
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 329.0ms | 8 256× | 0 | valid |
ival-mult: 124.0ms (70.4% of total)ival-sub: 39.0ms (22.2% of total)ival-true: 6.0ms (3.4% of total)exact: 4.0ms (2.3% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 x 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-mult: 32.0ms (89.3% of total)ival-sub: 2.0ms (5.6% 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 |
| 280× | lower-fma.f64 |
| 280× | lower-fma.f32 |
| 184× | lower-*.f32 |
| 180× | lower-*.f64 |
| 146× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 59 | 37 |
| 2 | 121 | 35 |
| 3 | 323 | 35 |
| 4 | 570 | 35 |
| 5 | 692 | 35 |
| 6 | 709 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 35 | 7 |
| 3 | 65 | 7 |
| 4 | 144 | 7 |
| 5 | 191 | 7 |
| 6 | 239 | 7 |
| 7 | 319 | 7 |
| 8 | 387 | 7 |
| 9 | 404 | 7 |
| 10 | 404 | 7 |
| 0 | 404 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 280× | lower-fma.f64 |
| 280× | lower-fma.f32 |
| 184× | lower-*.f32 |
| 180× | lower-*.f64 |
| 74× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 18 | 18 |
| 2 | 35 | 18 |
| 3 | 65 | 18 |
| 4 | 144 | 18 |
| 5 | 191 | 18 |
| 6 | 239 | 18 |
| 7 | 319 | 18 |
| 8 | 387 | 18 |
| 9 | 404 | 18 |
| 10 | 404 | 18 |
| 0 | 404 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
y |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0859375 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 5.0ms (75% of total)ival-sub: 1.0ms (15% 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 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#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 (* x y) (taylor 0 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 (* 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 (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* x y) |
| 1.0ms | y | @ | 0 | (* x (- 1 (* x y))) |
| 0.0ms | x | @ | 0 | (* x (- 1 (* x y))) |
| 0.0ms | x | @ | inf | (* x (- 1 (* x y))) |
| 0.0ms | x | @ | -inf | (* x (- 1 (* x y))) |
| 1× | egg-herbie |
| 4 738× | lower-fma.f64 |
| 4 738× | lower-fma.f32 |
| 4 354× | lower-*.f64 |
| 4 354× | lower-*.f32 |
| 2 520× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2428 | 332 |
| 5 | 5830 | 332 |
| 0 | 8058 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 21 824× | lower-fma.f64 |
| 21 824× | lower-fma.f32 |
| 3 708× | lower-*.f32 |
| 3 704× | lower-*.f64 |
| 3 004× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 x (neg.f64 (*.f64 y (*.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 y (*.f64 x x))) x) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (+.f64 x (*.f64 y (*.f64 x x))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 x x)))) |
(fma.f64 x (*.f64 x (neg.f64 y)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 y (*.f64 x x)))) |
(fma.f64 y (*.f64 (neg.f64 x) x) x) |
(fma.f64 (*.f64 x y) (neg.f64 x) x) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(fma.f64 (neg.f64 x) (*.f64 x y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 y (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (neg.f64 (*.f64 y (*.f64 x x)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 x y #s(literal 1 binary64))) (+.f64 x (*.f64 y (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) x))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (neg.f64 (*.f64 y (*.f64 x x))))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x y #s(literal 1 binary64))) (+.f64 x (*.f64 y (*.f64 x x)))) (+.f64 x (*.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))) x) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) x) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))))) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (neg.f64 (*.f64 y (*.f64 x x)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x y #s(literal 1 binary64))) (+.f64 x (*.f64 y (*.f64 x x))))) (neg.f64 (+.f64 x (*.f64 y (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))) x)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) x)) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y (*.f64 x x))) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x)) (-.f64 (neg.f64 (*.f64 y (*.f64 x x))) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (neg.f64 (*.f64 y (*.f64 x x)))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 x y #s(literal 1 binary64))) (+.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (*.f64 x x))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) y)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 y y) y)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x)) |
(+.f64 (*.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 1 binary64))) |
(+.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64)))))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (*.f64 y y) y)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 y y) y)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 y))) |
(pow.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 x y) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
Compiled 27 249 to 1 630 computations (94% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 8 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 676 | 9 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.4% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| ▶ | 67.3% | (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
| 68.7% | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) | |
| 36.5% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) | |
| ▶ | 65.7% | (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ▶ | 71.7% | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
| 52.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) | |
| ▶ | 50.2% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
Compiled 321 to 152 computations (52.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) | |
| cost-diff | 704 | (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) | |
| cost-diff | 3200 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) | |
| cost-diff | 5056 | (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 x y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) | |
| cost-diff | 896 | (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 x (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 12 294× | lower-fma.f32 |
| 12 284× | lower-fma.f64 |
| 3 072× | lower--.f32 |
| 3 070× | lower--.f64 |
| 2 784× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 297 |
| 0 | 62 | 237 |
| 1 | 151 | 233 |
| 2 | 413 | 226 |
| 3 | 1377 | 223 |
| 4 | 4034 | 220 |
| 0 | 8080 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
y |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
x |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))))) |
x |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) |
(fma.f64 x y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
y |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (*.f64 x (*.f64 x (*.f64 x y))) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 x (*.f64 x (*.f64 x y))) x) |
x |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 x)) (*.f64 y (*.f64 x y)) x) (fma.f64 x y #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 #s(literal -1 binary64) (*.f64 x y))) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 y (*.f64 (neg.f64 x) y)) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 y y) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) |
