
Time bar (total: 6.7s)
| 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)
| 394.0ms | 7 998× | 0 | valid |
| 18.0ms | 97× | 2 | valid |
| 12.0ms | 116× | 1 | valid |
| 10.0ms | 45× | 3 | valid |
ival-div: 65.0ms (26.7% of total)ival-sub: 57.0ms (23.4% of total)ival-fabs: 50.0ms (20.5% of total)ival-add: 49.0ms (20.1% of total)adjust: 7.0ms (2.9% of total)ival-true: 6.0ms (2.5% of total)exact: 5.0ms (2.1% of total)ival-assert: 4.0ms (1.6% 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 |
| 132.0ms | 488× | 0 | valid |
| 2.0ms | 10× | 2 | valid |
| 1.0ms | 10× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 84 to 32 computations (61.9% saved)
ival-fabs: 23.0ms (66.6% of total)ival-div: 4.0ms (11.6% of total)ival-add: 3.0ms (8.7% of total)ival-sub: 3.0ms (8.7% of total)adjust: 1.0ms (2.9% 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 |
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 8 to 7 computations (12.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 8 to 7 computations (12.5% 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)) |
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 | 0.0703125 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 12.0ms | 244× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 1.0ms | 5× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 50 to 16 computations (68% saved)
ival-sub: 2.0ms (28% of total)ival-div: 2.0ms (28% of total)ival-add: 1.0ms (14% of total)ival-fabs: 1.0ms (14% 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 (+ 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 (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 (* -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 (* 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 (+ 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 (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 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 (* 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 (+ 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 (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 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 (* 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 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 (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 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 (* 1/2 (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 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 (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 (* -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 (* 1/2 (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 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 (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 -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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | y | @ | inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | y | @ | -inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1.0ms | x | @ | -inf | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 0.0ms | y | @ | 0 | ((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 479 |
| 1 | 115 | 479 |
| 2 | 264 | 479 |
| 3 | 775 | 479 |
| 4 | 2401 | 479 |
| 5 | 3216 | 479 |
| 6 | 4243 | 479 |
| 7 | 5084 | 479 |
| 8 | 5657 | 479 |
| 9 | 6145 | 479 |
| 10 | 7847 | 479 |
| 0 | 8326 | 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))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y 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)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x 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 (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)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* 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))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y 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)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(* 1/2 (fabs (+ y (* -1 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))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(* -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 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)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(* 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)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.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) |
(* 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)) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 y x)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.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) |
(* 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)) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* 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)) |
x |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.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) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (+ y (* -1 x)))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.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) |
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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 166 to 927 computations (85% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 320 | 10 | 330 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 321 | 10 | 331 |
| Status | Accuracy | Program |
|---|---|---|
| 53.0% | (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) x) | |
| 99.3% | (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) | |
| ▶ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 51.7% | (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
| ▶ | 99.2% | (+.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))) |
| 41.6% | (+.f64 x (/.f64 (fabs.f64 (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 2 binary64))) | |
| 99.7% | (+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))) | |
| 99.6% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) | |
| ▶ | 52.1% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
Compiled 306 to 206 computations (32.7% 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 x y) | |
| cost-diff | 0 | (pow.f64 (-.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #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) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 189 |
| 0 | 52 | 175 |
| 1 | 73 | 175 |
| 2 | 94 | 175 |
| 3 | 169 | 175 |
| 4 | 446 | 175 |
| 5 | 1349 | 174 |
| 6 | 2753 | 174 |
| 7 | 4552 | 174 |
| 8 | 6862 | 174 |
| 0 | 8022 | 174 |
| 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 y x)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
#s(literal 1/2 binary64) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#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 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 y x)) #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 y x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(pow.f64 (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)) 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 x y) |
x |
y |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#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 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 | 0.00390625 | (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0703125 | (+.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 | 0.53515625 | (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 | 0.0078125 | (pow.f64 (-.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 14.914033601622886 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) | |
