
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 6 |
| 78.1% | 78% | 21.9% | 0.1% | 0% | 0% | 0% | 7 |
| 82.8% | 82.7% | 17.2% | 0.1% | 0% | 0% | 0% | 8 |
| 88.3% | 88.2% | 11.7% | 0.1% | 0% | 0% | 0% | 9 |
| 91% | 90.9% | 9% | 0.1% | 0% | 0% | 0% | 10 |
| 93.9% | 93.9% | 6% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.3s | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-mult: 298.0ms (33.6% of total)ival-div: 231.0ms (26% of total)ival-add: 175.0ms (19.7% of total)ival-sub: 166.0ms (18.7% of total)exact: 8.0ms (0.9% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 3.0ms (0.3% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 0 | - | 0 | - | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 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 |
| 33.0ms | 512× | 0 | valid |
Compiled 93 to 31 computations (66.7% saved)
ival-div: 8.0ms (44.5% of total)ival-mult: 4.0ms (22.2% of total)ival-sub: 2.0ms (11.1% of total)ival-add: 2.0ms (11.1% of total)exact: 1.0ms (5.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
| 224× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 57 | 61 |
| 2 | 121 | 57 |
| 3 | 253 | 55 |
| 4 | 541 | 55 |
| 5 | 888 | 55 |
| 6 | 995 | 55 |
| 7 | 1019 | 55 |
| 8 | 1029 | 55 |
| 9 | 1033 | 55 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 22 | 11 |
| 2 | 33 | 11 |
| 3 | 48 | 11 |
| 4 | 90 | 11 |
| 5 | 163 | 11 |
| 6 | 284 | 11 |
| 7 | 379 | 11 |
| 8 | 589 | 11 |
| 9 | 679 | 11 |
| 10 | 801 | 11 |
| 11 | 837 | 11 |
| 12 | 1000 | 11 |
| 13 | 1009 | 11 |
| 0 | 1009 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 384× | lower-fma.f64 |
| 384× | lower-fma.f32 |
| 272× | lower-*.f32 |
| 270× | lower-*.f64 |
| 224× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 0 | 14 | 39 |
| 1 | 22 | 39 |
| 2 | 33 | 39 |
| 3 | 48 | 39 |
| 4 | 90 | 39 |
| 5 | 163 | 39 |
| 6 | 284 | 39 |
| 7 | 379 | 39 |
| 8 | 589 | 39 |
| 9 | 679 | 39 |
| 10 | 801 | 39 |
| 11 | 837 | 39 |
| 12 | 1000 | 39 |
| 13 | 1009 | 39 |
| 0 | 1009 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
x |
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
x |
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 9.380609132041245 | (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
| 17.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-div: 3.0ms (38.8% of total)ival-mult: 2.0ms (25.9% of total)ival-sub: 1.0ms (12.9% of total)ival-add: 1.0ms (12.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/2 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y)) |
| 1.0ms | x | @ | 0 | ((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y)) |
| 1.0ms | x | @ | inf | ((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y)) |
| 1.0ms | y | @ | 0 | ((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y)) |
| 1× | egg-herbie |
| 13 558× | lower-fma.f64 |
| 13 558× | lower-fma.f32 |
| 4 930× | lower-*.f64 |
| 4 930× | lower-*.f32 |
| 1 854× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1053 |
| 1 | 738 | 1018 |
| 2 | 1944 | 987 |
| 3 | 6075 | 981 |
| 0 | 8419 | 934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(-.f64 (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(-.f64 (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x)) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/8 binary64))) x)) x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x))) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x)) x) #s(literal -2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 5 754× | lower-fma.f64 |
| 5 754× | lower-fma.f32 |
| 4 124× | lower-*.f32 |
| 4 122× | lower-*.f64 |
| 2 962× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 14 | 35 |
| 1 | 63 | 35 |
| 2 | 500 | 35 |
| 3 | 6873 | 35 |
| 0 | 8527 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64))) |
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x))) |
(/.f64 (*.f64 y x) #s(literal 2 binary64)) |
(/.f64 x (/.f64 #s(literal 2 binary64) y)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y)) |
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)) |
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (log.f64 y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y x) |
(*.f64 x y) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
Compiled 9 214 to 1 087 computations (88.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 5 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 390 | 5 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 62.5% | (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
| ▶ | 64.7% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
| ▶ | 74.4% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
| ▶ | 28.9% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
Compiled 66 to 60 computations (9.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| 1 384× | lower-fma.f32 |
| 1 378× | lower-fma.f64 |
| 664× | lower-*.f32 |
| 662× | lower-*.f64 |
| 278× | associate-/l* |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 144 |
| 0 | 37 | 144 |
| 1 | 59 | 144 |
| 2 | 97 | 144 |
| 3 | 179 | 144 |
| 4 | 368 | 144 |
| 5 | 697 | 141 |
| 6 | 1091 | 139 |
| 7 | 1434 | 139 |
| 8 | 1620 | 139 |
| 9 | 1752 | 139 |
| 10 | 1839 | 139 |
| 11 | 1985 | 139 |
| 12 | 2002 | 139 |
| 13 | 2011 | 139 |
| 14 | 2018 | 139 |
| 15 | 2019 | 139 |
| 0 | 2019 | 139 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
x |
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
y |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
x |
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
x |
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
y |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
x |
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) | |
| accuracy | 22.593334628147005 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0 | (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 31.824672121297063 | #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 16.354940042735667 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 45.49942069783688 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 9.380609132041245 | (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| 39.0ms | 256× | 0 | valid |
Compiled 127 to 24 computations (81.1% saved)
