
Time bar (total: 6.9s)
| 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)
| 505.0ms | 8 256× | 0 | valid |
ival-sub: 197.0ms (58.6% of total)ival-mult: 126.0ms (37.5% of total)ival-true: 5.0ms (1.5% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% 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 |
| 23.0ms | 512× | 0 | valid |
Compiled 65 to 31 computations (52.3% saved)
ival-mult: 7.0ms (65.7% of total)ival-sub: 2.0ms (18.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% 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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
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 | 0.06640625 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 4.0ms (64.8% of total)ival-sub: 2.0ms (32.4% 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 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 (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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (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 (* 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 (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (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 (* 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 -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 (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 (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 (* 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 (* -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 (* 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 (* 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 (* -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 (* 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 (* 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* 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 | 2408 | 332 |
| 5 | 5858 | 332 |
| 0 | 8081 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* x y) |
(* x y) |
(* x y) |
(* 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 (* 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 |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* 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 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x y) |
(* x y) |
(* x y) |
(* 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 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 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 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) y)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 x x) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y)) |
(fma.f64 (neg.f64 x) (*.f64 y x) x) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 y x) (neg.f64 x) x) |
(fma.f64 y (*.f64 (neg.f64 x) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 x)) y)) |
(fma.f64 x (*.f64 (neg.f64 y) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) y)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 x x) y))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (+.f64 x (*.f64 (*.f64 x x) y)))) |
(-.f64 x (*.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x) |
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
Compiled 20 840 to 1 642 computations (92.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 7 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 678 | 7 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 75.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| ▶ | 79.4% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| 41.7% | (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))) | |
| ▶ | 53.2% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 49.8% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 47.0% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 180 to 114 computations (36.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 7552 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| 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 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 15 292× | lower-fma.f32 |
| 15 288× | lower-fma.f64 |
| 3 294× | lower-*.f32 |
| 3 280× | lower-*.f64 |
| 1 488× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 133 |
| 0 | 37 | 126 |
| 1 | 69 | 126 |
| 2 | 118 | 126 |
| 3 | 245 | 126 |
| 4 | 614 | 126 |
| 5 | 1283 | 126 |
| 6 | 2245 | 126 |
| 7 | 3511 | 126 |
| 8 | 5088 | 126 |
| 9 | 6767 | 126 |
| 0 | 8380 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(*.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) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 x (neg.f64 y)) x)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 (*.f64 x (neg.f64 y)) x) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.24513627930532603 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 2.8805673421855773 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 9.723620426213216 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.06640625 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 30.325862348716093 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 7.540601640260707 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| accuracy | 29.877677189434984 | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| accuracy | 0.06640625 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 32.36124191067247 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 111.0ms | 256× | 0 | valid |
Compiled 118 to 21 computations (82.2% saved)
ival-div: 17.0ms (43.6% of total)ival-mult: 13.0ms (33.3% of total)ival-sub: 3.0ms (7.7% of total)ival-pow2: 3.0ms (7.7% of total)ival-add: 2.0ms (5.1% of total)ival-neg: 1.0ms (2.6% 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 (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 1 (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#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 (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (* (neg y) (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1))) |
| 3.0ms | y | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (* (neg y) (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1))) |
| 3.0ms | y | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (* (neg y) (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1))) |
| 2.0ms | x | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (* (neg y) (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1))) |
| 2.0ms | x | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (* (neg y) (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (/ x (+ (* y x) 1))) |
| 1× | egg-herbie |
| 13 144× | lower-fma.f64 |
| 13 144× | lower-fma.f32 |
| 3 872× | lower-*.f64 |
| 3 872× | lower-*.f32 |
| 2 676× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2186 |
| 1 | 396 | 2022 |
| 2 | 907 | 2020 |
| 3 | 3075 | 2012 |
| 0 | 8149 | 2005 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (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 y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 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 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -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 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -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 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -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) (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 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 (* (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 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 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 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) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) 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 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 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))) |
(* (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)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (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 y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 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)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 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) (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -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))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -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 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -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))) |