| accuracy | 29.653887946660493 | (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.06640625 | (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 30.45037395117893 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.0703125 | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 68.0ms | 236× | 0 | valid |
| 17.0ms | 7× | 1 | valid |
| 7.0ms | 10× | 2 | valid |
| 2.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 373 to 60 computations (83.9% saved)
ival-pow2: 19.0ms (29.5% of total)ival-div: 12.0ms (18.6% of total)ival-mult: 10.0ms (15.5% of total)ival-add: 8.0ms (12.4% of total)ival-pow: 4.0ms (6.2% of total)ival-sub: 3.0ms (4.7% of total)ival-fabs: 3.0ms (4.7% of total)adjust: 2.0ms (3.1% of total)ival-sqrt: 2.0ms (3.1% of total)exact: 1.0ms (1.6% 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 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 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>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<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 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 y) (#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 y) (#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 y) (#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 (- 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 x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 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 (* -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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (* 1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (* 1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (* 1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (* 1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (+ (* -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))))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (+ (* -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))))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (+ (* -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))))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (+ (* -1/4 (pow x 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ y (* -2 x))) (pow x 2)) (taylor 0 y) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ y (* -2 x))) (pow x 2)) (taylor 0 y) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (fabs (- x y)) (pow (sqrt 1/2) 2)) (taylor 0 y) (#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 (* (fabs (- x y)) (pow (sqrt 1/2) 2)) (taylor 0 y) (#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 (* (fabs (- x y)) (pow (sqrt 1/2) 2)) (taylor 0 y) (#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 (* (fabs (- x y)) (pow (sqrt 1/2) 2)) (taylor 0 y) (#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 (* (sqrt (fabs (- x y))) (sqrt 1/2)) (taylor 0 y) (#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 (* (sqrt (fabs (- x y))) (sqrt 1/2)) (taylor 0 y) (#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 (* (sqrt (fabs (- x y))) (sqrt 1/2)) (taylor 0 y) (#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 (* (sqrt (fabs (- x y))) (sqrt 1/2)) (taylor 0 y) (#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 (+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#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 x (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x)) |
| 6.0ms | y | @ | 0 | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x)) |
| 4.0ms | y | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x)) |
| 3.0ms | y | @ | -inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x)) |
| 3.0ms | x | @ | inf | ((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 4241 |
| 1 | 1216 | 4126 |
| 2 | 3176 | 3987 |
| 0 | 8318 | 3726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ 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))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y 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)))) |
(/ 1 (+ x (* 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))))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(/ (+ (* -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 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))) |
(pow x 2) |
(+ (* -2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(+ (* y (+ y (* -2 x))) (pow x 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)) |
(* (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)) |
(+ 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))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- 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 (* -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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x 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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ 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)))) |
(/ 1 (+ x (* 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))))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ 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)) |
(* (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)) |
(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))))) |
(* (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)) |
(* (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)) |
(+ 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))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- 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 (* -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 (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x 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)))))) |
(+ 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 (neg (+ x (* -1 y))))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(+ 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 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y)))))) |
(/ 1 (+ 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 (* 1/2 (fabs (+ x (* -1 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)) |
(* (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) |
(* (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)))) |
(* (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 (* -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)) |
(+ 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 (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 1/2 (fabs (+ x (* -1 y)))) |
(* 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 (* -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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(- x y) |
(- 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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -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)))) |
(/ 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))))) |
(* 1/2 (fabs (- x y))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- x y)))) |
(+ x (* 1/2 (fabs (- 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)))))) |
(* -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)))) |
(pow y 2) |
(+ (* -2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 2)) |
(+ (* x (+ x (* -2 y))) (pow y 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)) |