#s(literal 0 binary64) |
(pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) |
(fma.f64 x y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) |
#s(literal 0 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) | |
| accuracy | 0.1263275390737681 | (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 7.628863593095236 | (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 21.754970683687787 | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) | |
| accuracy | 0.38216057873875453 | (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) | |
| accuracy | 6.150423379338841 | (*.f64 x (*.f64 y y)) | |
| accuracy | 7.367908702379454 | (/.f64 x (fma.f64 x y #s(literal 1 binary64))) | |
| accuracy | 10.259708947887264 | (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) | |
| accuracy | 1.6374123325469068 | (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 1.8802184244415707 | (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) | |
| accuracy | 6.150423379338841 | (*.f64 x (*.f64 y y)) | |
| accuracy | 11.464272911921375 | (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 0.0859375 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 32.059946083543494 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.858099712292767 | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 69.0ms | 256× | 0 | valid |
Compiled 332 to 38 computations (88.6% saved)
ival-mult: 21.0ms (40.8% of total)ival-add: 9.0ms (17.5% of total)ival-pow: 9.0ms (17.5% of total)ival-div: 6.0ms (11.7% of total)ival-neg: 3.0ms (5.8% of total)ival-sub: 2.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(literal 1 binary64)) (patch (fma.f64 x y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) (patch (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) |
| 3.0ms | y | @ | inf | (+ (/ 1 (+ (* x y) 1)) (* (neg (* x (* y y))) (/ x (+ (* x y) 1)))) |
| 2.0ms | y | @ | -inf | (+ (/ 1 (+ (* x y) 1)) (* (neg (* x (* y y))) (/ x (+ (* x y) 1)))) |
| 1.0ms | y | @ | inf | (/ (neg (* x (+ (* x (* x (* y y))) 1))) (+ (* x y) -1)) |
| 1.0ms | x | @ | -inf | (+ (/ 1 (+ (* x y) 1)) (* (neg (* x (* y y))) (/ x (+ (* x y) 1)))) |
| 1× | egg-herbie |
| 9 996× | lower-fma.f64 |
| 9 996× | lower-fma.f32 |
| 5 684× | lower-*.f64 |
| 5 684× | lower-*.f32 |
| 2 672× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 4425 |
| 1 | 1779 | 4053 |
| 2 | 5481 | 3953 |
| 0 | 8524 | 3780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
x |
(* x (+ 1 (* x y))) |
(* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) |
(* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) |
x |
(+ x (* (pow x 2) y)) |
(+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) |
(* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (/ x y) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) |
(* -1 x) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
x |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
x |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(/ 1 (* x y)) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
-1 |
(- (* x (+ y (* 2 y))) 1) |
(- (* x (+ y (+ (* 2 y) (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2))))))) 1) |
(- (* x (+ y (+ (* 2 y) (* x (+ (* -2 (pow y 2)) (+ (* -1 (pow y 2)) (* x (pow y 3)))))))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 2) x)) (pow y 3)))) |
(* (pow x 3) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 2) x)) (+ (* 2 (/ y (pow x 2))) (+ (/ y (pow x 2)) (pow y 3)))))) |
(* (pow x 3) (- (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 2) x)) (+ (* 2 (/ y (pow x 2))) (+ (/ y (pow x 2)) (pow y 3))))) (/ 1 (pow x 3)))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -2 (pow y 2)) (+ (* -1 (/ (+ (* -2 y) (* -1 y)) x)) (* -1 (pow y 2)))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -2 (pow y 2)) (+ (* -1 (/ (+ (* -2 y) (+ (* -1 y) (/ 1 x))) x)) (* -1 (pow y 2)))) x)) (* -1 (pow y 3))))) |
-1 |
(- (* y (+ x (* 2 x))) 1) |
(- (* y (+ x (+ (* 2 x) (* y (+ (* -2 (pow x 2)) (* -1 (pow x 2))))))) 1) |
(- (* y (+ x (+ (* 2 x) (* y (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* (pow x 3) y))))))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 2) y)) (pow x 3)))) |
(* (pow y 3) (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 2) y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x (pow y 2)) (pow x 3)))))) |
(* (pow y 3) (- (+ (* -2 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 2) y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x (pow y 2)) (pow x 3))))) (/ 1 (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (+ (* -2 x) (* -1 x)) y)) (* -1 (pow x 2)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (+ (* -2 x) (+ (* -1 x) (/ 1 y))) y)) (* -1 (pow x 2)))) y)) (* -1 (pow x 3))))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 y (fma.f64 x (neg.f64 x) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (- (/ 1 x) y)) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* x y)) |
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(+.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(*.f64 (*.f64 y y) (fma.f64 y (fma.f64 y (fma.f64 y (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (- x (/ 1 y)))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) x)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(fma.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) y)) x) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(fma.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))))) x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(fma.f64 y (fma.f64 x (*.f64 x (*.f64 x y)) (*.f64 x (neg.f64 x))) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x)) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (* x y))) |
(fma.f64 x (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(fma.f64 y (fma.f64 x (*.f64 x y) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(fma.f64 y (fma.f64 x (*.f64 x y) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(*.f64 x (*.f64 x (fma.f64 y y (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(*.f64 x (*.f64 x (fma.f64 y y (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (* x y))) |
(fma.f64 x (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(fma.f64 y (fma.f64 x (*.f64 x y) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(fma.f64 y (fma.f64 x (*.f64 x y) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y) y) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(fma.f64 y (*.f64 y (/.f64 (*.f64 x #s(literal -2 binary64)) y)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(fma.f64 y (*.f64 y (/.f64 (*.f64 x #s(literal -2 binary64)) y)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y) y) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
| 3 848× | lower-*.f32 |
| 3 834× | lower-*.f64 |
| 3 698× | lower-/.f32 |
| 3 690× | lower-/.f64 |
| 3 434× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 220 |
| 0 | 60 | 163 |
| 1 | 283 | 138 |
| 2 | 2486 | 138 |
| 0 | 8269 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 x y #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))) |
(*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 x (*.f64 y y)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
