
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 789.0ms | 7 941× | 0 | valid |
| 13.0ms | 103× | 2 | valid |
| 13.0ms | 143× | 1 | valid |
| 12.0ms | 69× | 3 | valid |
ival-sub: 176.0ms (43.6% of total)ival-add: 72.0ms (17.8% of total)ival-fabs: 69.0ms (17.1% of total)ival-div: 64.0ms (15.9% of total)adjust: 9.0ms (2.2% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 y x)) |
| 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 |
| 31.0ms | 498× | 0 | valid |
| 2.0ms | 10× | 2 | valid |
| 0.0ms | 4× | 1 | valid |
Compiled 62 to 25 computations (59.7% saved)
ival-sub: 9.0ms (46.6% of total)ival-div: 4.0ms (20.7% of total)ival-fabs: 3.0ms (15.5% of total)ival-add: 2.0ms (10.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 96× | lower-fma.f64 |
| 96× | lower-fma.f32 |
| 56× | lower-*.f64 |
| 56× | lower-*.f32 |
| 47× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 46 | 40 |
| 2 | 127 | 40 |
| 3 | 248 | 40 |
| 4 | 352 | 40 |
| 5 | 419 | 40 |
| 6 | 463 | 40 |
| 7 | 501 | 40 |
| 8 | 513 | 40 |
| 9 | 518 | 40 |
| 10 | 521 | 40 |
| 11 | 523 | 40 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 23 | 8 |
| 3 | 31 | 8 |
| 4 | 50 | 8 |
| 5 | 97 | 8 |
| 6 | 155 | 8 |
| 7 | 184 | 8 |
| 8 | 229 | 8 |
| 9 | 265 | 8 |
| 10 | 301 | 8 |
| 11 | 313 | 8 |
| 12 | 319 | 8 |
| 13 | 322 | 8 |
| 14 | 324 | 8 |
| 0 | 324 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
Compiled 10 to 7 computations (30% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 128 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
| 96× | lower-fma.f64 |
| 96× | lower-fma.f32 |
| 56× | lower-*.f64 |
| 56× | lower-*.f32 |
| 32× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 16 | 24 |
| 2 | 23 | 24 |
| 3 | 31 | 24 |
| 4 | 50 | 24 |
| 5 | 97 | 24 |
| 6 | 155 | 24 |
| 7 | 184 | 24 |
| 8 | 229 | 24 |
| 9 | 265 | 24 |
| 10 | 301 | 24 |
| 11 | 313 | 24 |
| 12 | 319 | 24 |
| 13 | 322 | 24 |
| 14 | 324 | 24 |
| 0 | 324 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
x |
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
x |
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.0546875 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 12.0ms | 249× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 26 to 9 computations (65.4% saved)
ival-div: 2.0ms (30.8% of total)ival-sub: 2.0ms (30.8% of total)ival-add: 1.0ms (15.4% of total)ival-fabs: 1.0ms (15.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | (/ (fabs (- y x)) 2) |
| 0.0ms | x | @ | inf | (+ x (/ (fabs (- y x)) 2)) |
| 0.0ms | y | @ | -inf | (/ (fabs (- y x)) 2) |
| 0.0ms | y | @ | inf | (/ (fabs (- y x)) 2) |
| 0.0ms | x | @ | -inf | (/ (fabs (- y x)) 2) |
| 1× | egg-herbie |
| 1 566× | lower-/.f32 |
| 1 566× | lower-/.f64 |
| 1 260× | lower-fma.f64 |
| 1 260× | lower-fma.f32 |
| 1 111× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 479 |
| 1 | 115 | 479 |
| 2 | 264 | 479 |
| 3 | 775 | 479 |
| 4 | 2426 | 479 |
| 5 | 3227 | 479 |
| 6 | 4255 | 479 |
| 7 | 5098 | 479 |
| 8 | 5671 | 479 |
| 9 | 6159 | 479 |
| 10 | 7875 | 479 |
| 0 | 8354 | 458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
| Outputs |
|---|
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
| 2 453× | lower-fma.f64 |
| 2 453× | lower-fma.f32 |
| 2 202× | lower-*.f64 |
| 2 202× | lower-*.f32 |
| 1 103× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5345 | 21 |
| 0 | 8350 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
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(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (fabs.f64 (+.f64 x y))) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(neg.f64 (neg.f64 (fabs.f64 (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) |
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) x)) (*.f64 (+.f64 x y) x)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(*.f64 #s(literal -1 binary64) (-.f64 x y)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (-.f64 y x)) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y)))) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 x y) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y)) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x y) x (*.f64 y y))) |
(neg.f64 (-.f64 x y)) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) x)) (*.f64 (+.f64 x y) x)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 x #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) |
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) |
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 7 708 to 909 computations (88.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 8 | 330 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 8 | 331 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 47.6% | (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
| ▶ | 99.4% | (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| 65.2% | (+.f64 x (/.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64))) | |
| 99.8% | (+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 2 binary64))) | |
| 99.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) | |
| ▶ | 47.5% | (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
| ▶ | 53.0% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
Compiled 284 to 166 computations (41.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) | |
| cost-diff | 128 | (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) | |
| cost-diff | 7104 | (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) | |
| cost-diff | 448 | (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 5 889× | lower-fma.f32 |
| 5 884× | lower-fma.f64 |
| 1 603× | lower-*.f32 |
| 1 597× | lower-*.f64 |
| 801× | lower--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 235 |
| 0 | 54 | 221 |
| 1 | 88 | 221 |
| 2 | 142 | 221 |
| 3 | 388 | 221 |
| 4 | 1276 | 220 |
