
Time bar (total: 5.8s)
| 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)
| 1.1s | 8 256× | 0 | valid |
const: 417.0ms (44.5% of total)ival-sub: 254.0ms (27.1% of total)ival-mult: 143.0ms (15.3% of total)ival-add: 104.0ms (11.1% of total)exact: 8.0ms (0.9% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 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 |
| 97.0ms | 512× | 0 | valid |
Compiled 89 to 34 computations (61.8% saved)
const: 30.0ms (66.5% of total)ival-mult: 7.0ms (15.5% of total)ival-sub: 5.0ms (11.1% of total)ival-add: 2.0ms (4.4% of total)ival-true: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 376× | lower-fma.f64 |
| 1 376× | lower-fma.f32 |
| 670× | sub-neg |
| 472× | unsub-neg |
| 462× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 61 |
| 1 | 75 | 59 |
| 2 | 196 | 55 |
| 3 | 617 | 49 |
| 4 | 1512 | 45 |
| 5 | 2805 | 45 |
| 6 | 3394 | 45 |
| 7 | 3511 | 45 |
| 8 | 3531 | 45 |
| 9 | 3533 | 45 |
| 10 | 3535 | 45 |
| 11 | 3555 | 45 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 30 | 11 |
| 2 | 58 | 11 |
| 3 | 116 | 9 |
| 4 | 218 | 9 |
| 5 | 447 | 9 |
| 6 | 852 | 9 |
| 7 | 1252 | 9 |
| 8 | 1489 | 9 |
| 9 | 1510 | 9 |
| 0 | 1510 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 1 376× | lower-fma.f64 |
| 1 376× | lower-fma.f32 |
| 352× | lower-+.f32 |
| 352× | lower--.f32 |
| 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 15 | 36 |
| 1 | 30 | 36 |
| 2 | 58 | 36 |
| 3 | 116 | 32 |
| 4 | 218 | 32 |
| 5 | 447 | 32 |
| 6 | 852 | 32 |
| 7 | 1252 | 32 |
| 8 | 1489 | 32 |
| 9 | 1510 | 32 |
| 0 | 1510 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 55.0ms | 256× | 0 | valid |
Compiled 38 to 12 computations (68.4% saved)
const: 4.0ms (30.2% of total)ival-sub: 3.0ms (22.6% of total)ival-add: 3.0ms (22.6% of total)ival-mult: 3.0ms (22.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | y | @ | -inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | y | @ | inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | y | @ | 0 | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | x | @ | 0 | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1× | egg-herbie |
| 11 900× | lower-fma.f64 |
| 11 900× | lower-fma.f32 |
| 3 162× | lower-*.f64 |
| 3 162× | lower-*.f32 |
| 1 298× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 582 |
| 1 | 232 | 520 |
| 2 | 695 | 520 |
| 3 | 1797 | 520 |
| 4 | 6379 | 520 |
| 0 | 8166 | 501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ 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)))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 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)) |
(* 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)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* -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))))) |
(* -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 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x 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) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 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 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* 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)) |
(* 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)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 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))))) |
(* 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))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ (* -1 x) (* y (- x 1/2))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ (* -1 x) (* y (- x 1/2))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 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)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
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)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
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 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- (* x (- y 1)) (* 1/2 y)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(- (* x (- y 1)) (* 1/2 y)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(- (* x (- y 1)) (* 1/2 y)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
| 7 498× | lower-fma.f64 |
| 7 498× | lower-fma.f32 |
| 4 788× | lower-*.f32 |
| 4 784× | lower-*.f64 |
| 3 354× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 69 | 31 |
| 2 | 520 | 31 |
| 3 | 7720 | 31 |
| 0 | 8249 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) y))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) y (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) x (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) x (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)) x (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) x (*.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))) |
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
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(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y #s(literal 1/2 binary64)) |
Compiled 15 602 to 1 354 computations (91.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 6 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 473 | 6 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) | |
| ▶ | 46.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 100.0% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
| ▶ | 49.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ▶ | 54.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
| ▶ | 52.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
Compiled 102 to 68 computations (33.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) | |
| cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
| 1 376× | lower-fma.f32 |
| 1 372× | lower-fma.f64 |
| 352× | lower-+.f64 |
| 352× | lower-+.f32 |
| 352× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 140 |
| 0 | 36 | 140 |
| 1 | 65 | 135 |
| 2 | 112 | 135 |
| 3 | 247 | 125 |
| 4 | 546 | 125 |
| 5 | 1071 | 125 |
| 6 | 1439 | 125 |
| 7 | 1618 | 125 |
| 8 | 1634 | 125 |
| 0 | 1634 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| accuracy | 29.347603254992556 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| accuracy | 30.42967743816861 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 34.1390348176367 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) | |