| Outputs |
|---|
(+.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) |
(+.f64 (neg.f64 (*.f64 (*.f64 x x) y)) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) y))) |
(fma.f64 x (*.f64 (neg.f64 x) y) x) |
(fma.f64 (neg.f64 x) (*.f64 x y) x) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 y (*.f64 x (neg.f64 x)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 x x) y))) |
(fma.f64 (*.f64 x y) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x))) (neg.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))) (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)))) (neg.f64 (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (neg.f64 (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (neg.f64 x) y) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(neg.f64 x) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)) |
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(pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) (pow.f64 (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) (pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) (fma.f64 x y #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))))) |
Compiled 118 837 to 6 565 computations (94.5% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 352 | 6 | 2 358 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 357 | 10 | 2 367 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| ▶ | 76.1% | (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
| ▶ | 22.6% | (/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) |
| 70.2% | (*.f64 x (fma.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))) | |
| ▶ | 68.7% | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 51.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) | |
| ▶ | 70.2% | (*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
| ▶ | 52.0% | (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
| ✓ | 50.2% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
Compiled 302 to 167 computations (44.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 1984 | (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
| 10 440× | lower-fma.f32 |
| 10 432× | lower-fma.f64 |
| 3 164× | lower-*.f32 |
| 3 138× | lower-*.f64 |
| 1 670× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 389 |
| 0 | 81 | 377 |
| 1 | 189 | 364 |
| 2 | 523 | 319 |
| 3 | 1958 | 316 |
| 4 | 5635 | 316 |
| 0 | 8366 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) x) |
(*.f64 x y) |
y |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
x |
#s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) |
x |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
x |
(+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
#s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 x y #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) |
(*.f64 x y) |
y |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
x |
(fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) |
(fma.f64 x (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) x) |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (neg.f64 (*.f64 x y)))) |
x |
#s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) |
#s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (neg.f64 (*.f64 x y))) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(neg.f64 y) |
y |
(/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 y (*.f64 x y)))) (neg.f64 x)) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 y (*.f64 x y)))) (neg.f64 x)) |
(*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) |
(*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 y (*.f64 x y))))) |
x |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 y (*.f64 x y)))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 y y) |
y |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(*.f64 x (-.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(literal 1 binary64))))) |
x |
(+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(-.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(literal 1 binary64)))) |
#s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y #s(literal 1 binary64))) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(neg.f64 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 y y) |
y |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 x y #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) |
(*.f64 x y) |
y |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 0.205410009768442 | (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) | |
| accuracy | 0.48372307873875453 | (/.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| accuracy | 25.19716193737167 | (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 6.150423379338841 | (*.f64 x (*.f64 y y)) | |
| accuracy | 7.367908702379454 | (/.f64 x (fma.f64 x y #s(literal 1 binary64))) | |
| accuracy | 10.259708947887264 | (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) | |
| accuracy | 31.99150562658777 | #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) | |
| accuracy | 3.633612431038789 | (*.f64 x (*.f64 x (*.f64 y y))) | |
| accuracy | 6.150423379338841 | (*.f64 x (*.f64 y y)) | |
| accuracy | 11.464272911921375 | (/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 30.695680526073247 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) | |
| accuracy | 0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0859375 | (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) | |
| accuracy | 31.139374323373737 | #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x y) x) | |
| accuracy | 1.4396530572599304 | (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) | |
| accuracy | 1.6374123325469068 | (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) | |
| accuracy | 11.464272911921375 | (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
| 125.0ms | 256× | 0 | valid |
Compiled 369 to 45 computations (87.8% saved)
ival-mult: 31.0ms (50.2% of total)ival-div: 9.0ms (14.6% of total)ival-add: 9.0ms (14.6% of total)ival-pow: 7.0ms (11.3% of total)ival-neg: 4.0ms (6.5% of total)ival-sub: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) (patch (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) (patch #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (patch (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (patch (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (patch #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (patch #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (patch (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 y y))) (patch (*.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x y))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) (taylor inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) (taylor inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (/ x y) (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) (taylor -inf y) (#s(alt (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (patch (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/ 1 (* x y)) |
| 0.0ms | y | @ | 0 | (* (* x y) (* x (neg y))) |
| 0.0ms | x | @ | 0 | (* x (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1)))))) |
| 0.0ms | x | @ | 0 | (/ 1 (* x y)) |