| 5 | 4397 | 220 |
| 0 | 8333 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal -1/4 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
#s(literal -1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) |
#s(literal 1/4 binary64) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
x |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 y x) (-.f64 y x)) |
(-.f64 x y) |
x |
y |
#s(literal -1/4 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal -1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x))) |
#s(literal 1/4 binary64) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 y x) (-.f64 y x)) |
(-.f64 x y) |
x |
y |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
x |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
y |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.01171875 | (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0546875 | (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.5 | (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) | |
| accuracy | 0.109375 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) | |
| accuracy | 16.60144897066134 | (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) | |
| accuracy | 32.36001225562556 | (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x y) (-.f64 x y)) | |
| accuracy | 0.0390625 | (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 14.519502351622888 | (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| accuracy | 32.30141850562556 | (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 30.098924731691373 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.0546875 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 62.0ms | 228× | 0 | valid |
| 32.0ms | 13× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 240 to 36 computations (85% saved)
ival-mult: 38.0ms (55.3% of total)ival-add: 9.0ms (13.1% of total)ival-div: 6.0ms (8.7% of total)adjust: 3.0ms (4.4% of total)ival-pow2: 3.0ms (4.4% of total)ival-fabs: 3.0ms (4.4% of total)ival-sub: 3.0ms (4.4% of total)ival-sqrt: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (patch (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (-.f64 x y)) (patch (*.f64 (-.f64 x y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (patch (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) |
| 2.0ms | y | @ | inf | (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) |
| 1.0ms | x | @ | inf | (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) |
| 1.0ms | x | @ | 0 | (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) |
| 1.0ms | y | @ | -inf | (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) |
| 1× | egg-herbie |
| 4 761× | lower-fma.f64 |
| 4 761× | lower-fma.f32 |
| 2 796× | lower-*.f64 |
| 2 796× | lower-*.f32 |
| 1 823× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 5130 |
| 1 | 1547 | 4981 |
| 2 | 4052 | 4847 |
| 0 | 8326 | 4525 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* 3/4 x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/4 x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* -1/4 (pow y 2)) |
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) |
(* 3/4 (pow x 2)) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))) |
(* 3/4 (pow x 2)) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(* -1/4 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(* -1/4 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4)) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(pow x 2) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* 3/4 x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/4 x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x)) |
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))))) |
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))) |
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))) |
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x))) |
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) |
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))) |
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))) |
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) |
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(/ 2 (fabs (- x y))) |
(+ (* 4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (+ (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (+ (* x (+ (* 16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ -1 x) |
(/ (- (* -1/2 (/ (fabs (- x y)) x)) 1) x) |
(/ (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ (- (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ 1 (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(* 1/4 (pow y 2)) |
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
(* -3/4 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(* -3/4 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))) |
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))) |
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)) |
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)) |
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)) |
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
x |
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x))) |
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x))) |
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* -1/2 (fabs (- x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (- x y)))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(* 1/2 (fabs (- x y))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(* -1 x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (- x y))) x) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
| Outputs |
|---|
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(* -1/2 (fabs (- x y))) |
(*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