| accuracy | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| accuracy | 32.40230612776942 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) | |
| accuracy | 0 | (-.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
| 44.0ms | 256× | 0 | valid |
Compiled 115 to 23 computations (80% saved)
ival-sub: 11.0ms (39% of total)ival-mult: 9.0ms (31.9% of total)const: 4.0ms (14.2% of total)ival-add: 3.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) x) (patch (-.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (- 918938533204673/1000000000000000 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/2 binary64)) (patch (-.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1)) |
| 1.0ms | y | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1)) |
| 1.0ms | x | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1)) |
| 1.0ms | y | @ | 0 | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1)) |
| 1.0ms | y | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1)) |
| 1× | egg-herbie |
| 9 276× | lower-fma.f64 |
| 9 276× | lower-fma.f32 |
| 2 772× | lower-*.f64 |
| 2 772× | lower-*.f32 |
| 1 196× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1726 |
| 1 | 430 | 1693 |
| 2 | 1219 | 1693 |
| 3 | 3526 | 1693 |
| 4 | 6561 | 1693 |
| 0 | 8057 | 1552 |
| 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)))) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
x |
(+ x (* y (- 1/2 x))) |
(+ x (* y (- 1/2 x))) |
(+ x (* y (- 1/2 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)))) |
(+ 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)))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 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 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(+ 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)))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
(* 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)) |
(* 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 (- 1/2 x)) |
(* y (- (+ 1/2 (/ x y)) x)) |
(* y (- (+ 1/2 (/ x y)) x)) |
(* y (- (+ 1/2 (/ x y)) x)) |
(* 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)) |
(* 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)) |
(* -1/2 y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 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)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* 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)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* 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))))) |
(* y (- 1/2 x)) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1/2 y) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -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 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- 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)) |
(* 1/2 y) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
1/2 |
(+ 1/2 (* -1 x)) |
(+ 1/2 (* -1 x)) |
(+ 1/2 (* -1 x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- 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)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
(- 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 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* 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))))) |
(* -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)))))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 x) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(* 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))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* 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)) |
(* 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) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* 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)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 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 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 1/2 (/ 1 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))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 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))))) |
(* 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))))) |
(* 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))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 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))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
x |
(+ x (* y (- 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(+ x (* y (- 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(+ x (* y (- 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 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 (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- 1/2 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (+ 1/2 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* y (- (+ 1/2 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* y (- (+ 1/2 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
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)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (- 1/2 x))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- 1/2 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
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(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
| 4 478× | lower-/.f64 |
| 4 478× | lower-/.f32 |
| 4 284× | lower-fma.f32 |
| 4 280× | lower-fma.f64 |
| 3 438× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 125 |
| 0 | 36 | 125 |
| 1 | 164 | 120 |
| 2 | 1309 | 120 |
| 0 | 8263 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(*.f64 (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) x))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (neg.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 x x (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y)) x))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)))) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))))))) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 #s(literal 1/2 binary64) x))) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 918938533204673/1000000000000000 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))))) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 918938533204673/1000000000000000 binary64))))) |