(* (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)) |
(* (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))) |
(* 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))) |
(+ 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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ 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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
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)))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x) |
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x) |
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)))) |
(* 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 (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))))) |
(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))))) |
(* (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)) |
(* (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)) |
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))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 1/2 (fabs (- x y))) |
(* 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))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
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))) |
(* 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 (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ 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))) |
(/ 1 x) |
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) |
(* -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)) 1) 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))) |
(* 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))) |
(* 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)))) |
(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)))) |
(* (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)) |
(* (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)) |
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))) |
(* 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))))) |
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))) |
| Outputs |
|---|
(+ 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) |
(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)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 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)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y 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) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (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) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (*.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) 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 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (*.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) x)))) |
(+ (* -1/4 (pow x 2)) (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/4 binary64) x) x) |
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2))) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) x (*.f64 y #s(literal 1/2 binary64))) x) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(fma.f64 #s(literal 3/4 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y)) |
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2))) |
(fma.f64 #s(literal 3/4 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 x x)) |
(+ (* y (+ y (* -2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 x x)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) |
(+ x (* -1/2 (fabs (- x y)))) |
(fma.f64 #s(literal -1/2 binary64) (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) |
(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)) |
(* -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) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 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)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(+ 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) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) |
(/ 1 (+ x (* 1/2 (fabs (- x y))))) |
(/.f64 #s(literal 1 binary64) (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) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (*.f64 y y)) |
(* (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 #s(literal 1/2 binary64) y) (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y)) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4)) |
(*.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (- x y)) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (- x y))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 (fabs (- x y))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
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(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.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 y x)) (fma.f64 y #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (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 (-.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x)) x) #s(literal 3/4 binary64)) x) |
(* 3/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/4 binary64) x) x) |
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) x) x) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)) x) x) |
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 y x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 y x))) x)) (*.f64 x x)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) |
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) |
(fma.f64 (fabs.f64 (-.f64 y x)) (*.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 y x)) (*.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 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (fabs (neg (+ y (* -1 x))))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 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 y x)) #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 y x)) #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 y x)) #s(literal 1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 145 |
| 0 | 52 | 128 |
| 1 | 221 | 128 |
| 2 | 1391 | 115 |
| 0 | 8885 | 115 |
| 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 y x)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) |
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) |
(pow.f64 (-.f64 x y) #s(literal 2 binary64)) |
(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) |
| Outputs |
|---|
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Compiled 55 989 to 5 534 computations (90.1% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 620 | 15 | 2 635 |
| Fresh | 5 | 0 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 629 | 16 | 2 645 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.5% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| 51.6% | (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x) | |
| 51.7% | (fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x) | |
| 53.3% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) | |
| ▶ | 51.7% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| 87.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) | |
| 57.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| 25.7% | (/.f64 (fma.f64 #s(approx (pow (- x y) 2) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) | |
| 51.7% | (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64))) | |
| ▶ | 56.4% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) |