| 0.0ms | x | @ | inf | (* x (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1)))))) |
| 1× | egg-herbie |
| 19 078× | lower-fma.f64 |
| 19 078× | lower-fma.f32 |
| 5 700× | lower-*.f64 |
| 5 700× | lower-*.f32 |
| 3 376× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 4909 |
| 1 | 1203 | 4557 |
| 2 | 3360 | 4393 |
| 0 | 8332 | 4226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* x y))) |
(* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) |
(* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) |
x |
(+ x (* (pow x 2) y)) |
(+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) |
(* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (/ x y) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) |
(* -1 x) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
x |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
x |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(* x (+ 1 (* x y))) |
(* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) |
(* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) |
x |
(+ x (* (pow x 2) y)) |
(+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) |
(* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (/ x y) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) |
(* -1 x) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(* -1 x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
x |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
x |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(+ x (* (pow x 3) (pow y 2))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow x 3) (pow y 2)) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(/ 1 (* x y)) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x y))) |
(fma.f64 x (*.f64 x y) x) |
(* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 y (+.f64 y y)) y) (*.f64 x x) x) |
(* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) |
(fma.f64 (fma.f64 x (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 y (+.f64 y y))) y) (*.f64 x x) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(*.f64 (*.f64 x x) (-.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) x))) |
(* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) |
(*.f64 x (fma.f64 x (-.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x y)))) (*.f64 x x))) #s(literal -1 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(*.f64 (*.f64 x x) (-.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) |
(*.f64 (*.f64 x x) (-.f64 (neg.f64 y) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y (*.f64 x y))))) x))) |
x |
(+ x (* (pow x 2) y)) |
(fma.f64 x (*.f64 x y) x) |
(+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(fma.f64 y (fma.f64 x x (*.f64 y (*.f64 (*.f64 x x) (+.f64 x x)))) x) |
(+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) |
(fma.f64 y (fma.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 x x))) (*.f64 x x)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) |
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) |
(fma.f64 y (fma.f64 x (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (neg.f64 x)) |
(* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) |
(-.f64 (*.f64 y (neg.f64 (fma.f64 x x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 y y))))) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 y (neg.f64 x))) |
(* -1 (* y (+ (/ x y) (pow x 2)))) |
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) |
(fma.f64 y (fma.f64 x (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (neg.f64 x)) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) |
(-.f64 (*.f64 y (neg.f64 (fma.f64 x x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 y y))))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (* -1 (pow y 2))))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(- (* -1 (* (pow x 3) (pow y 2))) x) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (pow x 3))) |
(neg.f64 (fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x)) |
x |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* x (+ 1 (* (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 x y)))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 x y)))) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* -1 (* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
x |
(+ x (* (pow x 3) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(+ x (* (pow x 3) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(+ x (* (pow x 3) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 x y)))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 x y)))) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
(* (pow y 2) (+ (/ x (pow y 2)) (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 y (*.f64 x y))) x) |
1 |
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(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 y (*.f64 x (*.f64 y (neg.f64 x)))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* x (pow y 2)) |
(*.f64 y (*.f64 x y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x y #s(literal -1 binary64)))) x) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (*.f64 y (*.f64 y (fma.f64 x y #s(literal -1 binary64)))) (neg.f64 y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y))))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x y #s(literal -1 binary64)))) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 y (fma.f64 x (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 4 binary64))) y))) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 x y))))))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 x y)))))) y)) y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 5 648× | lower-fma.f32 |
| 5 640× | lower-fma.f64 |
| 4 024× | lower-*.f32 |
| 3 998× | lower-*.f64 |
| 3 724× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 336 |
| 0 | 81 | 312 |
| 1 | 342 | 254 |
| 2 | 2698 | 238 |
| 0 | 9271 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
#s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y))) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) |
(+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
#s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) |
(*.f64 x y) |
(*.f64 (*.f64 x y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (fma.f64 x y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))) (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (fma.f64 x y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x (*.f64 x y))))) (fma.f64 x y #s(literal -1 binary64))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (fma.f64 x y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)))) (/.f64 x (neg.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (fma.f64 x y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)))))) |
(/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (fma.f64 y (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x) (neg.f64 (neg.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x))) (fma.f64 x y #s(literal -1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 x y))) x)))) (neg.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))) |