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(-.f64 x #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))) |
(+.f64 #s(literal -1/2 binary64) x) |
(+.f64 x #s(literal -1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x x)) (-.f64 (*.f64 y x) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) (*.f64 x x))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (neg.f64 (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 x y (*.f64 x #s(literal -1 binary64))) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 y x) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #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))))) (+.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 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 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 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y 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 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.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 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
Compiled 12 151 to 1 201 computations (90.1% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 6 | 654 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 651 | 9 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) | |
| ▶ | 54.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 46.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
| ▶ | 27.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
| ▶ | 29.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ▶ | 21.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
Compiled 105 to 58 computations (44.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- x 1/2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (- y 1) x) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 y x (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| 1 424× | lower-fma.f32 |
| 1 422× | lower-fma.f64 |
| 384× | lower-*.f32 |
| 380× | lower-*.f64 |
| 368× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 144 |
| 0 | 31 | 144 |
| 1 | 55 | 144 |
| 2 | 87 | 144 |
| 3 | 170 | 134 |
| 4 | 403 | 134 |
| 5 | 784 | 134 |
| 6 | 1243 | 134 |
| 7 | 1563 | 134 |
| 8 | 1630 | 134 |
| 9 | 1634 | 134 |
| 10 | 1636 | 134 |
| 11 | 1639 | 134 |
| 12 | 1641 | 134 |
| 0 | 1641 | 129 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
(fma.f64 y x (neg.f64 x)) |
y |
x |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (* (- y 1) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
y |
x |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (* (- y 1) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) | |
| accuracy | 30.42967743816861 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) | |
| accuracy | 34.12636336476018 | #s(approx (- x 1/2) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 29.347603254992556 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) | |
| accuracy | 30.224504308432937 | #s(approx (* (- y 1) x) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 29.233461698410125 | #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) | |
| accuracy | 32.40230612776942 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) | |
| accuracy | 32.40230612776942 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) | |
| accuracy | 34.105744292326705 | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 0 | (fma.f64 y x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 29.347603254992556 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| 33.0ms | 256× | 0 | valid |
Compiled 97 to 20 computations (79.4% saved)
ival-mult: 8.0ms (37.3% of total)ival-sub: 5.0ms (23.3% of total)const: 4.0ms (18.6% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 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 |
|---|
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (patch #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (patch #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y 1) x) (*.f64 y x)) (patch #s(approx (* (- y 1) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (* (- y 1) x) (*.f64 y x)) (patch #s(approx (* (- y 1) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (* (- y 1) x) (*.f64 y x)) (patch #s(approx (* (- y 1) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (* (- y 1) x) (*.f64 y x)) (patch #s(approx (* (- y 1) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt #s(approx (* (- y 1) x) (*.f64 y x)) (patch #s(approx (* (- y 1) x) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) (patch (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1/2) #s(literal -1/2 binary64)) (patch #s(approx (- x 1/2) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (neg x)) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2)) |
| 1.0ms | y | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (neg x)) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2)) |
| 1.0ms | x | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (neg x)) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2)) |
| 1.0ms | y | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (neg x)) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2)) |
| 1.0ms | y | @ | 0 | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (neg x)) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2)) |
| 1× | egg-herbie |
| 10 848× | lower-fma.f64 |
| 10 848× | lower-fma.f32 |
| 2 266× | lower-*.f64 |
| 2 266× | lower-*.f32 |
| 1 506× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1593 |
| 1 | 258 | 1480 |
| 2 | 747 | 1480 |
| 3 | 2172 | 1480 |
| 4 | 6038 | 1480 |
| 5 | 7940 | 1480 |
| 0 | 8283 | 1385 |
| 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)))) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x 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)))) |
(+ 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)))) |
(+ 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)))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ 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 1/2)) |
(* y (- x 1/2)) |
(* 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)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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)) |