x |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(+ x (* -1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(+ (* -1 x) (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (- x y))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
(- (* 1/2 (fabs (+ x (* -1 y)))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) |
| 3 874× | lower-fma.f32 |
| 3 869× | lower-fma.f64 |
| 2 259× | lower-/.f32 |
| 2 257× | lower-/.f64 |
| 2 208× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 172 |
| 0 | 54 | 136 |
| 1 | 239 | 136 |
| 2 | 1797 | 136 |
| 0 | 9529 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) |
(*.f64 (-.f64 x y) (-.f64 x y)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
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(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (fabs.f64 (-.f64 y x)))) (neg.f64 x)) |
(fma.f64 (exp.f64 (log.f64 (fabs.f64 (-.f64 y x)))) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x)) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (neg.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 x x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 x x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (neg.f64 x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) |
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
Compiled 78 837 to 4 556 computations (94.2% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 707 | 11 | 2 718 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 714 | 12 | 2 726 |
| Status | Accuracy | Program |
|---|---|---|
| 68.4% | (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x) | |
| 99.4% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) | |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 89.2% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| ▶ | 58.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 48.0% | (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| 27.9% | (/.f64 #s(approx (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| ▶ | 27.9% | (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
| 23.3% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) | |
| ▶ | 11.3% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| ▶ | 99.8% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
| 49.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
Compiled 343 to 194 computations (43.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) | |
| cost-diff | 192 | (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) | |
| cost-diff | 0 | #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal 3/4 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) | |
| cost-diff | 1024 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
| 4 393× | lower-fma.f32 |
| 4 389× | lower-fma.f64 |
| 1 330× | lower-*.f32 |
| 1 325× | lower-*.f64 |
| 963× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 256 |
| 0 | 74 | 268 |
| 1 | 122 | 264 |
| 2 | 197 | 235 |
| 3 | 448 | 232 |
| 4 | 1486 | 223 |
| 5 | 3900 | 223 |
| 6 | 7069 | 223 |
| 0 | 8177 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
#s(literal 3/4 binary64) |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -3/4 binary64) (*.f64 x x)) |
#s(literal -3/4 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
y |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
#s(literal 3/4 binary64) |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
x |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (-.f64 x y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
(fabs.f64 #s(approx (- x y) (-.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (- x y) (-.f64 x y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(/.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) |
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) |
(*.f64 #s(literal -3/4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
y |
(neg.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) | |
| accuracy | 0.125 | (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) | |
| accuracy | 28.769781784040887 | #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) | |
| accuracy | 32.36001225562556 | (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) | |
| accuracy | 0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) | |
| accuracy | 0 | #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) | |
| accuracy | 0.0546875 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) | |
| accuracy | 6.864366844740262 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 0.0546875 | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| accuracy | 32.140704582495296 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0 | (*.f64 #s(literal 3/4 binary64) x) | |
| accuracy | 56.79078773712928 | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) | |
| accuracy | 0.0546875 | (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) | |
| accuracy | 0.109375 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
| 110.0ms | 228× | 0 | valid |
| 9.0ms | 13× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 203 to 40 computations (80.3% saved)
ival-mult: 81.0ms (75.2% of total)ival-div: 8.0ms (7.4% of total)ival-add: 8.0ms (7.4% of total)adjust: 3.0ms (2.8% of total)ival-sub: 3.0ms (2.8% of total)ival-fabs: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (patch #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) (patch (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (patch #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* 3/4 x) |
| 0.0ms | x | @ | -inf | (* (- 1 (/ y x)) x) |
| 0.0ms | x | @ | 0 | (* (- 1 (/ y x)) x) |
| 0.0ms | x | @ | inf | (* (- 1 (/ y x)) x) |
| 0.0ms | y | @ | inf | (* (- 1 (/ y x)) x) |
| 1× | egg-herbie |
| 5 432× | lower-fma.f64 |
| 5 432× | lower-fma.f32 |
| 2 392× | lower-*.f64 |
| 2 392× | lower-*.f32 |
| 2 112× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 4275 |
| 1 | 1153 | 4107 |