ival-div: 7.0ms (30.1% of total)ival-mult: 6.0ms (25.8% of total)ival-sub: 4.0ms (17.2% of total)ival-add: 4.0ms (17.2% of total)exact: 1.0ms (4.3% of total)ival-neg: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (patch (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) (patch (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (+ (* (* y x) 1/2) -1)) |
| 1.0ms | x | @ | -inf | ((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (+ (* (* y x) 1/2) -1)) |
| 1.0ms | y | @ | -inf | ((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (+ (* (* y x) 1/2) -1)) |
| 1.0ms | y | @ | inf | ((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (+ (* (* y x) 1/2) -1)) |
| 1.0ms | x | @ | inf | ((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (+ (* (* y x) 1/2) -1)) |
| 1× | egg-herbie |
| 12 856× | lower-fma.f64 |
| 12 856× | lower-fma.f32 |
| 4 554× | lower-*.f64 |
| 4 554× | lower-*.f32 |
| 2 528× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 3177 |
| 1 | 875 | 3073 |
| 2 | 2369 | 2971 |
| 3 | 7072 | 2957 |
| 0 | 8301 | 2778 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(* 1/2 (* x y)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(* 1/2 (* x y)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(/ 2 x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(* 1/2 (* x y)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
1 |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(+ 1 (* 1/2 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
y |
(+ y (* -1/2 (* x (pow y 2)))) |
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) |
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2))))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x (+ (* 1/2 y) (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 (* x y)))) x) |
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x) |
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* 1/2 (* x y)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(* 1/2 (* x y)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(* -1 (* x (- (* -1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
y |
(* y (+ 1 (* -1/2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y) |
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 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 (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x)) x) |
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x)) x) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) x) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
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(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x))) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) |
(* -1 (* x (- (* -1/2 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| 4 952× | lower-/.f32 |
| 4 948× | lower-/.f64 |
| 4 560× | lower-fma.f32 |
| 4 554× | lower-fma.f64 |
| 4 288× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 37 | 123 |
| 1 | 178 | 123 |
| 2 | 1175 | 123 |
| 0 | 8323 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y x) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x y) |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))) x) (*.f64 x x))) |
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(+.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
Compiled 11 658 to 1 355 computations (88.4% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 630 | 1 | 631 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 631 | 5 | 636 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ✓ | 62.5% | (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 74.4% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
| ✓ | 28.9% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
| ▶ | 29.6% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
Compiled 33 to 31 computations (6.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
| 1 304× | lower-fma.f32 |
| 1 302× | lower-fma.f64 |
| 616× | lower-*.f32 |
| 612× | lower-*.f64 |
| 246× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 71 |
| 0 | 25 | 71 |
| 1 | 39 | 71 |
| 2 | 64 | 71 |
| 3 | 119 | 71 |
| 4 | 189 | 71 |
| 5 | 358 | 71 |
| 6 | 664 | 71 |
| 7 | 1130 | 71 |
| 8 | 1450 | 71 |
| 9 | 1525 | 71 |
| 10 | 1611 | 71 |
| 11 | 1679 | 71 |
| 12 | 1800 | 71 |
| 13 | 1812 | 71 |
| 14 | 1820 | 71 |
| 15 | 1827 | 71 |
| 16 | 1828 | 71 |
| 0 | 1828 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) | |
| accuracy | 22.49188893404826 | #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) | |
| accuracy | 22.593334628147005 | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
| 32.0ms | 256× | 0 | valid |
Compiled 47 to 18 computations (61.7% saved)
ival-mult: 13.0ms (61% of total)ival-div: 3.0ms (14.1% of total)ival-add: 3.0ms (14.1% of total)ival-sub: 1.0ms (4.7% of total)exact: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (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 (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (* y x)) |
| 1.0ms | y | @ | -inf | ((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (* y x)) |
| 1.0ms | x | @ | -inf | ((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (* y x)) |
| 0.0ms | x | @ | inf | ((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (* y x)) |
| 0.0ms | y | @ | 0 | ((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* y x) 1/2) -1) y) x) (* (+ (* (* y x) 1/2) -1) y) (+ (* (* y x) 1/2) -1) (* y x)) |
| 1× | egg-herbie |
| 16 400× | lower-fma.f64 |
| 16 400× | lower-fma.f32 |
| 4 314× | lower-*.f64 |
| 4 314× | lower-*.f32 |
| 3 250× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1010 |
| 1 | 533 | 1004 |
| 2 | 1502 | 992 |
| 3 | 4273 | 980 |
| 0 | 8382 | 893 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(* -1 y) |
(* y (- (* 1/2 (* x y)) 1)) |
(* y (- (* 1/2 (* x y)) 1)) |
(* y (- (* 1/2 (* x y)) 1)) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x y)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* y (- (* 1/2 x) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(- x (* 2 (/ 1 x))) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(* 1/2 (* x y)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