| 38.9% | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))) | |
| ▶ | 11.4% | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| ▶ | 99.7% | #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
| 54.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) | |
| 7.4% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
Compiled 391 to 268 computations (31.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) | |
| cost-diff | 1984 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (-.f64 y x)) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) | |
| cost-diff | -128 | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal 3/4 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) | |
| cost-diff | 1024 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 153 |
| 0 | 56 | 136 |
| 1 | 87 | 132 |
| 2 | 136 | 123 |
| 3 | 268 | 123 |
| 4 | 679 | 123 |
| 5 | 2329 | 123 |
| 6 | 5274 | 123 |
| 0 | 8320 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64) x) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -2 binary64) (-.f64 y x)) |
#s(literal -2 binary64) |
(-.f64 y x) |
y |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
#s(literal 1/2 binary64) |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)) |
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
x |
(*.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 (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -2 binary64) (-.f64 y x)) |
#s(literal -2 binary64) |
(-.f64 y x) |
y |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 y x)) |
#s(literal 1/2 binary64) |
(-.f64 x y) |
x |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) | |
| accuracy | 0.17578125 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -2 binary64) (-.f64 y x)) | |
| accuracy | 0.06640625 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) | |
| accuracy | 0.125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.06640625 | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 3/4 binary64) x) | |
| accuracy | 29.39032923991445 | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0 | #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) | |
| accuracy | 0.06640625 | (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) | |
| accuracy | 0.078125 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
| 83.0ms | 118× | 0 | valid |
| 35.0ms | 123× | 0 | invalid |
| 5.0ms | 6× | 2 | valid |
| 3.0ms | 6× | 1 | valid |
| 2.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 263 to 63 computations (76% saved)
ival-add: 51.0ms (45.3% of total)ival-div: 23.0ms (20.4% of total)ival-mult: 21.0ms (18.7% of total)ival-pow: 4.0ms (3.6% of total)ival-sub: 3.0ms (2.7% of total)ival-fabs: 3.0ms (2.7% of total)ival-pow2: 3.0ms (2.7% of total)adjust: 2.0ms (1.8% of total)ival-sqrt: 2.0ms (1.8% 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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) 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 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) (taylor 0 y) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor 0 y) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor 0 y) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor 0 y) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) 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 (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -2 (/ y x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (pow (sqrt -1/2) 2) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y)) |
| 3.0ms | x | @ | -inf | ((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y)) |
| 2.0ms | x | @ | inf | ((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y)) |
| 2.0ms | y | @ | -inf | ((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y)) |
| 2.0ms | x | @ | 0 | ((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 3844 |
| 1 | 1793 | 3697 |
| 2 | 5515 | 3670 |
| 0 | 8328 | 3416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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 (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(/ (+ (* -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 x) |
(- y x) |
(- y x) |
(- y x) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(/ 2 x) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ x (* x (pow (sqrt 1/2) 2))) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(* (sqrt x) (sqrt 1/2)) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (* y (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (sqrt 1/2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))))) (* (sqrt x) (sqrt 1/2))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (sqrt 1/2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (sqrt 1/2))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) (* y (sqrt 1/2)))))))) (* (sqrt x) (sqrt 1/2))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 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 (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -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)))))))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(/ -2 y) |
(/ (- (* -2 (/ x y)) 2) y) |
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y) |
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y) |
(* -1 (* y (pow (sqrt 1/2) 2))) |
(* y (+ (* -1 (pow (sqrt 1/2) 2)) (+ (/ x y) (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(* y (+ (* -1 (pow (sqrt 1/2) 2)) (+ (/ x y) (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(* y (+ (* -1 (pow (sqrt 1/2) 2)) (+ (/ x y) (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(* (sqrt y) (* (sqrt -1) (sqrt 1/2))) |
(* y (+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))) |
(* y (+ (* -1/8 (* (/ (* (pow x 2) (sqrt 1/2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))) |
(* y (+ (* -1/8 (* (/ (* (pow x 2) (sqrt 1/2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (* (pow x 3) (sqrt 1/2)) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(+ 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 (* 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 (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 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))))))))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(/ -2 y) |
(* -1 (/ (+ 2 (* 2 (/ x y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y)) |
(* -1 (* y (pow (sqrt 1/2) 2))) |
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2)))) |
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* y (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
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)))) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* 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) |
(* 3/4 x) |
(* 3/4 x) |
(* 3/4 x) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(/ -2 y) |
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))) |
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 (* y (pow (sqrt 1/2) 2))) |
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2)))) |
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2)))) |
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2)))) |
(* (sqrt y) (* (sqrt -1) (sqrt 1/2))) |
(+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2)))) |
(+ (* x (+ (* -1/8 (* (/ (* x (sqrt 1/2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ (sqrt 1/2) (sqrt -1)))))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2)))) |
