
Time bar (total: 5.4s)
| 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)
| 532.0ms | 8 256× | 0 | valid |
ival-mult: 147.0ms (65.3% of total)ival-sub: 63.0ms (28% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.2% of total)ival-assert: 3.0ms (1.3% 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 |
| 69.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 7.0ms (64.5% of total)ival-sub: 3.0ms (27.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 | 0.0625 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 4.0ms (76.2% of total)ival-sub: 1.0ms (19.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2408 | 332 |
| 5 | 5858 | 332 |
| 0 | 8081 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
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Compiled 20 840 to 1 642 computations (92.1% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 674 | 10 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 675 | 10 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 90.1% | (fma.f64 (*.f64 x (neg.f64 x)) y x) | |
| 64.8% | (/.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))) | |
| 76.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) | |
| ▶ | 79.5% | (*.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)))) |
| ▶ | 67.8% | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
| 72.5% | (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) | |
| ▶ | 49.9% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 52.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 45.4% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 232 to 162 computations (30.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) | |
| cost-diff | 7808 | (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 157 |
| 0 | 40 | 149 |
| 1 | 85 | 148 |
| 2 | 181 | 141 |
| 3 | 799 | 141 |
| 4 | 3216 | 141 |
| 5 | 4916 | 141 |
| 0 | 8809 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) |
x |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
#s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (-.f64 #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 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
x |
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) | |
| accuracy | 0.303730029305326 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.5107974824816371 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 22.867136439130515 | (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.303730029305326 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 3.8261437858473366 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 8.706340929377513 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0625 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 32.4907775087807 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0.0625 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 30.530568646739276 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 90.0ms | 256× | 0 | valid |
Compiled 288 to 45 computations (84.4% saved)
ival-neg: 30.0ms (39.8% of total)ival-div: 23.0ms (30.5% of total)ival-mult: 13.0ms (17.2% of total)ival-add: 4.0ms (5.3% of total)ival-sub: 3.0ms (4% of total)ival-pow2: 3.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x))) |
| 3.0ms | y | @ | 0 | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x))) |
| 3.0ms | x | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x))) |
| 3.0ms | x | @ | inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x))) |
| 3.0ms | y | @ | -inf | ((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2444 |
| 1 | 413 | 2262 |
| 2 | 964 | 2260 |
| 3 | 3224 | 2252 |
| 0 | 8270 | 2245 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* 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 (* (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 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* 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 (* (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 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (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 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* 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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.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 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x 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 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.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 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y 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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.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 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x 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 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 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y 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 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 125 |
| 0 | 40 | 116 |
| 1 | 166 | 109 |
| 0 | 1144 | 109 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (- 1 (* x y)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
| Outputs |
|---|
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Compiled 12 861 to 1 183 computations (90.8% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 875 | 5 | 880 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 880 | 10 | 890 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 90.1% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 64.8% | (/.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))) | |
| ▶ | 79.5% | (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| ▶ | 77.6% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| ▶ | 21.7% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| 67.8% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) | |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 52.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 45.4% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 214 to 144 computations (32.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 7552 | (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) | |
| cost-diff | 7552 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 x (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 213 |
| 0 | 53 | 189 |
| 1 | 116 | 182 |
| 2 | 185 | 182 |
| 3 | 359 | 182 |
| 4 | 973 | 182 |
| 5 | 1440 | 182 |
| 6 | 2263 | 182 |
| 7 | 3420 | 182 |
| 8 | 5162 | 182 |
| 9 | 7401 | 182 |
| 0 | 8058 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(*.f64 x y) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
x |
(neg.f64 x) |
y |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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))))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) x) y x) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
(*.f64 x y) |
(*.f64 y x) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.12337875976844201 | (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 3.8261437858473366 | (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 8.706340929377513 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x y) y) | |
| accuracy | 3.359976051103904 | (*.f64 (*.f64 (*.f64 x y) y) x) | |
| accuracy | 3.8261437858473366 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 8.706340929377513 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 3.8261437858473366 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 8.706340929377513 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 16.9834958860725 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) | |
| accuracy | 32.441567340706484 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 9.407525666413278 | (*.f64 (*.f64 (neg.f64 x) x) y) | |
| accuracy | 31.996572329509213 | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) | |
| accuracy | 0 | (*.f64 x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 6.316085885345969 | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 111.0ms | 256× | 0 | valid |
Compiled 393 to 56 computations (85.8% saved)
ival-mult: 55.0ms (58.3% of total)ival-sub: 26.0ms (27.6% of total)ival-add: 5.0ms (5.3% of total)ival-pow2: 3.0ms (3.2% of total)ival-div: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 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(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 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(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 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(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1)) |
| 2.0ms | x | @ | inf | ((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1)) |
| 2.0ms | x | @ | -inf | ((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1)) |
| 2.0ms | y | @ | inf | ((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1)) |
| 2.0ms | y | @ | 0 | ((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 2754 |
| 1 | 389 | 2590 |
| 2 | 911 | 2588 |
| 3 | 2582 | 2580 |
| 4 | 6885 | 2580 |
| 0 | 8207 | 2573 |
| 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))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
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)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(* (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 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* (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 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 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 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 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 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.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))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y 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 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) y x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 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 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y))) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 162 |
| 0 | 53 | 152 |
| 1 | 201 | 145 |
| 2 | 1181 | 137 |
| 0 | 9209 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 38 658 to 2 230 computations (94.2% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 733 | 3 | 1 736 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 736 | 10 | 1 746 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ✓ | 90.1% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| ▶ | 64.8% | (/.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))) |
| ▶ | 41.3% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 29.8% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| ▶ | 35.7% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 67.8% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 52.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 45.4% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 192 to 135 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| 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)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) | |
| cost-diff | 7808 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 328 |
| 0 | 74 | 322 |
