
Time bar (total: 7.4s)
| 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)
| 990.0ms | 8 256× | 0 | valid |
ival-mult: 453.0ms (54.3% of total)ival-sub: 367.0ms (44% of total)ival-true: 6.0ms (0.7% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.4% 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 10.0ms (73.6% of total)ival-sub: 3.0ms (22.1% 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 | 0.0546875 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 4.0ms (76% of total)ival-sub: 1.0ms (19% 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 | x | @ | inf | ((* 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)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 9 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 675 | 10 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| 65.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) | |
| ▶ | 78.9% | (/.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))) |
| 82.5% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| 82.5% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) | |
| ▶ | 82.6% | (*.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)))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ▶ | 79.4% | (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
| ▶ | 53.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 50.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 48.2% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 249 to 170 computations (31.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) | |
| cost-diff | 6976 | (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.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 | 0 | (/.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 | (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) | |
| cost-diff | 1792 | (/.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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 243 |
| 0 | 56 | 232 |
| 1 | 116 | 232 |
| 2 | 269 | 202 |
| 3 | 790 | 202 |
| 4 | 2637 | 202 |
| 5 | 6908 | 202 |
| 0 | 8264 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)))) |
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))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) |
#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)) |
y |
#s(literal -1 binary64) |
(*.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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
x |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.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)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x) |
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))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64))) |
#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)) |
y |
#s(literal -1 binary64) |
(*.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 (neg.f64 y) x)) 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 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
x |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4869138170332373 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 6.93079171998385 | (*.f64 (*.f64 x (neg.f64 x)) y) | |
| accuracy | 8.208245851939926 | (/.f64 y (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 8.898303064720032 | (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.23894501953688405 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.5281140547313669 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) | |
| accuracy | 12.185918503242885 | (/.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 | 0.0546875 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 30.66674451241591 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0.0546875 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 32.2310860352048 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) | |
| accuracy | 0.0546875 | (*.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)))) | |
| accuracy | 0.14519501953688402 | (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) | |
| accuracy | 14.241171413593793 | (/.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))) |
| 65.0ms | 256× | 0 | valid |
Compiled 252 to 32 computations (87.3% saved)
ival-mult: 17.0ms (40.8% of total)ival-div: 5.0ms (12% of total)ival-sub: 5.0ms (12% of total)ival-pow: 5.0ms (12% of total)ival-add: 4.0ms (9.6% of total)ival-pow2: 3.0ms (7.2% of total)ival-neg: 2.0ms (4.8% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) #<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 (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 (*.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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (* x y)) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#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 (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#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 (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#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 (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#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) (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 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 (* x y)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | inf | ((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y)) |
| 6.0ms | x | @ | 0 | ((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y)) |
| 6.0ms | y | @ | -inf | ((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y)) |
| 5.0ms | y | @ | 0 | ((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y)) |
| 5.0ms | y | @ | inf | ((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 4014 |
| 1 | 1137 | 3715 |
| 2 | 2947 | 3548 |
| 0 | 8948 | 3465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
-1 |
(- (* 2 (* x y)) 1) |
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) |
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x 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))) |
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)) |
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 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
y |
(* y (+ 1 (* -1 (* x y)))) |
(* y (+ 1 (* y (- (* (pow x 2) y) x)))) |
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (* 2 (/ x y)) (pow x 2))) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2))) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 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 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 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 (* x y)) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (* 2 (/ x y)) (pow x 2))) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) (* 2 x)) y)) (pow x 2))) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) (* 2 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)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 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 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- 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)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
-1 |
(- (* 2 (* x y)) 1) |
(- (* x (- (* -1 (* x (pow y 2))) (* -2 y))) 1) |
(- (* x (- (* -1 (* x (pow y 2))) (* -2 y))) 1) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -2 (* x y))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
(+ 1 (* x (+ (* -2 y) (* x (pow y 2))))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
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)) |
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 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
y |
(+ y (* -1 (* x (pow y 2)))) |
(+ y (* x (- (* x (pow y 3)) (pow y 2)))) |