(* 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 (/ (+ 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 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* 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 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(- 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 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
(* 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)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* 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))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* 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)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 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))))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 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))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 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))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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))))) |
(* 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))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(- (* x y) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(- (* x y) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(- (* x y) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
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(-.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) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.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) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.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) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
| 11 168× | lower-fma.f32 |
| 11 166× | lower-fma.f64 |
| 4 718× | lower-*.f32 |
| 4 714× | lower-*.f64 |
| 3 196× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 31 | 134 |
| 1 | 128 | 134 |
| 2 | 918 | 122 |
| 0 | 9633 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
(fma.f64 y x (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (* (- y 1) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x x)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y x x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))))) |
(*.f64 (/.f64 (fma.f64 y x x) (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y x x) x)) |
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x)) |
(*.f64 (-.f64 y #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) x)) |
(*.f64 #s(literal -1 binary64) (fma.f64 y x x)) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) x)) |
(*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(*.f64 (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))) (*.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))))) |
(*.f64 (fma.f64 y x x) (*.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 x (-.f64 #s(literal -1 binary64) y)) |
(*.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 x (-.f64 y #s(literal -1 binary64))) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 1 binary64)) (fma.f64 y x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))) (fma.f64 y x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 y x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y x x) x))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y))) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y x x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 x (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(neg.f64 (fma.f64 y x x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) x) (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (/.f64 (*.f64 y x) x) (/.f64 (*.f64 y x) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x) |
(fma.f64 #s(literal -1 binary64) x (*.f64 y x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 y x x) |
(fma.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(fma.f64 x (neg.f64 y) x) |
(fma.f64 x #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x x))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64))))) |
(-.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(-.f64 (*.f64 y x) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 y x x))) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) x) |
(/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (- 918938533204673/1000000000000000 x) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (* (- y 1) x) (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x (neg.f64 y)) |
(*.f64 x y) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 0 binary64)) (*.f64 y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) x (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) y) x) |
(neg.f64 (*.f64 y x)) |
(fma.f64 (neg.f64 y) x #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) y (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 y x)) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 x y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(-.f64 (*.f64 y x) #s(literal 0 binary64)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y x)) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(literal 0 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- x 1/2) #s(literal -1/2 binary64)))) |
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
Compiled 3 944 to 286 computations (92.7% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 1 | 441 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 440 | 10 | 450 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 54.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 46.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | 27.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
| ✓ | 29.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ▶ | 2.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
| ✓ | 21.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
Compiled 68 to 38 computations (44.1% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 192 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) x) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
| 1 376× | lower-fma.f32 |
| 1 374× | lower-fma.f64 |
| 352× | lower-+.f64 |
| 352× | lower--.f64 |
| 352× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 53 |
| 0 | 20 | 53 |
| 1 | 40 | 51 |
| 2 | 69 | 49 |