-1 |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(- (* 1/2 (* x y)) 1) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(* 1/2 (* x y)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x (- (* 1/2 y) (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(* -1 (* x (- (* -1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(* 1/2 (* x (pow y 2))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -1/4 binary64) y) x #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ x (* y (- (* 1/2 (* x y)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* y (- (* 1/2 (* x y)) 1)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) y)) x) (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x) x) (-.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y))) y #s(literal -1 binary64)) y) |
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y))) y #s(literal -1 binary64)) y) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* y (- (* 1/2 x) (/ 1 y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(- x (* 2 (/ 1 x))) |
(-.f64 x (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) y)) x) (/.f64 #s(literal 2 binary64) x)) |
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x) x) (-.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) |
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x)) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) y) y) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) y) y) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (pow y 2) (- (* 1/2 x) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1/2 x) (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(- (* x (+ 1 (* 1/2 (pow y 2)))) y) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -1/4 binary64) y) x #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y x) |
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(+ (* -1 y) (* 1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 (* x y)) 1) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* x (- 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- (* 1/2 y) (/ 1 x))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x) |
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x x) |
(* -1 (* x (- (* -1/2 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1/2 y) (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 11 116× | lower-fma.f32 |
| 11 114× | lower-fma.f64 |
| 5 460× | lower-*.f32 |
| 5 456× | lower-*.f64 |
| 3 210× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 67 |
| 0 | 25 | 67 |
| 1 | 108 | 67 |
| 2 | 781 | 67 |
| 0 | 9081 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))) |
#s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))) (-.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (-.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)) (*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) y)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y))) |
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(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) y) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y x) |
(*.f64 x y) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
Compiled 5 624 to 1 050 computations (81.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 0 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 310 | 5 | 315 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ✓ | 62.5% | (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 74.4% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
| ✓ | 28.9% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
| ✓ | 29.6% | #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
Compiled 87 to 59 computations (32.2% saved)
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | y |
| 3.0ms | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* y x) 1/2) -1) y) x) (*.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) |
3 calls:
| 49.0ms | y |
| 2.0ms | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | x |
| 93.9% | 3 | y |
| 87.0% | 3 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 74.4% | 1 | x |
| 74.4% | 1 | y |
Compiled 13 to 13 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
3 calls:
| 1.0ms | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.9% | 1 | y |
| 28.9% | 1 | (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) |
| 28.9% | 1 | x |
Compiled 13 to 13 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 6.393941847882692e+48 | 1.5738036054382421e+56 |
| 14.0ms | -7.712722695001175e+98 | -1.543442669891281e+87 |
| 57.0ms | 304× | 0 | valid |
Compiled 204 to 242 computations (-18.6% saved)
ival-add: 43.0ms (84.8% of total)ival-div: 4.0ms (7.9% of total)ival-mult: 2.0ms (3.9% of total)ival-sub: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative-binary64-+.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | *-commutative-binary64-*.f64 |
| 8× | neg-sub0-binary64--.f64-neg.f64 |
| 8× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 92 |
| 1 | 39 | 92 |
| 2 | 51 | 92 |
| 3 | 58 | 92 |
| 4 | 62 | 92 |
| 5 | 63 | 92 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -280000000000000005424143956845641588573833593202227332235080591143009246246676874572229302206595072 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 145000000000000003525778919484870697476661272552818081792 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
| Outputs |
|---|
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -280000000000000005424143956845641588573833593202227332235080591143009246246676874572229302206595072 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 145000000000000003525778919484870697476661272552818081792 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) |
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) |
| 13 558× | lower-fma.f64 |
| 13 558× | lower-fma.f32 |
| 5 754× | lower-fma.f64 |
| 5 754× | lower-fma.f32 |
| 4 930× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 14 | 35 |
| 1 | 63 | 35 |
| 2 | 500 | 35 |
| 3 | 6873 | 35 |
| 0 | 8527 | 32 |
| 0 | 231 | 1053 |
| 1 | 738 | 1018 |
| 2 | 1944 | 987 |
| 3 | 6075 | 981 |
| 0 | 8419 | 934 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 75 to 50 computations (33.3% saved)
Compiled 104 to 62 computations (40.4% saved)
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