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ y x)) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ 1 x)) x)) (pow y 2))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2)))) |
(* -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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* (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 (* 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)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(/ 1 x) |
(/ (- 1 (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x) |
(* -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)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 2 (/ y x)) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) x)) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) 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))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(* -1 (* (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* 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 (* x y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(/ 1 x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
| Outputs |
|---|
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)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (* x y)) 1) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) #s(literal -1 binary64)) |
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 y x #s(literal -2 binary64))) y #s(literal -1 binary64)) |
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) |
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 y x #s(literal -2 binary64))) y #s(literal -1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (* x y))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y)))) |
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y 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)) |
(* -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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) 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 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
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(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow x 2) (- (* 2 (/ y x)) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 y x #s(literal -2 binary64))) y) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) x)) (pow y 2))) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) x)) (pow y 2))) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2))) |
(*.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2))) |
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* 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 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) y) |
(* -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 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #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 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(neg.f64 (fma.f64 y x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 x) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 0 | 56 | 198 |
| 1 | 219 | 198 |
| 2 | 1580 | 177 |
| 0 | 8649 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (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)))) |
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) |
(*.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 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
| Outputs |
|---|
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Compiled 56 673 to 5 789 computations (89.8% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 092 | 7 | 2 099 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 098 | 11 | 2 109 |
| Status | Accuracy | Program |
|---|---|---|
| 57.6% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) | |
| ▶ | 78.9% | (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
| 77.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| ▶ | 22.4% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 86.2% | (*.f64 (*.f64 (fma.f64 (neg.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))) |
| ▶ | 57.5% | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 41.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) | |
| ✓ | 53.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 50.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 48.2% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 360 to 193 computations (46.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 1088 | (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) | |
| cost-diff | 2816 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (neg.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))) | |
| cost-diff | 1792 | (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 403 |
| 0 | 73 | 405 |
| 1 | 178 | 367 |
| 2 | 501 | 327 |
| 3 | 2394 | 309 |
| 4 | 5741 | 297 |
| 0 | 8124 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (neg.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 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(neg.f64 x) |
x |
y |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(fma.f64 x y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(*.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 x y) |
y |
(fma.f64 x y #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (neg.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 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(neg.f64 x) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
x |
y |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(/.f64 x (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 x y #s(literal -1 binary64)) |
(fma.f64 y x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(*.f64 x y) |
(*.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 x y) |
(*.f64 y x) |
y |
(fma.f64 x y #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14519501953688402 | (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.23246005861065205 | (pow.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 6.503852581585352 | (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) | |
| accuracy | 25.539768220186186 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.14519501953688402 | (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.5281140547313669 | (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) | |
| accuracy | 12.185918503242885 | (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0.5281140547313669 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) | |
| accuracy | 12.185918503242885 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 15.32750625603043 | (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) | |
| accuracy | 30.803318682182315 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 6.93079171998385 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| accuracy | 30.030513944201576 | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 (neg.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))) | |
| accuracy | 8.23753223791546 | (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) | |
| accuracy | 8.242898337789077 | (/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
| 149.0ms | 256× | 0 | valid |
Compiled 417 to 43 computations (89.7% saved)