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ (sqrt 1/2) (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (* 1/16 (* (/ (* x (sqrt 1/2)) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
1/2 |
1/2 |
1/2 |
1/2 |
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 |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* 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) |
(* 3/4 x) |
(* 3/4 x) |
(* 3/4 x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x) |
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x) |
(* x (+ 1 (pow (sqrt 1/2) 2))) |
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2)))) |
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2)))) |
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2)))) |
(* (sqrt x) (sqrt 1/2)) |
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))) |
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) |
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt 1/2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
1/2 |
1/2 |
1/2 |
1/2 |
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 (* 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))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 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))) |
(* 3/4 x) |
(* 3/4 x) |
(* 3/4 x) |
(* 3/4 x) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(/ 2 x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(* -1 (* x (- (pow (sqrt -1/2) 2) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
(+ 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 (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y))))) |
(/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 y #s(literal 1/2 binary64)) (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))) y (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) 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 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))) y (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) |
(+ x (* x (pow (sqrt 1/2) 2))) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(+ x (+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (pow (sqrt 1/2) 2)))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(* (sqrt x) (sqrt 1/2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (* y (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (sqrt 1/2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))))) (* (sqrt x) (sqrt 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* y (+ (* -1/2 (* (sqrt (/ 1 x)) (sqrt 1/2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (sqrt 1/2))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) (* y (sqrt 1/2)))))))) (* (sqrt x) (sqrt 1/2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ 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 (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y)))))) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) y) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) y #s(literal 1/2 binary64)) 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 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
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) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) |
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y x)) |
(fabs (+ y (* -1 x))) |
(fabs.f64 (-.f64 y 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 #s(literal -3/4 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) x)) (neg.f64 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 #s(literal -3/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x)) x)) (neg.f64 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 #s(literal -3/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fabs.f64 (-.f64 y x)) (*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x)) x)) (neg.f64 x)) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* 3/4 x) |
(*.f64 #s(literal 3/4 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* -2 (/ y x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 y x) y)) x) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y))) x)) x)) (neg.f64 x)) |
(* -1 (* x (- (pow (sqrt -1/2) 2) 1))) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 129 |
| 0 | 56 | 120 |
| 1 | 241 | 118 |
| 2 | 1748 | 94 |
| 0 | 9203 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) |
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) |
(fabs.f64 (-.f64 y x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
(*.f64 #s(literal 3/4 binary64) x) |
(-.f64 y x) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) |
(/.f64 #s(literal -2 binary64) (-.f64 y x)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
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Compiled 25 780 to 2 631 computations (89.8% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 282 | 4 | 1 286 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 291 | 11 | 1 302 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.5% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ▶ | 87.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
| 57.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| 35.2% | (+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) | |
| ✓ | 11.4% | #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| ▶ | 56.6% | #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| 31.4% | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) | |
| ▶ | 26.9% | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| ▶ | 54.8% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
| ▶ | 7.4% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
Compiled 123 to 124 computations (-0.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- y x) (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) | |
| 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) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 169 |
| 0 | 46 | 169 |
| 1 | 67 | 169 |
| 2 | 85 | 169 |
| 3 | 129 | 167 |
| 4 | 212 | 151 |
| 5 | 333 | 151 |
| 6 | 601 | 151 |
| 7 | 1918 | 151 |
| 8 | 4398 | 151 |
| 9 | 6235 | 151 |
| 10 | 6877 | 151 |
| 11 | 7264 | 151 |
| 12 | 7319 | 151 |
| 13 | 7373 | 151 |
| 14 | 7831 | 151 |
| 0 | 8062 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
#s(literal 3/2 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
| Outputs |
|---|
(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 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (-.f64 x y))) 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) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
#s(literal 3/2 binary64) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0 | #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (fabs.f64 #s(approx (- y x) (neg.f64 x))) | |
| accuracy | 30.655162585378385 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 30.658078656661495 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) | |
| accuracy | 28.940965654600614 | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 32.73652323929923 | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) | |
| 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 | 0.0703125 | (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 | 8.058663083282951 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
| 50.0ms | 239× | 0 | valid |
| 7.0ms | 6× | 1 | valid |
| 4.0ms | 9× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 231 to 51 computations (77.9% saved)