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (*.f64 x y)) (/.f64 (*.f64 y (neg.f64 x)) (*.f64 x y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (*.f64 x (*.f64 y (*.f64 y (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 y (neg.f64 x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y))) (pow.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y))) (pow.f64 (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y (neg.f64 x))) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y (neg.f64 x))) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 y (neg.f64 x)) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (neg.f64 x)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x y) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x y) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x y) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 y) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x y)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (neg.f64 x)))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y (neg.f64 x)))) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 (neg.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 x (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal 1 binary64)) (*.f64 x y))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 x (*.f64 x y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 y (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 y))) |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y (*.f64 x (*.f64 x y))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (*.f64 y (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
Compiled 28 330 to 2 618 computations (90.8% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 370 | 3 | 1 373 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 375 | 8 | 1 383 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| ▶ | 30.7% | (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
| ▶ | 75.6% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ▶ | 51.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) |
| ✓ | 52.0% | (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
| ✓ | 50.2% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 33.8% | (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
Compiled 118 to 67 computations (43.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) | |
| cost-diff | 0 | (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 448 | (/.f64 (neg.f64 y) (*.f64 x y)) | |
| cost-diff | 1216 | (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) | |
| cost-diff | 128 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) | |
| cost-diff | 384 | (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) | |
| cost-diff | 832 | (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) | |
| cost-diff | 0 | (*.f64 y (*.f64 x (*.f64 x y))) | |
| cost-diff | 0 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
| 6 502× | lower-fma.f32 |
| 6 496× | lower-fma.f64 |
| 3 328× | lower-*.f32 |
| 3 312× | lower-*.f64 |
| 1 518× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 493 |
| 0 | 70 | 493 |
| 1 | 154 | 493 |
| 2 | 369 | 482 |
| 3 | 1442 | 461 |
| 4 | 3575 | 457 |
| 5 | 6108 | 457 |
| 0 | 8140 | 449 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
y |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
#s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) |
(*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) |
(neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) |
(+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
(/.f64 (neg.f64 y) (*.f64 x y)) |
(neg.f64 y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) |
(neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
y |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
y |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) |
(fma.f64 x #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (fma.f64 x y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (fma.f64 x y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
#s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) |
#s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) |
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (fma.f64 x y #s(literal -1 binary64))) |
(neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) x) y) |
(+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)) |
(+.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
(-.f64 x (*.f64 x (*.f64 x y))) |
x |
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 x y)) |
(*.f64 x y) |
y |
(/.f64 (neg.f64 y) (*.f64 x y)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) |
(neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) |
(neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
y |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6374123325469068 | (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) | |
| accuracy | 2.9815604962173516 | (*.f64 y (*.f64 x (*.f64 x y))) | |
| accuracy | 11.464272911921375 | (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 30.69568052607311 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) | |
| accuracy | 0.0859375 | (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 0.1328125 | (*.f64 x (*.f64 x y)) | |
| accuracy | 8.230976668666697 | (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 14.752436432565409 | (/.f64 (neg.f64 y) (*.f64 x y)) | |
| accuracy | 0.49063118840008474 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) | |
| accuracy | 1.7770667783513574 | (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) | |
| accuracy | 3.720433137356354 | (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) | |
| accuracy | 31.284931920704338 | #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) | |
| accuracy | 2.9815604962173516 | (*.f64 y (*.f64 x (*.f64 x y))) | |
| accuracy | 4.026571524048496 | (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) | |
| accuracy | 7.379627452379454 | (/.f64 x (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 30.69568052607311 | #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
| 83.0ms | 256× | 0 | valid |
Compiled 391 to 41 computations (89.5% saved)
ival-mult: 21.0ms (32.7% of total)ival-div: 17.0ms (26.5% of total)ival-add: 11.0ms (17.1% of total)ival-sub: 9.0ms (14% of total)ival-neg: 5.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (patch #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 x (*.f64 x y))) (patch (*.f64 y (*.f64 x (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) (patch (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) (patch (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) (patch (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) (patch (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) (*.f64 x y)) (patch (/.f64 (neg.f64 y) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x y)) (patch (*.f64 x (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (patch (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) (patch (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) (patch #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x y))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ y (* x (- (pow y 2) (* -1 (pow y 2)))))))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ y (* x (- (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (pow y 2)) (* -1 (pow y 2)))))))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ y (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) (taylor inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2))) (+ y (/ 1 x)))) (taylor inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ y (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)) y)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow x 2) y) (* -1 x)) (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (- (/ 1 (* (pow x 2) y)) (/ 1 x)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (pow x 2) y)) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* x (neg (+ y (/ (- -1 (/ (/ (+ -1 (/ 1 (* x y))) x) y)) x)))) |