ival-mult: 98.0ms (76.1% of total)ival-add: 10.0ms (7.8% of total)ival-div: 6.0ms (4.7% of total)ival-sub: 4.0ms (3.1% of total)ival-pow: 4.0ms (3.1% of total)ival-pow2: 3.0ms (2.3% of total)ival-neg: 3.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (neg.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))) (patch (*.f64 (*.f64 (fma.f64 (neg.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (patch (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #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 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #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 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #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 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.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))) (patch (*.f64 (*.f64 (fma.f64 (neg.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.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))) (patch (*.f64 (*.f64 (fma.f64 (neg.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.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))) (patch (*.f64 (*.f64 (fma.f64 (neg.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.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))) (patch (*.f64 (*.f64 (fma.f64 (neg.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))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x 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 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.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 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.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 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.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 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | 0 | ((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1)) |
| 23.0ms | x | @ | 0 | ((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1)) |
| 19.0ms | x | @ | -inf | ((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1)) |
| 14.0ms | y | @ | -inf | ((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1)) |
| 12.0ms | x | @ | inf | ((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 4832 |
| 1 | 1507 | 4345 |
| 2 | 4908 | 4193 |
| 0 | 8428 | 4090 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* -1 x) |
(* -1 x) |
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(pow x 2) |
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(* x (- (+ (* -1 y) (+ (* 2 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (* (pow x 3) y))) (/ 1 x))) (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) y)))))) |
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(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
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(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
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(* (pow x 2) (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (pow x 2))) (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1 y) (+ (* 2 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (* (pow x 3) y))) (/ 1 x))) (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) y)))))) |
(/ 1 y) |
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(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 4)))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (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)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(* -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 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- 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 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* (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 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (pow x 5) (pow y 5))) |
(* -1 (* (pow x 5) (- (/ (pow y 4) x) (* -1 (pow y 5))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 4)) x)) (* -1 (pow y 5))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)) x)) (* -1 (pow y 5))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) 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 y) |
(+ (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (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)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.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))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) 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 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))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) 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)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 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))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x (* 2 x)))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* -1 (* y (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))))) (* 2 x)))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x (fma.f64 x #s(literal -1 binary64) x)) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (* y (- (* -1 (pow x 3)) (+ (* -2 (* x (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x))))))) (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1 binary64) x)) #s(literal -2 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal -1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) y)) y (neg.f64 x)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* -1 (* (pow x 3) y)) (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y (*.f64 x x)) y x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
x |
(+ x (* y (- (pow x 2) (* 2 (pow x 2))))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (+ (* y (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 2)) (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 0 binary64) y)) y x) |
(+ x (* y (- (+ (* y (- (+ (* y (- (* -1 (pow x 4)) (+ (* 2 (* x (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 4)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (pow x 2) (* 2 (pow x 2)))))))) (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 2)) (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 0 binary64) x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) y #s(literal 0 binary64)) y (*.f64 (neg.f64 x) x)) y x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) x) |
(+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (pow x 2)))) |
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y (neg.f64 x)) |
(+ (* -1 x) (* y (- (* y (- (* -1 (* (pow x 4) y)) (pow x 3))) (pow x 2)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 x #s(literal 3 binary64)))) y (*.f64 (neg.f64 x) x)) y (neg.f64 x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
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 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 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 y (neg.f64 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 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) 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 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* y (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))) (pow y 2))) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) (*.f64 y y)) x) y #s(literal 1 binary64)) |
(* y (- (+ (* -1 x) (+ (* 2 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))) (* x (pow y 3)))) (/ 1 y))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (pow x 3) (pow y 2)))) (* 3 (/ 1 (* x (pow y 2))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) (*.f64 y y))) y) |
(* -1 (* (pow x 5) (pow y 5))) |
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(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (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)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- y (/ 1 x)))) |
(fma.f64 y (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* (pow x 5) (pow y 5))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (/ (pow y 4) x) (* -1 (pow y 5))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 4)) x)) (* -1 (pow y 5))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)) x)) (* -1 (pow y 5))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) x) (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (*.f64 (fma.f64 y y (/.f64 y x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) |