| 1 | 159 | 290 |
| 2 | 353 | 288 |
| 3 | 1708 | 288 |
| 4 | 4479 | 288 |
| 5 | 7164 | 288 |
| 0 | 8245 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
#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 |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(*.f64 x y) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 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))))) |
#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 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(neg.f64 (pow.f64 (*.f64 y x) #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 |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| accuracy | 0.11947250976844201 | (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.24484257814753613 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 21.059307919246145 | (/.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))) | |
| accuracy | 3.3601036899664622 | (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) | |
| accuracy | 3.8261437858473366 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 8.706340929377513 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 32.441567340706484 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x y) y) | |
| accuracy | 3.359976051103904 | (*.f64 (*.f64 (*.f64 x y) y) x) | |
| accuracy | 3.8261437858473366 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 32.565084413251476 | #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 3.8261437858473366 | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 16.9834958860725 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) | |
| accuracy | 32.441567340706484 | #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) | |
| accuracy | 32.565084413251476 | #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0625 | (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) | |
| accuracy | 0.299823779305326 | (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) | |
| accuracy | 0.5107974824816371 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 22.867136439130515 | (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
| 135.0ms | 256× | 0 | valid |
Compiled 568 to 74 computations (87% saved)
ival-mult: 87.0ms (77.2% of total)ival-div: 7.0ms (6.2% of total)ival-pow: 5.0ms (4.4% of total)ival-add: 4.0ms (3.5% of total)ival-sub: 4.0ms (3.5% of total)ival-pow2: 3.0ms (2.7% of total)ival-neg: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<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 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#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 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 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 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<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 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 5.0ms | x | @ | -inf | ((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | x | @ | inf | ((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | y | @ | -inf | ((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | y | @ | inf | ((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 4596 |
| 1 | 691 | 4368 |
| 2 | 1817 | 4350 |
| 3 | 5602 | 4346 |
| 0 | 8290 | 4302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
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)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
x |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
1 |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(* -1 (* (pow x 2) (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) |
(* -1 (* (pow x 2) (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 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(+ 1 (* y (+ x (* (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) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* -1 (* (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)) |
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(* -1 (* (pow x 2) y)) |
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(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 4) (pow y 3))) |
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(* (pow x 3) (pow y 3)) |
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(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
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(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(* -1 (* (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(/ 1 y) |
(/ (- 1 (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y) |
(* -1 (* (pow x 2) (pow y 2))) |
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(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (/ x y) (pow x 2))) |
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(* -1 (* y (- x (/ 1 y)))) |
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(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
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(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
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(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
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(* -1 (* (pow x 2) y)) |
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(* -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 4) (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (* (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(/ 1 y) |
(* -1 (/ (- (/ 1 (* x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y)) |
(* -1 (* (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) (pow y 2)) |
(* (pow y 2) (+ (/ x y) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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 (* (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)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
x |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3))))) |
1 |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* -1 (* (pow x 2) (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* x (pow y 2)) y)))) |
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))) |
(* -1 (* (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 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(+ 1 (* x (+ y (* x (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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (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)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 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 (* (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))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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 (* (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)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(* -1 (* (pow x 2) (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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(* -1 (* (pow x 2) (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) (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 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 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (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)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 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 (* (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))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 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 (* (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)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 4) (pow y 3))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -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) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(* -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) (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 |
#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 (* 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) 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 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y 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 (* (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 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* -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 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
x |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x) |
1 |
#s(literal 1 binary64) |
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(* (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 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 274 |
| 0 | 74 | 263 |
| 1 | 264 | 222 |
| 2 | 1509 | 213 |
| 0 | 9043 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) |
(*.f64 (*.f64 (neg.f64 y) x) x) |
(*.f64 (neg.f64 y) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) |
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 48 649 to 5 310 computations (89.1% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 396 | 2 | 2 398 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 398 | 10 | 2 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ✓ | 90.1% | (fma.f64 (*.f64 x (neg.f64 x)) y x) |
| 44.0% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| 38.4% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 29.8% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
| ✓ | 35.7% | (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 67.8% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
| ✓ | 49.9% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 52.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ✓ | 45.4% | #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
Compiled 376 to 161 computations (57.2% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (*.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 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 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 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
3 calls:
| 23.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 x (neg.f64 x)) y x) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
3 calls:
| 32.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 3 | x |
| 76.9% | 3 | y |
| 84.7% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) |
| Outputs |
|---|
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
1 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 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 | y |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | x |
| 52.6% | 1 | y |
| 52.6% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.575336727756495e+176 | 2.6502803692012514e+181 |
| 0.0ms | -1.97970181611556e+172 | -1.0866166378494042e+172 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.575336727756495e+176 | 2.6502803692012514e+181 |
| 0.0ms | -1.97970181611556e+172 | -1.0866166378494042e+172 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 1 | 48 | 133 |
| 2 | 62 | 133 |
| 3 | 75 | 133 |
| 4 | 80 | 133 |
| 5 | 81 | 133 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2408 | 332 |
| 5 | 5858 | 332 |
| 0 | 8081 | 332 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 129 to 56 computations (56.6% saved)
Compiled 202 to 62 computations (69.3% saved)
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