
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 409.0ms | 8 256× | 0 | valid |
ival-mult: 158.0ms (71.5% of total)ival-sub: 48.0ms (21.7% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.3% of total)ival-assert: 4.0ms (1.8% 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 |
| 43.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 26.0ms (87.6% of total)ival-sub: 2.0ms (6.7% 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 |
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))) |
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 | 0.0703125 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 3.0ms (59.7% of total)ival-sub: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 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 |
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) |
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 |
|---|
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Compiled 20 840 to 1 642 computations (92.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 9 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 676 | 9 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 77.1% | (/.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))) |
| 62.6% | (*.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)))) | |
| 77.1% | (*.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))) | |
| ▶ | 61.2% | (*.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)))) |
| 78.9% | (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) | |
| ▶ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 48.5% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 47.5% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 228 to 156 computations (31.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| cost-diff | 128 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) | |
| cost-diff | 320 | (*.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)))) | |
| 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 (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 | #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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 194 |
| 0 | 48 | 187 |
| 1 | 98 | 186 |
| 2 | 225 | 183 |
| 3 | 736 | 183 |
| 4 | 1618 | 183 |
| 5 | 3380 | 183 |
| 6 | 5208 | 183 |
| 7 | 7143 | 183 |
| 8 | 7757 | 183 |
| 0 | 8050 | 183 |
| 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) |
(*.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 (-.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)) |
(*.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)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
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))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.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) |
(*.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 (-.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 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 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) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #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 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
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 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.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 | 0.22236254884221007 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 0.6428465290417444 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 0.951002094312198 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| accuracy | 21.434187034959375 | (*.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)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.23046875 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 1.1902679766075042 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| accuracy | 12.667207297212288 | (/.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 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 30.132171309967767 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 33.22949688086644 | #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) |
| 404.0ms | 256× | 0 | valid |
Compiled 366 to 55 computations (85% saved)
ival-mult: 331.0ms (85.5% of total)ival-add: 40.0ms (10.3% of total)ival-pow: 4.0ms (1% of total)ival-div: 3.0ms (0.8% of total)ival-sub: 3.0ms (0.8% of total)ival-pow2: 3.0ms (0.8% of total)ival-neg: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (*.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 (-.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 (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 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>) () ())) ()) |
#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 x (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (taylor 0 y) (#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 (* -1 (* x y))) (taylor 0 y) (#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 (* -1 (* x y))) (taylor 0 y) (#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 (* -1 (* x y))) (taylor 0 y) (#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>) () ())) ()) |
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#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 (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow y 3)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 4) (pow y 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | y | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3)) |
| 7.0ms | x | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3)) |
| 5.0ms | x | @ | 0 | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3)) |
| 5.0ms | x | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3)) |
| 4.0ms | y | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 3178 |
| 1 | 700 | 2964 |
| 2 | 2054 | 2951 |
| 3 | 7974 | 2951 |
| 0 | 8134 | 2941 |
| 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 |
(+ 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))) |
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 (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(* -1 x) |
(- (* (pow x 4) (pow y 3)) x) |
(- (* (pow x 4) (pow y 3)) x) |
(- (* (pow x 4) (pow y 3)) x) |
x |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
1 |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
-1 |
(- (* x y) 1) |
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -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 (* 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 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 4) (pow y 3)) |
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4)))) |
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4)))) |
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4)))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2)) |
(/ (- (+ (/ 1 (* (pow x 3) y)) (/ 1 (* (pow x 6) (pow y 4)))) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -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 (* 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 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 4) (pow y 3)) |
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4)))) |
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4)))) |
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4)))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (+ (/ 1 (* (pow x 6) (pow y 3))) (/ 1 (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
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 |
(+ 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)))) |
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 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* -1 x) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
x |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
1 |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
-1 |
(- (* x y) 1) |
(- (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (pow y 3)))) (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -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 (* 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 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))) |
(* (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 4) (pow y 3)) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(/ (- (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6)))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -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 (* 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 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 4) (pow y 3)) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
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 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (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 |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(- (* (pow x 4) (pow y 3)) x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
(- (* (pow x 4) (pow y 3)) x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
(- (* (pow x 4) (pow y 3)) x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
x |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) y #s(literal -1 binary64)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 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 (*.f64 (neg.f64 x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
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(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(*.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (pow y 3)))) (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x) x y) x #s(literal -1 binary64)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* (pow x 3) (+ (* -1 (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 (*.f64 y y) x) (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (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) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 4) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y y)) |
(/ (- (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6)))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x))) (*.f64 x x)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #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 (*.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 (*.f64 y y) x) (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (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) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(* (pow x 4) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 4) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y y)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 x x)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 153 |
| 0 | 48 | 131 |
| 1 | 192 | 131 |
| 2 | 1243 | 130 |
| 0 | 8925 | 130 |
| 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)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(/.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)) |
(*.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)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 41 913 to 2 692 computations (93.6% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 794 | 6 | 1 800 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 799 | 10 | 1 809 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 77.1% | (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #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) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
| 62.6% | (*.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)))) | |