(* -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) (- (/ 1 (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 y) |
(* x y) |
(* x y) |
(* x y) |
(/ 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)) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y (*.f64 x x)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) 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) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y))) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y))) y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) x y)) x #s(literal 1 binary64)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 (/.f64 #s(literal 1 binary64) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) 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 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 (/.f64 #s(literal 1 binary64) y) x)) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) |
| 11 936× | lower-fma.f32 |
| 11 932× | lower-fma.f64 |
| 5 644× | lower-*.f32 |
| 5 630× | lower-*.f64 |
| 3 544× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 109 |
| 0 | 37 | 102 |
| 1 | 133 | 102 |
| 2 | 792 | 102 |
| 0 | 8904 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #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 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 x (*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))) |
(*.f64 x (*.f64 (neg.f64 y) (*.f64 x (neg.f64 y)))) |
(*.f64 x (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (neg.f64 y)) x)) |
(*.f64 y (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 x y) x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x y))) |
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 x (neg.f64 y)) x)) y) |
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (neg.f64 y)) x)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) (*.f64 (neg.f64 y) y)) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (neg.f64 y)) x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (neg.f64 y)) x)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) #s(literal 0 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y x) |
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (*.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #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)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) #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 x y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) x)) |
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x y) (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x y) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x y) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x y)) (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
Compiled 24 974 to 1 761 computations (92.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 293 | 5 | 1 298 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 295 | 10 | 1 305 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.3% | (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
| ▶ | 62.2% | (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 75.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
| 64.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 99.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) |
| ✓ | 53.2% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.8% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 47.0% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 199 to 136 computations (31.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) | |
| cost-diff | 8832 | (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| cost-diff | 7552 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 y)) x x) | |
| cost-diff | 1664 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) | |
| cost-diff | 1024 | (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
| 8 784× | lower-fma.f32 |
| 8 774× | lower-fma.f64 |
| 4 274× | lower-*.f32 |
| 4 260× | lower-*.f64 |
| 1 518× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 0 | 60 | 183 |
| 1 | 112 | 171 |
| 2 | 228 | 171 |
| 3 | 637 | 163 |
| 4 | 1420 | 163 |
| 5 | 3018 | 163 |
| 6 | 5105 | 163 |
| 0 | 8115 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) |
(*.f64 y (pow.f64 x #s(literal 3 binary64))) |
y |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 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)) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) |
(*.f64 (neg.f64 y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(*.f64 y (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
y |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.241235144141322 | (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 5.104356706309595 | (*.f64 y (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 9.723620426213216 | (/.f64 x (fma.f64 x y #s(literal 1 binary64))) | |
| accuracy | 14.305067389780714 | (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.24513627930532603 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.2731808044407217 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| accuracy | 14.811254521209568 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 x (neg.f64 y)) x x) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) | |
| accuracy | 0.3072905812550536 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) | |
| accuracy | 7.903618519300908 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 16.080774963133752 | (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) | |
| accuracy | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 0.1909046580196444 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
| 127.0ms | 256× | 0 | valid |
Compiled 214 to 37 computations (82.7% saved)
ival-mult: 20.0ms (28.5% of total)ival-pow: 20.0ms (28.5% of total)ival-div: 13.0ms (18.5% of total)ival-add: 12.0ms (17.1% of total)ival-pow2: 3.0ms (4.3% of total)ival-sub: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1))) |
| 7.0ms | x | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1))) |
| 4.0ms | y | @ | -inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1))) |
| 4.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1))) |
| 4.0ms | y | @ | 0 | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1))) |
| 1× | egg-herbie |
| 9 770× | lower-fma.f64 |
| 9 770× | lower-fma.f32 |
| 3 956× | lower-*.f64 |
| 3 956× | lower-*.f32 |
| 2 206× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 3651 |
| 1 | 774 | 3440 |
| 2 | 1888 | 3417 |
| 3 | 6158 | 3417 |
| 0 | 8573 | 3387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (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 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(/ 1 x) |
(+ y (/ 1 x)) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x 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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -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)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x 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 3) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* -1 (* (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)) |
(* -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))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 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 (* (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 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -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) 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* -1 (* (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)) |
(* -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 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
x |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (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 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 1 x) |