ival-add: 14.0ms (33.2% of total)ival-mult: 10.0ms (23.7% of total)ival-fabs: 6.0ms (14.2% of total)ival-sub: 4.0ms (9.5% of total)ival-div: 4.0ms (9.5% of total)adjust: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (+ x (* -1 y)) (taylor 0 y) (#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 (+ x (* -1 y)) (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (fabs (- x y)) (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (fabs (- x y)) (taylor 0 y) (#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 (fabs (- x y)) (taylor 0 y) (#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 x (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 (+ 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 (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<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 (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#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 (* y (- (/ x y) 1)) (taylor inf y) (#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 (* y (- (/ x y) 1)) (taylor inf y) (#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 (* y (- (/ x y) 1)) (taylor inf y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor inf y) (#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 (- x y)) (taylor inf y) (#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 (fabs (- x y)) (taylor inf y) (#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 (fabs (- x y)) (taylor inf y) (#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 (fabs (- x y)) (taylor inf y) (#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>) () ())) ()) |
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#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (neg (+ y (* -1 x)))) (taylor -inf x) (#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 (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#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 (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#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 (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* x (- (/ y x) 1))) (taylor -inf x) (#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 (* x (- (/ y x) 1))) (taylor -inf x) (#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 (* x (- (/ y x) 1))) (taylor -inf x) (#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 (* 3/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<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>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x)) |
| 1.0ms | y | @ | inf | ((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x)) |
| 1.0ms | y | @ | 0 | ((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x)) |
| 1.0ms | x | @ | inf | ((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x)) |
| 1.0ms | x | @ | -inf | ((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1860 |
| 1 | 295 | 1752 |
| 2 | 738 | 1752 |
| 3 | 2458 | 1716 |
| 4 | 5395 | 1716 |
| 5 | 6974 | 1716 |
| 6 | 7989 | 1716 |
| 0 | 8015 | 1599 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(* 1/2 x) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(* -1 x) |
(- y x) |
(- y x) |
(- 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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(+ x (* 1/2 x)) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(* 3/2 x) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(* -1/2 y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ 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))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1/2 y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(* -1/2 y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ 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 (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 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)))))) |
(+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(+ 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 (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))))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 (* y (+ 1/2 (* -3/2 (/ x y))))) |
(* -1 y) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ 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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* 1/2 (fabs (- y x))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(+ x (* 1/2 (fabs (- y x)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
(+ (* -1/2 y) (* 1/2 x)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ 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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1/2 y) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(+ (* -1/2 y) (* 3/2 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
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)))) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ 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)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* x (+ 1/2 (* -1/2 (/ y x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
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)))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(* 1/2 (fabs (- y x))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* 3/2 x) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* x (+ 3/2 (* -1/2 (/ y x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
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))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
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))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 1/2))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y 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))) |
(* 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 (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* 3/2 x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ 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) |
(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)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* 1/2 x)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 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)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(+ x (* 1/2 x)) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ x (+ (* -1/2 y) (* 1/2 x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(+ (* -1/2 y) (* 3/2 x)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(+ 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) |
(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)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(* y (- (* 1/2 (/ x y)) 1/2)) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
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) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (fabs (- y x)))) |
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
(* 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)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.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) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 3/2 (/ x y)) 1/2)) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(-.f64 x y) |
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(-.f64 x y) |
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(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
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(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
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(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) |