| 77.1% | (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))) | |
| ▶ | 36.6% | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
| ✓ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 48.5% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 47.5% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 194 to 140 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x y #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) | |
| cost-diff | 1024 | (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) 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)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 197 |
| 0 | 58 | 200 |
| 1 | 116 | 190 |
| 2 | 226 | 174 |
| 3 | 468 | 173 |
| 4 | 1570 | 173 |
| 5 | 3846 | 173 |
| 6 | 6572 | 173 |
| 0 | 8253 | 173 |
| 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 |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
x |
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) |
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) |
(*.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 x (fma.f64 x y #s(literal -1 binary64))) |
x |
(fma.f64 x y #s(literal -1 binary64)) |
y |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(*.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 y x #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 |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) y) x)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) |
x |
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #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) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) |
#s(literal -1 binary64) |
(*.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x) |
x |
(fma.f64 x y #s(literal -1 binary64)) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 x) y) |
x |
(neg.f64 y) |
y |
(*.f64 x y) |
(*.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 1.1902679766075042 | (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) | |
| accuracy | 12.667207297212288 | (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 x y #s(literal -1 binary64)) | |
| accuracy | 0.0703125 | (*.f64 x (fma.f64 x y #s(literal -1 binary64))) | |
| accuracy | 0.1441968169224822 | (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) | |
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) | |
| accuracy | 9.16617803016937 | (*.f64 x (*.f64 (neg.f64 y) y)) | |
| accuracy | 17.16747948765265 | (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) | |
| accuracy | 30.132171309967767 | #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) | |
| accuracy | 0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 9.610538766057129 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| accuracy | 29.683259302599858 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) | |
| accuracy | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.078125 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 0.16345894551150147 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
| 82.0ms | 256× | 0 | valid |
Compiled 360 to 61 computations (83.1% saved)
ival-mult: 31.0ms (49.7% of total)ival-div: 17.0ms (27.3% of total)ival-add: 5.0ms (8% of total)ival-neg: 4.0ms (6.4% of total)ival-pow2: 3.0ms (4.8% of total)ival-sub: 2.0ms (3.2% 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 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 #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.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 x (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.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) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<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 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<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 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<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 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ 1 (* x y))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<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 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- y (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) 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 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) 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 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) 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 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1)) |
| 4.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1)) |
| 3.0ms | y | @ | inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1)) |
| 3.0ms | x | @ | 0 | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1)) |
| 3.0ms | y | @ | -inf | ((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 3154 |
| 1 | 592 | 2950 |
| 2 | 1483 | 2927 |
| 3 | 5101 | 2926 |
| 0 | 8513 | 2867 |
| 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) |
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)) |
(* -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 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 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 (* (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 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 |
(+ 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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)))) |
(* -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 (* (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 (* 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 y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) 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)) |
(* 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) |
(* (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))) |
(* 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))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 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 (* 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 (* (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 (* 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 y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -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)) |
(* -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)) |
(* (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)))) |
(* 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)))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (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 |
(+ 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)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x 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))) |
(* -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)))) |
(/ 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 x) |
(* x (- (* x y) 1)) |
(* x (- (* x y) 1)) |
(* x (- (* x y) 1)) |
-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)))) |
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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -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)))) |
(* -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)) |
(* 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)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x 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 (* 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)) |
(* -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)) |
(* (pow x 2) y) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 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))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (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)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* 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))) |
(* -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 x) |
(* -1 x) |
(* -1 x) |
(* -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 (* 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)) |
(* -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)) |
(* (pow x 2) y) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 x))) |
(* (pow x 2) (- y (/ 1 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))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x 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) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -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))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x 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 (* 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 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(* -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) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(+ x (* -1 (* (pow x 2) y))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ y (/ 1 x)) |
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(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) (*.f64 x x) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 y) (*.f64 x 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 (* 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) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 168 |
| 0 | 58 | 164 |
| 1 | 239 | 146 |
| 2 | 1485 | 121 |
| 0 | 9578 | 121 |
| 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) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) |
(*.f64 x (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(fma.f64 x y #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 y)) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 48 678 to 5 147 computations (89.4% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 492 | 7 | 2 499 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 497 | 12 | 2 509 |
| 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)) |
| ▶ | 99.9% | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| ▶ | 53.5% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
| 47.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) | |
| ✓ | 36.6% | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
| ▶ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
| ✓ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 48.5% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 19.2% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))) | |
| ▶ | 44.7% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
| ✓ | 47.5% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 170 to 138 computations (18.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| cost-diff | 960 | (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) | |
| cost-diff | 6848 | (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal -1 binary64) y)) | |
| 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 170 |
| 0 | 51 | 168 |
| 1 | 91 | 168 |
| 2 | 184 | 158 |
| 3 | 410 | 153 |
| 4 | 1208 | 153 |
| 5 | 3604 | 151 |
| 6 | 7083 | 151 |
| 0 | 8330 | 150 |
| 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 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
x |
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) |
(*.f64 y x) |
y |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
y |
| 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 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x) |
x |
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 y) x) x)) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) |
(*.f64 y x) |
y |