(/ (+ 1 (* x y)) x) |
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x) |
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
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(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -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))) |
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(* -1 (* x y)) |
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(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
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(* -1 (* (pow x 3) (pow y 2))) |
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(* (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 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
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(* (pow x 2) (pow y 2)) |
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(* (pow x 3) (pow y 2)) |
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(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x 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 (* (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 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (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) (- (/ 1 (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) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) (pow y 2)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 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)) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ y (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) y) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y))) y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (- x (/ 1 y)))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- x (/ 1 y)))) |
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(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x)) x) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 (/.f64 #s(literal 1 binary64) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) 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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 y y) x) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (pow y 2)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) y) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x)) x) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 (/.f64 #s(literal 1 binary64) y) x)) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) 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) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x)) |
| 5 874× | lower-fma.f32 |
| 5 862× | lower-fma.f64 |
| 4 096× | lower-*.f32 |
| 4 082× | lower-*.f64 |
| 3 868× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 162 |
| 0 | 60 | 157 |
| 1 | 257 | 148 |
| 2 | 1640 | 141 |
| 0 | 8732 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(*.f64 x (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) |
(*.f64 y (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) |
(*.f64 y x) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 (*.f64 y x)) (log.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (*.f64 y x)) (log.f64 x)))) |
(*.f64 (exp.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x (exp.f64 (log.f64 y))) |
(*.f64 x (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (*.f64 y x))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
Compiled 36 872 to 3 304 computations (91% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 877 | 5 | 1 882 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 881 | 11 | 1 892 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.3% | (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 64.0% | (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 26.2% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 99.9% | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| ▶ | 53.2% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
| ▶ | 46.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
| ✓ | 53.2% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.8% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 47.0% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 184 to 137 computations (25.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) y) y) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) | |
| cost-diff | -384 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) | |
| cost-diff | 1664 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| 14 192× | lower-fma.f32 |
| 14 188× | lower-fma.f64 |
| 2 524× | lower-+.f64 |
| 2 524× | lower-+.f32 |
| 1 916× | lower-*.f32 |
Useful iterations: 13 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 235 |
| 0 | 58 | 233 |
| 1 | 102 | 221 |
| 2 | 190 | 221 |
| 3 | 344 | 215 |
| 4 | 501 | 215 |
| 5 | 1111 | 215 |
| 6 | 2200 | 215 |
| 7 | 3304 | 215 |
| 8 | 4593 | 215 |
| 9 | 5493 | 215 |
| 10 | 6291 | 215 |
| 11 | 6798 | 215 |
| 12 | 7111 | 215 |
| 13 | 7175 | 214 |
| 0 | 8221 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 y (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 x) |
x |
y |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2731808044407217 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) | |
| accuracy | 2.8767008214083805 | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) | |
| accuracy | 14.811254521209568 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 30.388567970392113 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) | |
| accuracy | 0.41931216780819414 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 7.518532722963564 | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) | |
| accuracy | 30.40038984754187 | #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0625 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) | |
| accuracy | 0.234375 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 30.56242622099909 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) | |
| accuracy | 0.3072905812550536 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) | |
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| accuracy | 0.1909046580196444 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
| 92.0ms | 256× | 0 | valid |
Compiled 191 to 36 computations (81.2% saved)
ival-div: 45.0ms (60.2% of total)ival-mult: 17.0ms (22.7% of total)ival-add: 6.0ms (8% of total)ival-pow2: 3.0ms (4% of total)ival-neg: 2.0ms (2.7% of total)ival-sub: 1.0ms (1.3% 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 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ 1 (* x y))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x)) |
| 7.0ms | y | @ | 0 | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x)) |
| 6.0ms | x | @ | inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x)) |
| 3.0ms | y | @ | inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x)) |
| 3.0ms | x | @ | 0 | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x)) |
| 1× | egg-herbie |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 4 548× | lower-*.f64 |
| 4 548× | lower-*.f32 |
| 2 310× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 3922 |
| 1 | 570 | 3730 |
| 2 | 1440 | 3684 |
| 3 | 5242 | 3682 |
| 0 | 8148 | 3600 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
-1 |
(- (* x y) 1) |
(- (* x y) 1) |
(- (* x y) 1) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 x) |
(+ (* -1 x) (* (pow x 2) y)) |
(+ (* -1 x) (* (pow x 2) y)) |
(+ (* -1 x) (* (pow x 2) y)) |
(/ 1 x) |
(+ y (/ 1 x)) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(/ 1 x) |
(+ y (/ 1 x)) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
1 |
(+ 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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -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) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* x y) |
(* y (- x (/ 1 y))) |
(* y (- x (/ 1 y))) |
(* y (- x (/ 1 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))) |
(* (pow x 2) y) |
(* y (+ (* -1 (/ x y)) (pow x 2))) |
(* y (+ (* -1 (/ x y)) (pow x 2))) |