| 5.0ms | y | @ | inf | (/ (/ (+ -1 (/ 1 (* x y))) x) y) |
| 1.0ms | y | @ | 0 | (/ x (+ (* x y) -1)) |
| 0.0ms | y | @ | -inf | (/ (/ (+ -1 (/ 1 (* x y))) x) y) |
| 0.0ms | x | @ | -inf | (/ (/ (+ -1 (/ 1 (* x y))) x) y) |
| 1× | egg-herbie |
| 11 274× | lower-fma.f64 |
| 11 274× | lower-fma.f32 |
| 4 806× | lower-*.f64 |
| 4 806× | lower-*.f32 |
| 3 150× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 511 | 4540 |
| 1 | 1642 | 4150 |
| 2 | 4647 | 4061 |
| 0 | 8568 | 3950 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* x y))) |
(* x (+ 1 (* x (+ y (* x (- (pow y 2) (* -1 (pow y 2)))))))) |
(* x (+ 1 (* x (+ y (* x (- (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (pow y 2)) (* -1 (pow y 2)))))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) (+ y (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) |
(* (pow x 2) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2))) (+ y (/ 1 x)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) (+ y (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)) y)) |
x |
(- (* (pow x 2) y) (* -1 x)) |
(- (* y (+ (* y (- (pow x 3) (* -1 (pow x 3)))) (pow x 2))) (* -1 x)) |
(- (* y (+ (* y (- (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (pow x 3)) (* -1 (pow x 3)))) (pow x 2))) (* -1 x)) |
(* -1 (* (pow x 2) y)) |
(* y (- (* -1 (/ x y)) (pow x 2))) |
(* y (- (* -1 (/ x y)) (+ (/ 2 (pow y 2)) (pow x 2)))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2)))) (pow x 2))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (- (/ x y) (* -1 (pow x 2))))) |
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (* -1 (pow x 2))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (* -1 (pow x 2))))) |
(* -1 x) |
(* x (- (* -1 (* x y)) 1)) |
(* x (- (* x (- (* x (- (* -1 (pow y 2)) (pow y 2))) y)) 1)) |
(* x (- (* x (- (* x (- (+ (* -1 (pow y 2)) (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (pow y 2))) y)) 1)) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ 1 x))) |
(* (pow x 2) (+ y (+ (/ 1 x) (/ 2 (* (pow x 2) y))))) |
(* (pow x 2) (+ y (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ 1 x))) |
(* (pow x 2) (+ y (+ (/ 1 x) (/ 2 (* (pow x 2) y))))) |
(* (pow x 2) (+ y (* -1 (/ (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) x)) 1) x)))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (pow x 3)) (pow x 3))) (pow x 2)))) |
(+ (* -1 x) (* y (- (* y (- (+ (* -1 (pow x 3)) (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (pow x 3))) (pow x 2)))) |
(* (pow x 2) y) |
(* y (+ (/ x y) (pow x 2))) |
(* y (- (+ (/ 2 (pow y 2)) (pow x 2)) (* -1 (/ x y)))) |
(* y (- (+ (* 2 (/ 1 (* x (pow y 3)))) (+ (/ 2 (pow y 2)) (pow x 2))) (* -1 (/ x y)))) |
(* (pow x 2) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 y)) (* -1 x)) y)) (* -1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* 2 (/ 1 y)) (/ 2 (* x (pow y 2)))) (* -1 x)) y)) (* -1 (pow x 2))))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
1 |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(+ 1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2))) (pow x 2)) |
(/ (+ (* x (- (* x (+ 1 (* -1 (* x y)))) (/ 1 y))) (/ 1 (pow y 2))) (pow x 2)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (+ (* y (- y (/ 1 x))) (/ 1 (pow x 2))) (pow y 2)) |
(/ (+ (* y (- (* y (+ 1 (* -1 (* x y)))) (/ 1 x))) (/ 1 (pow x 2))) (pow y 2)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2)) |
(/ -1 (* x y)) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (/ y x)) (/ 1 (pow x 2))) (pow y 2)) |
(/ -1 (* x y)) |
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y) |
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y) |
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(/ 1 (* (pow x 3) (pow y 2))) |
(/ (+ (* -1 (/ y (pow x 2))) (/ 1 (pow x 3))) (pow y 2)) |
(/ (+ (* y (- (/ y x) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(/ (+ (* y (- (* y (+ (* -1 y) (/ 1 x))) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(* -1 y) |
(* y (- (/ 1 (* x y)) 1)) |
(* y (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* y (- (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))) (+ 1 (/ 1 (* (pow x 2) (pow y 2)))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 (* x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))))) |
(/ 1 (* (pow x 3) (pow y 2))) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 3)) |
(/ (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(/ (+ (* x (- (* x (+ 1 (* -1 (* x y)))) (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(* -1 y) |
(- (/ 1 x) y) |
(- (/ 1 x) (+ y (/ 1 (* (pow x 2) y)))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ y (/ 1 (* (pow x 2) y)))) |
(* -1 y) |
(- (/ 1 x) y) |
(- (* -1 (/ (- (/ 1 (* x y)) 1) x)) y) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) y) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
x |
(* x (+ 1 (* x y))) |
(* x (+ 1 (* x (+ y (* -1 (* x (- (* -1 (pow y 2)) (pow y 2)))))))) |
(* x (+ 1 (* x (+ y (* x (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (* -1 (- (* -1 (pow y 2)) (pow y 2))))))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (- (+ (* -1 y) (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2)))) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (- (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)))) |
(* (pow x 2) (+ (* -1 y) (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)))) |
x |
(+ x (* (pow x 2) y)) |
(+ x (* y (+ (* -1 (* y (- (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (+ (* y (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (* -1 (- (* -1 (pow x 3)) (pow x 3))))) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (/ x y)) (* -1 (pow x 2)))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (/ 2 (pow y 2)))) |
(* y (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2))) (* -1 (pow x 2))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (/ x y) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (pow x 2)))) |
(* -1 x) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* x (- (* -1 (* (pow x 2) (pow y 2))) 1)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 3) (- (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 3) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* (pow x 3) (pow y 2)))) |
(+ (* -1 x) (* -1 (* (pow x 3) (pow y 2)))) |
(+ (* -1 x) (* -1 (* (pow x 3) (pow y 2)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1 (pow x 3)))) |
-1 |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -1 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2)))) |
-1 |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(- (* -1 (* (pow x 2) (pow y 2))) 1) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -1 x) |
(* x (- (* -1 (* x y)) 1)) |
(* x (- (* x (- (* -1 (* x (pow y 2))) y)) 1)) |