| 2 | 3277 | 3911 |
| 0 | 8484 | 3653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
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(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))) |
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x))))))) |
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(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) |
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))) |
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))))) |
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) |
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x))))) |
(/ 2 (fabs (- x y))) |
(+ (* 4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (+ (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(+ (* x (+ (* x (+ (* 16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y))))) |
(/ -1 x) |
(/ (- (* -1/2 (/ (fabs (- x y)) x)) 1) x) |
(/ (- (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) x) |
(/ (- (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3))) (+ 1 (+ (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (- x y))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) |
(* 1/4 (pow y 2)) |
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y)))) |
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(* -3/4 (pow x 2)) |
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(+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) |
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(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
(* -3/4 (pow x 2)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (fabs.f64 (-.f64 x y))) #s(literal 2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 x y)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (fabs.f64 (-.f64 x y))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y)))) (/.f64 x (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (neg.f64 (fabs.f64 (-.f64 x y))))) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 x y)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 3/4 binary64))) x) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (*.f64 x x) x)) (/.f64 y x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 3/4 binary64))) x) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (fma.f64 y #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64)))) (fabs.f64 (-.f64 x y)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) x))) x) #s(literal 3/4 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (fma.f64 y #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))))))) x))) x) #s(literal 3/4 binary64)) x) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) y)) #s(literal 1/2 binary64) (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 y y))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))) y) y) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
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(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -3/4 binary64))) x) x) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -3/4 binary64))) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(*.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (*.f64 y #s(literal 1/2 binary64))) x)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)) |
(*.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (*.f64 y #s(literal 1/2 binary64))) x)) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -3/4 binary64) x (*.f64 #s(literal -1/2 binary64) y)) x) |
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal -1/2 binary64) x)) y (*.f64 (*.f64 #s(literal -3/4 binary64) x) x)) |
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal -1/2 binary64) x)) y (*.f64 (*.f64 #s(literal -3/4 binary64) x) x)) |
(* 1/4 (pow y 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) y) y) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -3/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) y) y) |
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -3/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) y) y) |
(* 1/4 (pow y 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) y) y) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 y y)) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(* -3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
| 3 598× | lower-fma.f32 |
| 3 594× | lower-fma.f64 |
| 2 066× | lower-*.f32 |
| 2 061× | lower-*.f64 |
| 2 029× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 205 |
| 0 | 74 | 197 |
| 1 | 271 | 195 |
| 2 | 1914 | 182 |
| 0 | 8771 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fabs.f64 (-.f64 x y)) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) |
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -3/4 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) (neg.f64 (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))) (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))))) |
(/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) |
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) |
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(*.f64 #s(literal -3/4 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -3/4 binary64) x)) |
Compiled 12 451 to 928 computations (92.5% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 639 | 2 | 641 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 641 | 12 | 653 |
| Status | Accuracy | Program |
|---|---|---|
| 68.4% | (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x) | |
| ▶ | 99.4% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 87.4% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
| ✓ | 89.2% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| ✓ | 58.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 48.0% | (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| ▶ | 23.3% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