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.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)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x 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))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (*.f64 (fma.f64 y y (/.f64 y x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 324 |
| 0 | 73 | 247 |
| 1 | 319 | 197 |
| 2 | 2309 | 190 |
| 0 | 8927 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.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))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(neg.f64 x) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(neg.f64 y) |
(*.f64 x x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(*.f64 (neg.f64 y) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 y) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 x (fma.f64 x y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 120 765 to 7 266 computations (94% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 868 | 4 | 2 872 |
| Fresh | 1 | 2 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 873 | 10 | 2 883 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.6% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
| ▶ | 24.0% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
| ▶ | 31.9% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
| 56.1% | (*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| ▶ | 41.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) |
| ✓ | 53.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 50.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 82.1% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
| ✓ | 48.2% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 289 to 163 computations (43.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) | |
| cost-diff | 960 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) x) x) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) y) | |
| cost-diff | 1344 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 416 |
| 0 | 86 | 417 |
| 1 | 182 | 379 |
| 2 | 507 | 335 |
| 3 | 2296 | 333 |
| 4 | 7505 | 333 |
| 0 | 8854 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(fma.f64 (neg.f64 x) x (/.f64 x y)) |
(neg.f64 x) |
x |
(/.f64 x y) |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) |
x |
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
#s(literal 0 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) y) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(fma.f64 (neg.f64 x) y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 x y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (fma.f64 (neg.f64 x) (*.f64 x y) x)) |
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
(fma.f64 (neg.f64 x) (*.f64 x y) x) |
(fma.f64 (neg.f64 x) x (/.f64 x y)) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(neg.f64 x) |
x |
(/.f64 x y) |
y |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x) |
x |
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
#s(literal 0 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) y) |
y |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(fma.f64 (neg.f64 x) y #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) x) |
(fma.f64 x y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) |
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.611338294388634 | (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) | |
| accuracy | 6.93079171998385 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| accuracy | 14.726492318227013 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) | |
| accuracy | 20.028805373458987 | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) | |
| accuracy | 2.016514384514189 | (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) | |
| accuracy | 7.883610017118883 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 12.185918503242885 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 30.803318682182315 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) | |
| accuracy | 0.5281140547313669 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) | |
| accuracy | 4.611338294388634 | (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) | |
| accuracy | 12.185918503242885 | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 30.803318682182315 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.0546875 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) | |
| accuracy | 29.07777462702527 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) | |
| accuracy | 30.66674451241591 | #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) | |
| accuracy | 2.507784976055602 | (fma.f64 (neg.f64 x) x (/.f64 x y)) | |
| accuracy | 9.640250846899558 | (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
| 119.0ms | 256× | 0 | valid |
Compiled 346 to 45 computations (87% saved)
ival-mult: 58.0ms (59.3% of total)ival-pow2: 19.0ms (19.4% of total)ival-div: 7.0ms (7.2% of total)ival-add: 7.0ms (7.2% of total)ival-sub: 4.0ms (4.1% of total)ival-neg: 2.0ms (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 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) x) (patch (*.f64 (*.f64 (neg.f64 y) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) 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 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) 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 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) 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 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (pow y 3)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (/ (pow y 2) x) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (pow y 2)) (/ y x)) x)) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* -1 (pow y 2))) x)) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<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) 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) 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 (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y)) |
| 4.0ms | y | @ | inf | ((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y)) |
| 4.0ms | y | @ | 0 | ((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 4217 |
| 1 | 878 | 3879 |
| 2 | 2923 | 3794 |
| 0 | 8766 | 3773 |
| 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))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(/ x y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* (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 |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* (pow x 3) y)))) |
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* y (+ (* (pow x 4) y) (pow x 3)))))) |
x |
(+ x (* y (- (pow x 2) (* 2 (pow x 2))))) |
(+ x (* y (- (+ (* y (- (* -1 (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3)))) (pow x 2)) (* 2 (pow x 2))))) |
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(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
| 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))) |
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))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y) |
(/ (+ x (* -1 (* (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 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))) |
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))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
x |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(+ x (* -1 (* (pow x 3) (pow y 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* (pow x 2) y))) |
(*.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* (pow x 3) y)))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal -1 binary64)) x) |