(* x (- (* x (- (* x (- (* -1 (* x (pow y 3))) (pow y 2))) y)) 1)) |
(/ 1 y) |
(+ (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 4)))))) |
(/ 1 y) |
(+ (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (pow x 2)))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* (pow x 4) y)) (pow x 3))) (pow x 2)))) |
(/ 1 y) |
(/ (+ 1 (/ 1 (* x y))) y) |
(/ (+ 1 (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2))))) y) |
(/ (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) (pow y 3)))))) y) |
(/ 1 y) |
(/ (+ 1 (/ 1 (* x y))) y) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) 1) y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(/ -1 (* (pow x 3) (pow y 2))) |
(/ (- (/ x y) (/ 1 (pow y 2))) (pow x 3)) |
(/ (- (* x (+ (* -1 x) (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(/ (- (* x (+ (* -1 x) (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(/ -1 x) |
(/ (- (/ 1 (* x y)) 1) x) |
(/ (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))) x) |
(/ (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 (* x y))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)) |
(/ -1 (* (pow x 3) (pow y 2))) |
(/ (- (/ y (pow x 2)) (/ 1 (pow x 3))) (pow y 2)) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(/ -1 x) |
(- (/ 1 (* (pow x 2) y)) (/ 1 x)) |
(- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) |
(- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) |
(/ -1 x) |
(- (/ 1 (* (pow x 2) y)) (/ 1 x)) |
(- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x y))) |
(fma.f64 x (*.f64 x y) x) |
(* x (+ 1 (* x (+ y (* x (- (pow y 2) (* -1 (pow y 2)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y y)) y) x) |
(* x (+ 1 (* x (+ y (* x (- (+ (* -1 (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (pow y 2)) (* -1 (pow y 2)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y y))) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* -1 (* (pow x 2) (+ y (/ 1 x)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (neg.f64 x)) y)) |
(* (pow x 2) (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) (pow x 2))) (+ y (/ 1 x)))) |
(*.f64 x (fma.f64 x (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x))) y) #s(literal -1 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* -1 (* (pow x 2) (+ y (/ 1 x)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) y)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (neg.f64 x)) y)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 2 (* (pow x 2) (pow y 2))))) x)) y)) |
(*.f64 (*.f64 x x) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) x)) y)) |
x |
(- (* (pow x 2) y) (* -1 x)) |
(fma.f64 x (*.f64 x y) x) |
(- (* y (+ (* y (- (pow x 3) (* -1 (pow x 3)))) (pow x 2))) (* -1 x)) |
(fma.f64 y (fma.f64 y (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) x) |
(- (* y (+ (* y (- (+ (* -1 (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (pow x 3)) (* -1 (pow x 3)))) (pow x 2))) (* -1 x)) |
(fma.f64 y (fma.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* y (- (* -1 (/ x y)) (pow x 2))) |
(*.f64 y (neg.f64 (fma.f64 x x (/.f64 x y)))) |
(* y (- (* -1 (/ x y)) (+ (/ 2 (pow y 2)) (pow x 2)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) y) x) y) (*.f64 x x))) |
(* y (- (+ (* -1 (/ x y)) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) (pow y 2)))) (pow x 2))) |
(*.f64 y (neg.f64 (fma.f64 x x (/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) y)) y)))) |
(* -1 (* (pow x 2) y)) |
(*.f64 x (*.f64 x (neg.f64 y))) |
(* -1 (* y (- (/ x y) (* -1 (pow x 2))))) |
(*.f64 y (neg.f64 (fma.f64 x x (/.f64 x y)))) |
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* 2 (/ 1 y))) y)) (* -1 (pow x 2))))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) y) x) y) (*.f64 x x))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 2 (* 2 (/ 1 (* x y)))) y))) y)) (* -1 (pow x 2))))) |
(*.f64 y (neg.f64 (fma.f64 x x (/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) y)) y)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (* x y)) 1)) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))) |
(* x (- (* x (- (* x (- (* -1 (pow y 2)) (pow y 2))) y)) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 y y) #s(literal -2 binary64)) (neg.f64 y)) #s(literal -1 binary64))) |
(* x (- (* x (- (* x (- (+ (* -1 (pow y 2)) (* x (* y (- (* -1 (pow y 2)) (pow y 2))))) (pow y 2))) y)) 1)) |
(*.f64 x (fma.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -2 binary64)))) y) #s(literal -1 binary64))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) (+ y (/ 1 x))) |
(fma.f64 x (*.f64 x y) x) |
(* (pow x 2) (+ y (+ (/ 1 x) (/ 2 (* (pow x 2) y))))) |
(fma.f64 (*.f64 x x) (+.f64 y (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x y)))) x) |
(* (pow x 2) (+ y (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 (* (pow x 3) (pow y 2)))))))) |
(fma.f64 (*.f64 x x) (+.f64 y (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x y))))))) x) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) (+ y (/ 1 x))) |
(fma.f64 x (*.f64 x y) x) |
(* (pow x 2) (+ y (+ (/ 1 x) (/ 2 (* (pow x 2) y))))) |
(fma.f64 (*.f64 x x) (+.f64 y (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x y)))) x) |
(* (pow x 2) (+ y (* -1 (/ (- (* -1 (/ (+ (* 2 (/ 1 y)) (* 2 (/ 1 (* x (pow y 2))))) x)) 1) x)))) |
(*.f64 x (*.f64 x (+.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y y)))) x)) x)))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+ (* -1 x) (* y (- (* y (- (* -1 (pow x 3)) (pow x 3))) (pow x 2)))) |
(fma.f64 y (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (+ (* -1 (pow x 3)) (* x (* y (- (* -1 (pow x 3)) (pow x 3))))) (pow x 3))) (pow x 2)))) |
(fma.f64 y (fma.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64))) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* y (+ (/ x y) (pow x 2))) |
(*.f64 y (fma.f64 x x (/.f64 x y))) |
(* y (- (+ (/ 2 (pow y 2)) (pow x 2)) (* -1 (/ x y)))) |
(*.f64 y (fma.f64 x x (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) y)) y))) |
(* y (- (+ (* 2 (/ 1 (* x (pow y 3)))) (+ (/ 2 (pow y 2)) (pow x 2))) (* -1 (/ x y)))) |
(*.f64 y (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) y)) y)))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow x 2))))) |
(*.f64 y (fma.f64 x x (/.f64 x y))) |
(* -1 (* y (+ (* -1 (/ (- (* 2 (/ 1 y)) (* -1 x)) y)) (* -1 (pow x 2))))) |
(*.f64 y (fma.f64 x x (/.f64 (+.f64 x (/.f64 #s(literal 2 binary64) y)) y))) |
(* -1 (* y (+ (* -1 (/ (- (+ (* 2 (/ 1 y)) (/ 2 (* x (pow y 2)))) (* -1 x)) y)) (* -1 (pow x 2))))) |
(*.f64 y (fma.f64 x x (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y y))) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) |
(/ (+ (* -1 (/ x y)) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y)) (*.f64 x x)) |
(/ (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (fma.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* x (- (* x (+ 1 (* -1 (* x y)))) (/ 1 y))) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y))) y) #s(literal 1 binary64)) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(fma.f64 x (-.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) y) (*.f64 x x))) y) #s(literal 1 binary64)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y))) y) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x (*.f64 x x))) |