| 3 | 127 | 47 |
| 4 | 261 | 47 |
| 5 | 522 | 47 |
| 6 | 960 | 47 |
| 7 | 1263 | 47 |
| 8 | 1449 | 47 |
| 9 | 1456 | 47 |
| 0 | 1456 | 45 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (- 918938533204673/1000000000000000 x) x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
y |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (- 918938533204673/1000000000000000 x) x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
y |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 30.42967743816861 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 32.40230612776942 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) | |
| accuracy | 62.6528731464618 | #s(approx (- 918938533204673/1000000000000000 x) x) |
| 31.0ms | 256× | 0 | valid |
Compiled 41 to 17 computations (58.5% saved)
ival-sub: 7.0ms (32.2% of total)ival-mult: 6.0ms (27.6% of total)const: 5.0ms (23% of total)ival-add: 2.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 918938533204673/1000000000000000 x) x) (patch #s(approx (- 918938533204673/1000000000000000 x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 918938533204673/1000000000000000 x) x) (patch #s(approx (- 918938533204673/1000000000000000 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* -1/2 y)) |
| 1.0ms | y | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* -1/2 y)) |
| 1.0ms | x | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* -1/2 y)) |
| 1.0ms | y | @ | 0 | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* -1/2 y)) |
| 0.0ms | x | @ | 0 | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* -1/2 y)) |
| 1× | egg-herbie |
| 8 952× | lower-fma.f64 |
| 8 952× | lower-fma.f32 |
| 2 086× | lower-*.f64 |
| 2 086× | lower-*.f32 |
| 1 692× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 609 |
| 1 | 203 | 562 |
| 2 | 589 | 562 |
| 3 | 1604 | 562 |
| 4 | 5336 | 562 |
| 5 | 7855 | 562 |
| 0 | 8328 | 524 |
| 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 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(+ 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)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* 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)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* 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)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -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 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- 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)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* 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))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 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))))) |
(* 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))))) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- 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)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(- 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)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.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) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.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) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 9 138× | lower-fma.f32 |
| 9 136× | lower-fma.f64 |
| 5 218× | lower-*.f32 |
| 5 216× | lower-*.f64 |
| 3 614× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 49 |
| 0 | 20 | 49 |
| 1 | 101 | 47 |
| 2 | 814 | 45 |
| 0 | 8524 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (- 918938533204673/1000000000000000 x) x) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) y) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (- 918938533204673/1000000000000000 x) x) |
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64))) (-.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(*.f64 y (+.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 y y) x)) x (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (*.f64 y y) x) x)))) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) y) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) y) y))) (*.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 y) (-.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (neg.f64 y) (-.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) y (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) y) (/.f64 y (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 y x) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 x x) y) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y x)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) |
(-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) y) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) y) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) y)) |
Compiled 2 361 to 229 computations (90.3% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 173 | 0 | 173 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 173 | 10 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 54.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| ✓ | 46.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 49.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 52.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | 27.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
| ✓ | 29.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ✓ | 2.5% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
| ✓ | 21.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| ✓ | 26.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
Compiled 153 to 63 computations (58.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
4 calls:
| 6.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
4 calls:
| 25.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 4.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 98.4% | 3 | y |
| 80.0% | 5 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 80.0% | 5 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
2 calls:
| 4.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 5 | x |
| 76.9% | 4 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
4 calls:
| 4.0ms | y |
| 3.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 3.0ms | x |
| 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 |