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* y (+ (* (pow x 4) y) (pow x 3)))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 x #s(literal 3 binary64))) y (*.f64 (neg.f64 x) x)) y (neg.f64 x)) |
x |
(+ x (* y (- (pow x 2) (* 2 (pow x 2))))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (+ (* y (- (* -1 (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3)))) (pow x 2)) (* 2 (pow x 2))))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (+ (* y (- (+ (* -1 (pow x 3)) (* y (- (* -1 (pow x 4)) (+ (* 2 (* x (- (* -1 (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3))))) (* (pow x 2) (- (pow x 2) (* 2 (pow x 2)))))))) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3)))) (pow x 2)) (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) y #s(literal 0 binary64)) y (*.f64 (neg.f64 x) x)) y x) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) 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)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (/ x y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(+ (* -1 (pow x 2)) (/ x y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(+ (* -1 (pow x 2)) (/ x y)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) y) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow x 4) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow y 3) (+ (/ (pow x 3) y) (pow x 4))) |
(*.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 3) y) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 3) y) (pow x 4))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 #s(literal -1 binary64) y) x) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* y (- (+ (* -1 (/ x y)) (* -1 (pow x 2))) (* -2 (/ x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) y) |
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (pow x 2)) (/ 2 (pow y 2)))) (+ (* -2 (/ x y)) (* 2 (/ (- (* -1 x) (* -2 x)) (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 2 binary64) (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 2 binary64) (*.f64 y y))) y) |
(* y (- (+ (* -2 (/ (- 2 (* 2 (/ (- (* -1 x) (* -2 x)) x))) (* x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (pow x 2)) (/ 2 (pow y 2))))) (+ (* -2 (/ x y)) (* 2 (/ (- (* -1 x) (* -2 x)) (* x (pow y 2))))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 x) x (/.f64 #s(literal 2 binary64) (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 2 binary64) (*.f64 y y))) y) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) 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)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* (pow x 2) (- (/ 1 (* x y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* (pow x 2) (- (/ 1 (* x y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (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 2) x) (pow y 3))) |
(*.f64 (*.f64 y (fma.f64 y y (/.f64 y x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ y (pow x 2))) (+ (/ (pow y 2) x) (pow y 3)))) |
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ y (pow x 2))) (+ (/ (pow y 2) x) (pow y 3))) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -1 binary64) x) y) (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 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* x (- (/ 1 x) y)) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (* x y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* (pow x 2) (- (/ 1 (* x y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* (pow x 2) (- (/ 1 (* x y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (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 2) x) (pow y 3))) |
(*.f64 (*.f64 y (fma.f64 y y (/.f64 y x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (pow y 2)) (/ y x)) x)) (pow y 3))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (/.f64 y x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* -1 (pow y 2))) x)) (pow y 3))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) y) x)) x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* x (+ (* -1 y) (/ 1 x))) |
(fma.f64 (neg.f64 x) y #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 327 |
| 0 | 86 | 309 |
| 1 | 339 | 266 |
| 2 | 2454 | 263 |
| 0 | 8937 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
(fma.f64 (neg.f64 x) x (/.f64 x y)) |
(neg.f64 x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(+.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) |
(*.f64 y y) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) |
| Outputs |
|---|
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Compiled 47 136 to 4 617 computations (90.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 681 | 1 | 1 682 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 682 | 10 | 1 692 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 57.6% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
| ✓ | 24.0% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
| ✓ | 31.9% | (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
| 56.1% | (*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 41.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))) | |
| ✓ | 53.0% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 50.1% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 82.1% | #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
| ✓ | 48.2% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 543 to 206 computations (62.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.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 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)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 9.0ms | x |
| 8.0ms | y |
| 7.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | x |
| 75.4% | 3 | y |
| 87.6% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
1 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 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 |
|---|---|---|
| 50.1% | 1 | y |
| 50.1% | 1 | x |
| 50.1% | 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 | 2.160489138503835e+72 | 5.603344414327188e+73 |
| 0.0ms | -1.260690267719766e+39 | -9.473032226794846e+38 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.160489138503835e+72 | 5.603344414327188e+73 |
| 0.0ms | -1.260690267719766e+39 | -9.473032226794846e+38 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 126 |
| 1 | 47 | 126 |
| 2 | 61 | 126 |
| 3 | 74 | 126 |
| 4 | 79 | 126 |
| 5 | 80 | 126 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 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 3999999999999999775207243795178284096228896516082202126176495568225828864 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 -999999999999999939709166371603178586112 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 3999999999999999775207243795178284096228896516082202126176495568225828864 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 |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 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 3999999999999999775207243795178284096228896516082202126176495568225828864 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 y x)) x) #s(literal -999999999999999939709166371603178586112 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 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 3999999999999999775207243795178284096228896516082202126176495568225828864 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 y x)) x) #s(literal -999999999999999939709166371603178586112 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 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: 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 108 to 46 computations (57.4% saved)
Compiled 188 to 60 computations (68.1% saved)
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