x |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.078125 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| accuracy | 0.21484375 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 30.357384308152753 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) | |
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.18359375 | (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.6079056705469397 | (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) | |
| accuracy | 11.54978759409471 | (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) | |
| accuracy | 29.683259302599858 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0703125 | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) | |
| accuracy | 0.21875 | (/.f64 x (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 30.132171309967767 | #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0.078125 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| accuracy | 0.16345894551150147 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
| 65.0ms | 256× | 0 | valid |
Compiled 271 to 53 computations (80.4% saved)
ival-div: 17.0ms (37.1% of total)ival-mult: 17.0ms (37.1% of total)ival-add: 4.0ms (8.7% of total)ival-pow2: 3.0ms (6.5% of total)ival-sub: 2.0ms (4.4% of total)ival-neg: 2.0ms (4.4% 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 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) (patch (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 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>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (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>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (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>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (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>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#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 (+ 1 (* x y)) (taylor 0 y) (#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 (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#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 (+ 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 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) 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 (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x)) |
| 3.0ms | x | @ | inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x)) |
| 3.0ms | y | @ | 0 | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x)) |
| 3.0ms | y | @ | inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x)) |
| 3.0ms | x | @ | -inf | ((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2532 |
| 1 | 384 | 2396 |
| 2 | 899 | 2372 |
| 3 | 3716 | 2372 |
| 0 | 8685 | 2330 |
| 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) |
(* -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 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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))) |
(* x y) |
(* x y) |
(* x y) |
(* 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 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 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) 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) |
(* x y) |
(* y (- x (/ 1 y))) |
(* y (- x (/ 1 y))) |
(* y (- x (/ 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 y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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))) |
(* 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 (* (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 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 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)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 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 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 (* (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)))) |
(* 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 (* (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 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) 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 |
(- (* x y) 1) |
(- (* x y) 1) |
(- (* x y) 1) |
(* -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))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 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)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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 (/ (+ (/ 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 (* 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)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (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) |
(/ -1 x) |
(/ -1 x) |
(/ -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 (/ (+ (/ 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 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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 (/ (+ (/ 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 (* 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)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (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) |
(/ -1 x) |
(/ -1 x) |
(/ -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 (/ (+ (/ 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 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 (* (pow x 3) y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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)) |
(* -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 |
#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) |
(/.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) |
(* -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))) |
(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) |
(* 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))) |
(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) |
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) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x 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 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -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 (/.f64 #s(literal -1 binary64) 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) |
(* x y) |
(*.f64 y x) |
(* y (- x (/ 1 y))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* y (- x (/ 1 y))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* y (- x (/ 1 y))) |
(fma.f64 y x #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)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* y (- (/ 1 y) x)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(/ -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) |
(* -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))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x 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))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(fma.f64 (*.f64 (neg.f64 x) y) x 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 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x 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 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) 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 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(fma.f64 y x #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)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(fma.f64 (*.f64 (neg.f64 x) y) x x) |
(* -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) |
(/.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) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
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(/.f64 #s(literal -1 binary64) 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) 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 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) x)) 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) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 (* (pow x 3) y)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 149 |
| 0 | 51 | 147 |
| 1 | 218 | 132 |
| 2 | 1362 | 122 |
| 0 | 9304 | 117 |
| 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 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
(*.f64 y x) |
(*.f64 (neg.f64 x) x) |
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 28 764 to 2 777 computations (90.3% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 727 | 4 | 1 731 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 731 | 12 | 1 743 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 53.5% | (/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x)) | |
| 53.5% | (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) | |
| ✓ | 53.5% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
| 47.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) | |
| 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ✓ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
| ✓ | 53.5% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 48.5% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 44.7% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
| 47.5% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x (/.f64 #s(literal -1 binary64) x)))) | |
| ✓ | 47.5% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 391 to 185 computations (52.7% 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))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.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 #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) |
(/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) |
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) |
(/.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)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))) |
(*.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 (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))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
3 calls:
| 12.0ms | x |
| 9.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 8.0ms | 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))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.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:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.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))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.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:
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | x |
| 77.4% | 3 | y |
| 82.7% | 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))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
| 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 |
|---|---|---|
| 80.2% | 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 | x |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 1 | x |
| 48.5% | 1 | y |
| 48.5% | 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 | 1.3513643758697694e+118 | 5.418281117798678e+118 |
| 0.0ms | -1.7927013163939104e+80 | -7.411839205065694e+73 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3513643758697694e+118 | 5.418281117798678e+118 |
| 0.0ms | -1.7927013163939104e+80 | -7.411839205065694e+73 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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) |
Useful iterations: 0 (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 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 129 to 56 computations (56.6% saved)
Compiled 202 to 62 computations (69.3% saved)
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