(* y (+ (* -1 (/ x y)) (pow x 2))) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 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 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* -1 (* (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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x 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) (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) 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 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 1 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) |
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y)))) |
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y)))) |
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y)))) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) 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 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) 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 (* (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) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) |
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(* -1 (* (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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
-1 |
(- (* x y) 1) |
(- (* x y) 1) |
(- (* x y) 1) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 x) |
(* x (- (* x y) 1)) |
(* x (- (* x y) 1)) |
(* x (- (* x y) 1)) |
(/ 1 x) |
(/ (+ 1 (* x y)) x) |
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x) |
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(/ 1 x) |
(/ (+ 1 (* x y)) x) |
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x) |
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
x |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2))))) |
1 |
(+ 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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -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) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x y) |
(* x (- y (/ 1 x))) |
(* x (- y (/ 1 x))) |
(* x (- 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))) |
(* (pow x 2) y) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2)) |
(* -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 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -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)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* -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 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 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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) (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) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(* -1 (* x (+ (* -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))) |
(* (pow x 2) y) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(/ -1 (* (pow x 2) y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(* -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 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -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)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (* (pow x 2) y)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (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) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* (pow x 2) y)) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(+ (* -1 x) (* (pow x 2) y)) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(+ (* -1 x) (* (pow x 2) y)) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ y (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) y) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64)) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ y (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) y) |
(+ (* y (+ 1 (* x y))) (/ 1 x)) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x)) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
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(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) (- y (/ 1 x))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(* (pow x 2) (- y (/ 1 x))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(* (pow x 2) (- y (/ 1 x))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x)) x) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x)) x) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x)) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (* (pow x 2) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
| 6 904× | lower-fma.f32 |
| 6 900× | lower-fma.f64 |
| 3 552× | lower-*.f32 |
| 3 540× | lower-*.f64 |
| 2 974× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 205 |
| 0 | 58 | 203 |
| 1 | 242 | 181 |
| 2 | 1477 | 176 |
| 0 | 9097 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 y x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (neg.f64 x) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y x) x)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)) |
(*.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x))))))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
(*.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x) #s(literal -1 binary64)) |
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(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 y x) y) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 x) (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 y (*.f64 (*.f64 (neg.f64 y) x) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 x (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)))) |
(*.f64 x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 y x) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 y))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) |
(neg.f64 (*.f64 x (*.f64 (*.f64 y x) y))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y x)) x)) |
(neg.f64 (*.f64 (*.f64 x (*.f64 y y)) x)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 y y)) (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
Compiled 30 783 to 3 784 computations (87.7% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 729 | 5 | 1 734 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 735 | 10 | 1 745 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 99.7% | (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| 33.2% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) x)) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) | |
| 53.2% | (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) | |
| 53.2% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) x))) | |
| ✓ | 46.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
| ✓ | 53.2% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.8% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 47.0% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 395 to 173 computations (56.2% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) x)) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
3 calls:
| 9.0ms | y |
| 7.0ms | x |
| 7.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 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 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 6.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 2.0ms | 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 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | x |
| 81.6% | 3 | y |
| 84.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
1 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | x |
| 49.8% | 1 | y |
| 49.8% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.891352615172613e+177 | 2.535389484679713e+201 |
| 0.0ms | -5.210191298701525e+68 | -1.2284272598544895e+66 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.891352615172613e+177 | 2.535389484679713e+201 |
| 0.0ms | -5.210191298701525e+68 | -1.2284272598544895e+66 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 24× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 1 | 48 | 133 |
| 2 | 62 | 133 |
| 3 | 75 | 133 |
| 4 | 80 | 133 |
| 5 | 81 | 133 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
| 21 824× | lower-fma.f64 |
| 21 824× | lower-fma.f32 |
| 4 738× | lower-fma.f64 |
| 4 738× | lower-fma.f32 |
| 4 354× | 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 |
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2408 | 332 |
| 5 | 5858 | 332 |
| 0 | 8081 | 332 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 129 to 56 computations (56.6% saved)
Compiled 202 to 62 computations (69.3% saved)
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