| ✓ | 11.3% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| ▶ | 61.9% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
| ✓ | 99.8% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
| ▶ | 49.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
Compiled 286 to 155 computations (45.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 x (fabs.f64 (-.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) | |
| cost-diff | 1024 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) | |
| cost-diff | 0 | (*.f64 y #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) | |
| cost-diff | 2240 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
| 4 273× | lower-fma.f32 |
| 4 270× | lower-fma.f64 |
| 2 053× | lower-*.f32 |
| 2 047× | lower-*.f64 |
| 931× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 251 |
| 0 | 73 | 236 |
| 1 | 113 | 236 |
| 2 | 162 | 236 |
| 3 | 279 | 233 |
| 4 | 742 | 221 |
| 5 | 1903 | 221 |
| 6 | 4746 | 221 |
| 0 | 8141 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 x (fabs.f64 (-.f64 y x))) |
(*.f64 (fabs.f64 (-.f64 x y)) x) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (-.f64 x y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
(fabs.f64 #s(approx (- x y) (-.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (- x y) (-.f64 x y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 x y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) | |
| accuracy | 0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0546875 | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) | |
| accuracy | 7.822427283342728 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0 | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) | |
| accuracy | 0.0078125 | (*.f64 x (fabs.f64 (-.f64 y x))) | |
| accuracy | 24.407826338733155 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) | |
| accuracy | 0 | (*.f64 y #s(literal 1/2 binary64)) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 21.14753334475249 | (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) | |
| accuracy | 31.845409233044574 | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (fabs.f64 #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 30.098924731691373 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) | |
| accuracy | 32.140704582495296 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.01171875 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) | |
| accuracy | 0.3984375 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
| 120.0ms | 235× | 0 | valid |
| 9.0ms | 12× | 2 | valid |
| 4.0ms | 4× | 3 | valid |
| 2.0ms | 5× | 1 | valid |
Compiled 190 to 39 computations (79.5% saved)
ival-add: 63.0ms (54.7% of total)ival-mult: 23.0ms (20% of total)ival-div: 9.0ms (7.8% of total)ival-neg: 7.0ms (6.1% of total)ival-sub: 4.0ms (3.5% of total)ival-fabs: 3.0ms (2.6% of total)ival-sqrt: 2.0ms (1.7% of total)adjust: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) (patch #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (patch (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fabs.f64 (-.f64 y x))) (patch (*.f64 x (fabs.f64 (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (fabs (- y x)) (pow (sqrt 1/2) 2)) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (* x (fabs (- y x))) |
| 4.0ms | x | @ | inf | (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) |
| 1.0ms | x | @ | 0 | (/ (* (* y 1/2) y) (fabs (- x y))) |
| 1.0ms | y | @ | -inf | (/ (* (* y 1/2) y) (fabs (- x y))) |
| 1.0ms | y | @ | 0 | (/ (* (* y 1/2) y) (fabs (- x y))) |
| 1× | egg-herbie |
| 4 932× | lower-fma.f64 |
| 4 932× | lower-fma.f32 |
| 2 249× | lower-*.f64 |
| 2 249× | lower-*.f32 |
| 1 368× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 4223 |
| 1 | 754 | 3674 |
| 2 | 1917 | 3578 |
| 3 | 6986 | 3577 |
| 0 | 8169 | 3406 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(* (fabs (- y x)) (pow (sqrt 1/2) 2)) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
x |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))))) |
(* 3/4 x) |
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x)))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x))))) |
(* 3/4 x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4))) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y))))))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y)))))))) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) |
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y))))))))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y))))) |
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y))))) |
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y))))) |
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y))))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (- x y)))) |
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x)))))) |
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x)))))) |
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x)))))) |
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x)))))) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (+ y (* -1 x)))) |
(* x (fabs (+ y (* -1 x)))) |
(* x (fabs (+ y (* -1 x)))) |
(* x (fabs (+ y (* -1 x)))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (- y x))) |
(* x (fabs (neg (+ x (* -1 y))))) |
(* x (fabs (neg (+ x (* -1 y))))) |
(* x (fabs (neg (+ x (* -1 y))))) |
(* x (fabs (neg (+ x (* -1 y))))) |
(* -1 y) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
| Outputs |
|---|
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* (fabs (- y x)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
x |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- y x))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- y x))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
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(*.f64 (fabs.f64 (-.f64 y x)) x) |