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(*.f64 #s(literal -1/2 binary64) y) |
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(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
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y |
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(-.f64 y x) |
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(-.f64 y x) |
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(* 1/2 (fabs (- y x))) |
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(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 y x)) |
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(-.f64 x y) |
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(fabs (- x y)) |
(fabs.f64 (-.f64 y x)) |
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(-.f64 x y) |
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(fabs.f64 (-.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) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* 3/2 x) |
(*.f64 #s(literal 3/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ y x)) 3/2))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 143 |
| 0 | 46 | 143 |
| 1 | 161 | 143 |
| 2 | 1157 | 143 |
| 0 | 8782 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 y x) #s(literal -1/2 binary64)) |
(-.f64 y x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) |
(fabs.f64 #s(approx (- y x) (neg.f64 x))) |
#s(approx (- y x) (neg.f64 x)) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 7 615 to 924 computations (87.9% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 1 | 576 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 577 | 10 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.5% | (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| ✓ | 99.9% | (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
| ✓ | 87.0% | (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) |
| 57.1% | (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) | |
| 35.2% | (+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) | |
| ✓ | 56.6% | #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| 31.4% | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) | |
| ✓ | 26.9% | #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| ✓ | 7.4% | #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
| 31.1% | #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 444 to 195 computations (56.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
(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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) 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) (-.f64 y x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x) |
(/.f64 (fma.f64 #s(approx (pow (- x y) 2) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) |
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 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))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) x) |
| Outputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
3 calls:
| 9.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 9.0ms | x |
| 9.0ms | y |
| 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 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 4.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | x |
| 73.3% | 2 | y |
| 79.2% | 3 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) |
2 calls:
| 3.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 76.7% | 2 | x |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
3 calls:
| 3.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 2 | y |
| 70.6% | 2 | x |
| 54.8% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 2 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
| 49.4% | 2 | y |
| 43.4% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 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 |
|---|---|---|
| 31.1% | 1 | x |
| 31.1% | 1 | y |
| 31.1% | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.657245275733975e-41 | 8.967279592796015e-33 |
| 14.0ms | -2.252094898645498e-37 | -1.0115949103818498e-41 |
| 18.0ms | 268× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
Compiled 241 to 276 computations (-14.5% saved)
ival-add: 4.0ms (31.9% of total)ival-sub: 4.0ms (31.9% of total)ival-div: 2.0ms (16% of total)ival-fabs: 1.0ms (8% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.657245275733975e-41 | 8.967279592796015e-33 |
| 1.0ms | -2.252094898645498e-37 | -1.0115949103818498e-41 |
Compiled 232 to 258 computations (-11.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 3.1213718022281487e-212 | 1.0440168179495745e-211 |
| 10.0ms | -2.252094898645498e-37 | -1.0115949103818498e-41 |
| 17.0ms | 192× | 0 | valid |
Compiled 180 to 202 computations (-12.2% saved)
ival-sub: 1.0ms (21.1% of total)ival-div: 1.0ms (21.1% of total)ival-add: 1.0ms (21.1% of total)ival-fabs: 1.0ms (21.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.791711790894904e-225 | 2.2683183964190434e-216 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.327729198324621e-223 | 1.3744861204829659e-220 |
| 10.0ms | 127× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 91 to 116 computations (-27.5% saved)
ival-sub: 5.0ms (64.1% of total)ival-div: 1.0ms (12.8% of total)ival-add: 1.0ms (12.8% of total)ival-fabs: 1.0ms (12.8% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.327729198324621e-223 | 1.3744861204829659e-220 |
| 18.0ms | -5.768084110032975e-73 | -8.218113120538578e-84 |
| 7.0ms | 160× | 0 | valid |
Compiled 165 to 238 computations (-44.2% saved)
ival-sub: 1.0ms (25.9% of total)ival-div: 1.0ms (25.9% of total)ival-add: 1.0ms (25.9% of total)ival-fabs: 1.0ms (25.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.791711790894904e-225 | 2.2683183964190434e-216 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 304 |
| 1 | 77 | 304 |
| 2 | 83 | 304 |
| 3 | 86 | 304 |
| 4 | 87 | 304 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) |
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal -5856478431961647/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 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) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) |
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) |
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))) |
(if (<=.f64 x #s(literal -5856478431961647/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))) |
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))) |
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 479 |
| 1 | 115 | 479 |
| 2 | 264 | 479 |
| 3 | 775 | 479 |
| 4 | 2401 | 479 |
| 5 | 3216 | 479 |
| 6 | 4243 | 479 |
| 7 | 5084 | 479 |
| 8 | 5657 | 479 |
| 9 | 6145 | 479 |
| 10 | 7847 | 479 |
| 0 | 8326 | 458 |
| 0 | 573 | 3844 |
| 1 | 1793 | 3697 |
| 2 | 5515 | 3670 |
| 0 | 8328 | 3416 |
| 0 | 31 | 145 |
| 0 | 52 | 128 |
| 1 | 221 | 128 |
| 2 | 1391 | 115 |
| 0 | 8885 | 115 |
| 0 | 106 | 1860 |
| 1 | 295 | 1752 |
| 2 | 738 | 1752 |
| 3 | 2458 | 1716 |
| 4 | 5395 | 1716 |
| 5 | 6974 | 1716 |
| 6 | 7989 | 1716 |
| 0 | 8015 | 1599 |
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 51 | 21 |
| 2 | 380 | 21 |
| 3 | 5345 | 21 |
| 0 | 8350 | 20 |
| 0 | 403 | 4241 |
| 1 | 1216 | 4126 |
| 2 | 3176 | 3987 |
| 0 | 8318 | 3726 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 580 to 399 computations (31.2% saved)
Compiled 358 to 122 computations (65.9% saved)
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