(/ (- (* x (+ (* -1 x) (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(/.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x (*.f64 x x))) |
(/ (- (* x (+ (* -1 x) (/ 1 y))) (/ 1 (pow y 2))) (pow x 3)) |
(/.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x (*.f64 x x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 (* x y)) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(/ (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(/ (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 (* x y))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(/ -1 (* (pow x 3) (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x y))))) |
(/ (- (/ y (pow x 2)) (/ 1 (pow x 3))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 (pow x 2)))) (/ 1 (pow x 3))) (pow y 2)) |
(/.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ 1 (* (pow x 2) y)) (/ 1 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ 1 (* (pow x 2) y)) (/ 1 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) |
(- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
(- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)) x) |
| 5 102× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 4 876× | lower-/.f32 |
| 4 860× | lower-/.f64 |
| 3 630× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 322 |
| 0 | 70 | 322 |
| 1 | 289 | 286 |
| 2 | 2238 | 286 |
| 0 | 8927 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
#s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x)))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) |
(neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))) |
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (*.f64 x y)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) |
(neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
#s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (fma.f64 x y #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))))) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 x (/.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) |
(*.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (fma.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 y y)) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(/.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)))) |
(/.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(/.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x))) (*.f64 (neg.f64 x) (*.f64 x y))) |
(/.f64 (-.f64 x (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (*.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x))) (*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 (/.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x))) (*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)))) x) (*.f64 x (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))) x) (*.f64 x (*.f64 x (*.f64 y (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x y))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 x (*.f64 x (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x))) (*.f64 x (*.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y))) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x))) (*.f64 x (*.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y)))))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (*.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 x (*.f64 x (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x y))))) |
Compiled 29 976 to 2 928 computations (90.2% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 069 | 3 | 1 072 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 3 | 4 |
| Total | 1 071 | 9 | 1 080 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| ✓ | 30.7% | (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
| ✓ | 75.6% | (*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 51.6% | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x #s(approx (neg (+ y (/ (- -1 (/ (/ (+ -1 (/ 1 (* x y))) x) y)) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)))))) | |
| ✓ | 52.0% | (*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
| ✓ | 33.8% | (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
| 45.9% | (neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) #s(approx (/ x (+ (* x y) -1)) (/.f64 #s(literal 1 binary64) y)))) | |
| 50.2% | (neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
Compiled 474 to 167 computations (64.8% saved)
| Inputs |
|---|
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) #s(approx (/ x (+ (* x y) -1)) (/.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (*.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x #s(approx (+ (* x (* x (* y y))) 1) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x (* x (* y y))) 1) (*.f64 y (*.f64 x (*.f64 x y))))) x) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x y) x) y #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(approx (/ 1 (+ (* x y) 1)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x #s(approx (neg (+ y (/ (- -1 (/ (/ (+ -1 (/ 1 (* x y))) x) y)) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x) y)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(approx (* (neg (* x (* y y))) (/ x (+ (* x y) 1))) (*.f64 x (neg.f64 (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x) y)) x))))))) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x y #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64))))))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 11.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) |
(*.f64 x #s(approx (/ (- 0 (pow (+ (* x y) -1) 3)) (+ 0 (+ (* (+ (* x y) -1) (+ (* x y) -1)) (* 0 (+ (* x y) -1))))) (*.f64 x (neg.f64 y)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) |
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | x |
| 77.2% | 3 | y |
| 86.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
3 calls:
| 6.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | y |
| 50.2% | 1 | x |
| 50.2% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.335381318278339e+83 | 6.712168329191998e+85 |
| 0.0ms | -9.715977351640498e+69 | -1.0616396717248494e+59 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 93 |
| 1 | 44 | 93 |
| 2 | 55 | 93 |
| 3 | 61 | 93 |
| 4 | 64 | 93 |
| 5 | 65 | 93 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 binary64)) (neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))))) |
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 binary64)) (neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))))) |
(neg.f64 #s(approx (* (+ (* x (* x (* y y))) 1) (/ x (+ (* x y) -1))) (neg.f64 x))) |
| 21 824× | lower-fma.f64 |
| 21 824× | lower-fma.f32 |
| 11 274× | lower-fma.f64 |
| 11 274× | lower-fma.f32 |
| 9 996× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2428 | 332 |
| 5 | 5830 | 332 |
| 0 | 8058 | 332 |
| 0 | 518 | 4425 |
| 1 | 1779 | 4053 |
| 2 | 5481 | 3953 |
| 0 | 8524 | 3780 |
| 0 | 50 | 336 |
| 0 | 81 | 312 |
| 1 | 342 | 254 |
| 2 | 2698 | 238 |
| 0 | 9271 | 235 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 0 | 511 | 4540 |
| 1 | 1642 | 4150 |
| 2 | 4647 | 4061 |
| 0 | 8568 | 3950 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 139 to 69 computations (50.4% saved)
Compiled 120 to 44 computations (63.3% saved)
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