(* x (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) x) |
(* x (fabs (neg (+ x (* -1 y))))) |
(*.f64 (fabs.f64 (-.f64 y x)) x) |
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- x y)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (+ x (* -1 y))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 y x)) |
| 2 474× | lower-fma.f32 |
| 2 471× | lower-fma.f64 |
| 2 299× | lower-*.f32 |
| 2 293× | lower-*.f64 |
| 2 137× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 215 |
| 0 | 73 | 202 |
| 1 | 273 | 202 |
| 2 | 1786 | 199 |
| 0 | 9251 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- x y) (neg.f64 y))) |
#s(approx (- x y) (neg.f64 y)) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (fabs.f64 (-.f64 y x))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(neg.f64 y) |
(fabs.f64 (-.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))))))) |
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64) (neg.f64 x)))) |
(+.f64 (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64)) x) |
(+.f64 x (*.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) |
(fabs.f64 (-.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))))) |
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))))) |
(fabs.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))))) |
(fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y)))) |
#s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 (*.f64 y y) y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 (-.f64 x y)))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y))) |
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (fabs.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fabs.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (neg.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (-.f64 x (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (-.f64 y (neg.f64 x)))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))) |
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y))) |
(fabs.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 y (+.f64 x #s(literal 0 binary64)))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y))))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x))))) |
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y)))) |
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x)))) |
(fabs.f64 (neg.f64 (-.f64 x y))) |
(fabs.f64 (neg.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64))) |
Compiled 24 746 to 1 757 computations (92.9% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 331 | 3 | 1 334 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 333 | 13 | 1 346 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (/.f64 x #s(literal 2 binary64)) x) | |
| 68.4% | (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) x) | |
| ✓ | 99.4% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ✓ | 87.4% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
| ✓ | 89.2% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
| ✓ | 58.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| 48.0% | (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| 50.2% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (*.f64 y #s(literal 1/2 binary64)))) | |
| ✓ | 11.3% | #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| ✓ | 61.9% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
| ✓ | 99.8% | #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
| ✓ | 49.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
Compiled 534 to 203 computations (62% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (*.f64 y #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(/.f64 #s(approx (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (/.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) |
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x) |
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) x) |
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
3 calls:
| 25.0ms | y |
| 8.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
3 calls:
| 2.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 1 | x |
| 58.0% | 1 | y |
| 58.0% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) |
3 calls:
| 2.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | y |
| 53.0% | 1 | x |
| 57.6% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) |
3 calls:
| 30.0ms | y |
| 2.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | x |
| 49.8% | 1 | y |
| 54.3% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 16 to 11 computations (31.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
3 calls:
| 1.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.3% | 1 | x |
| 11.3% | 1 | y |
| 11.3% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.6259837067356567e-237 | 1.011844926893908e-268 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.6259837067356567e-237 | 1.011844926893908e-268 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 150 |
| 1 | 53 | 150 |
| 2 | 59 | 150 |
| 3 | 62 | 150 |
| 4 | 63 | 150 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| 4 761× | lower-fma.f64 |
| 4 761× | lower-fma.f32 |
| 2 796× | lower-*.f64 |
| 2 796× | lower-*.f32 |
| 2 453× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 479 |
| 1 | 115 | 479 |
| 2 | 264 | 479 |
| 3 | 775 | 479 |
| 4 | 2426 | 479 |
| 5 | 3227 | 479 |
| 6 | 4255 | 479 |
| 7 | 5098 | 479 |
| 8 | 5671 | 479 |
| 9 | 6159 | 479 |
| 10 | 7875 | 479 |
| 0 | 8354 | 458 |
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5345 | 21 |
| 0 | 8350 | 20 |
| 0 | 508 | 5130 |
| 1 | 1547 | 4981 |
| 2 | 4052 | 4847 |
| 0 | 8326 | 4525 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 127 to 66 computations (48% saved)
Compiled 148 to 54 computations (63.5% saved)
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