #s(literal -1/2 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 4 | y |
| 60.8% | 5 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 y #s(literal -1/2 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y #s(literal -1/2 binary64)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| Outputs |
|---|
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
4 calls:
| 3.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | y |
| 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 |
|---|---|---|
| 52.1% | 1 | x |
| 52.1% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 52.1% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 52.1% | 1 | y |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
#s(literal 918938533204673/1000000000000000 binary64) |
(neg.f64 x) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 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 | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.2% | 2 | y |
| 50.9% | 3 | x |
| 50.7% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 50.7% | 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 -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
4 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 1.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.1% | 1 | y |
| 28.1% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 28.1% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 28.1% | 1 | x |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.7305043961516486e-7 | 1174375393641911600.0 |
| 11.0ms | -19339663.901525415 | -471844.8655848879 |
| 19.0ms | 288× | 0 | valid |
Compiled 333 to 249 computations (25.2% saved)
const: 4.0ms (32.4% of total)ival-sub: 3.0ms (24.3% of total)ival-mult: 3.0ms (24.3% of total)ival-add: 1.0ms (8.1% 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 |
|---|---|---|
| 17.0ms | 1.7305043961516486e-7 | 1174375393641911600.0 |
| 15.0ms | -19339663.901525415 | -471844.8655848879 |
| 23.0ms | 288× | 0 | valid |
Compiled 322 to 249 computations (22.7% saved)
const: 9.0ms (54.2% of total)ival-sub: 3.0ms (18.1% of total)ival-mult: 3.0ms (18.1% of total)ival-add: 1.0ms (6% 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 |
|---|---|---|
| 22.0ms | 1.7305043961516486e-7 | 1174375393641911600.0 |
| 13.0ms | -2.064181403474551 | -0.00017555946696705405 |
| 25.0ms | 304× | 0 | valid |
Compiled 282 to 224 computations (20.6% saved)
const: 5.0ms (36.7% of total)ival-mult: 4.0ms (29.3% of total)ival-sub: 3.0ms (22% of total)ival-add: 1.0ms (7.3% 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 |
|---|---|---|
| 14.0ms | 3.502091513173893e-6 | 1.8185040698288872 |
| 14.0ms | -9.706729966670433e-6 | -6.736942073369301e-7 |
| 13.0ms | -4.907019999684928e+207 | -1.2290859360985154e+203 |
| 29.0ms | 368× | 0 | valid |
Compiled 307 to 243 computations (20.8% saved)
ival-mult: 8.0ms (39.8% of total)const: 6.0ms (29.9% of total)ival-sub: 4.0ms (19.9% of total)ival-add: 2.0ms (10% 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 |
|---|---|---|
| 17.0ms | 1.7305043961516486e-7 | 1174375393641911600.0 |
| 11.0ms | -19339663.901525415 | -471844.8655848879 |
| 22.0ms | -3.678457950005326e+69 | -5.884527006235427e+65 |
| 37.0ms | 416× | 0 | valid |
Compiled 328 to 267 computations (18.6% saved)
const: 15.0ms (55.7% of total)ival-mult: 5.0ms (18.6% of total)ival-sub: 4.0ms (14.8% of total)ival-add: 2.0ms (7.4% 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 |
|---|---|---|
| 18.0ms | 1.7305043961516486e-7 | 1174375393641911600.0 |
| 39.0ms | -19339663.901525415 | -471844.8655848879 |
| 48.0ms | 288× | 0 | valid |
Compiled 232 to 195 computations (15.9% saved)
const: 5.0ms (38.9% of total)ival-sub: 3.0ms (23.4% of total)ival-mult: 3.0ms (23.4% of total)ival-add: 1.0ms (7.8% 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 |
|---|---|---|
| 14.0ms | 3.502091513173893e-6 | 1.8185040698288872 |
| 19.0ms | -227.37204552675038 | -6.050703710098701e-5 |
| 24.0ms | 288× | 0 | valid |
Compiled 178 to 159 computations (10.7% saved)
const: 5.0ms (38.9% of total)ival-sub: 3.0ms (23.4% of total)ival-mult: 3.0ms (23.4% of total)ival-add: 1.0ms (7.8% 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 |
| 10× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | if-if-or-not_binary32 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 157 |
| 1 | 84 | 157 |
| 2 | 91 | 157 |
| 3 | 94 | 157 |
| 4 | 95 | 157 |
| 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))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -3499999999999999891074558568242233508341000684789079383568192844223495903785123257352198995028398984273999721801314547399190047036349453243946541606993348553131409166924229397243705748370914900334402863104 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -6999999999999999430184127499376542349895867402464508956701525803008 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 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))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) |
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(if (<=.f64 x #s(literal -3499999999999999891074558568242233508341000684789079383568192844223495903785123257352198995028398984273999721801314547399190047036349453243946541606993348553131409166924229397243705748370914900334402863104 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -6999999999999999430184127499376542349895867402464508956701525803008 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))) |
#s(literal 918938533204673/1000000000000000 binary64) |
| 11 900× | accelerator-lowering-fma.f32 |
| 11 900× | accelerator-lowering-fma.f64 |
| 9 400× | accelerator-lowering-fma.f32 |
| 9 400× | accelerator-lowering-fma.f64 |
| 7 498× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 181 |
| 1 | 290 | 165 |
| 2 | 2946 | 165 |
| 0 | 8757 | 143 |
| 0 | 10 | 31 |
| 1 | 64 | 31 |
| 2 | 515 | 31 |
| 3 | 7716 | 31 |
| 0 | 8245 | 28 |
| 0 | 485 | 3583 |
| 1 | 1534 | 3355 |
| 2 | 4885 | 3280 |
| 0 | 8208 | 2931 |
| 0 | 76 | 593 |
| 1 | 232 | 592 |
| 2 | 695 | 520 |
| 3 | 1796 | 520 |
| 4 | 6373 | 520 |
| 0 | 8167 | 501 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 361 to 202 computations (44% saved)
Compiled 370 to 142 computations (61.6% saved)
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