|---|---|---|
| 76.9% | 4 | y |
| 63.3% | 4 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 63.3% | 4 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 62.0% | 5 | x |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
4 calls:
| 4.0ms | x |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | y |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 1 | x |
| 49.4% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 49.4% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 49.4% | 1 | y |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 3 | x |
| 29.5% | 1 | y |
| 47.9% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 47.9% | 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 -12.7b remaining (-25.2%)
Threshold costs -12.7b (-25.2%)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) x)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
4 calls:
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.6% | 1 | y |
| 21.6% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 21.6% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 21.6% | 1 | x |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.7003580823929396 | 85.36910860856587 |
| 18.0ms | -1164762192.437463 | -8.444911387713353e-5 |
| 18.0ms | 272× | 0 | valid |
Compiled 295 to 202 computations (31.5% saved)
const: 5.0ms (39.5% of total)ival-sub: 3.0ms (23.7% of total)ival-mult: 3.0ms (23.7% of total)ival-add: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.7003580823929396 | 85.36910860856587 |
| 1.0ms | -1164762192.437463 | -8.444911387713353e-5 |
Compiled 288 to 202 computations (29.9% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.8509400181460303e+241 | 3.8938969893115514e+245 |
| 12.0ms | 5.913248353638036e+41 | 1.0149155614380087e+43 |
| 15.0ms | 2.098386402953174e-8 | 0.0016654131914302897 |
| 20.0ms | -7587583.651110935 | -2.695292322027469e-5 |
| 41.0ms | 544× | 0 | valid |
Compiled 526 to 351 computations (33.3% saved)
const: 13.0ms (46% of total)ival-mult: 6.0ms (21.2% of total)ival-sub: 5.0ms (17.7% of total)ival-add: 2.0ms (7.1% of total)exact: 1.0ms (3.5% of total)ival-true: 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 |
|---|---|---|
| 13.0ms | 2.0645922403652666e+250 | 2.812927723892111e+252 |
| 1.0ms | 0.7003580823929396 | 85.36910860856587 |
| 16.0ms | -485644447010058.06 | -1164762192.437463 |
| 20.0ms | 256× | 0 | valid |
Compiled 368 to 231 computations (37.2% saved)
ival-sub: 4.0ms (30.1% of total)const: 4.0ms (30.1% of total)ival-mult: 3.0ms (22.6% of total)ival-add: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.7003580823929396 | 85.36910860856587 |
| 13.0ms | -1164762192.437463 | -8.444911387713353e-5 |
| 9.0ms | 112× | 0 | valid |
Compiled 271 to 168 computations (38% saved)
const: 3.0ms (48.1% of total)ival-sub: 1.0ms (16% of total)ival-add: 1.0ms (16% of total)ival-mult: 1.0ms (16% 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 | 0.0016654131914302897 | 15.469636188119162 |
| 13.0ms | -7587583.651110935 | -2.695292322027469e-5 |
| 18.0ms | 256× | 0 | valid |
Compiled 250 to 159 computations (36.4% saved)
ival-sub: 4.0ms (32% of total)const: 4.0ms (32% of total)ival-mult: 3.0ms (24% of total)ival-add: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 480 |
| 1 | 92 | 480 |
| 2 | 102 | 480 |
| 3 | 107 | 480 |
| 4 | 109 | 480 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))) |
(if (<=.f64 x #s(literal -8854437155380585/147573952589676412928 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 4061235175267895/18889465931478580854784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 660000000000000007960619680035950267727872 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 1200000000000000013774143304177481455488090275060406130893003725617936832788933789309810169829502790814452531497902124453602385955636025096506475574664236622140356764878769789784116297414605669887430338642988762145831184565099950802812679487488 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))) |
(if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 619999999999999963798264723720523244423946486497458719782134349416520220682753127681798801192531409757398498153596771459040586585199313252583021702059511575377436568995879899668890632991125314258487526675959057110390978699316462280824849686205093117952 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))))) |
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))) |
(if (<=.f64 x #s(literal -8854437155380585/147573952589676412928 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 4061235175267895/18889465931478580854784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 660000000000000007960619680035950267727872 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 1200000000000000013774143304177481455488090275060406130893003725617936832788933789309810169829502790814452531497902124453602385955636025096506475574664236622140356764878769789784116297414605669887430338642988762145831184565099950802812679487488 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))) |
(if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 619999999999999963798264723720523244423946486497458719782134349416520220682753127681798801192531409757398498153596771459040586585199313252583021702059511575377436568995879899668890632991125314258487526675959057110390978699316462280824849686205093117952 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))))) |
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))) (if (<=.f64 y #s(literal 3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- y 1) x) (*.f64 y x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| 11 900× | lower-fma.f64 |
| 11 900× | lower-fma.f32 |
| 9 276× | lower-fma.f64 |
| 9 276× | lower-fma.f32 |
| 4 478× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 582 |
| 1 | 232 | 520 |
| 2 | 695 | 520 |
| 3 | 1797 | 520 |
| 4 | 6379 | 520 |
| 0 | 8166 | 501 |
| 0 | 132 | 1726 |
| 1 | 430 | 1693 |
| 2 | 1219 | 1693 |
| 3 | 3526 | 1693 |
| 4 | 6561 | 1693 |
| 0 | 8057 | 1552 |
| 0 | 25 | 125 |
| 0 | 36 | 125 |
| 1 | 164 | 120 |
| 2 | 1309 | 120 |
| 0 | 8263 | 115 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 316 to 160 computations (49.4% saved)
Compiled 380 to 126 computations (66.8% saved)
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