
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 443.0ms (87.4% of total)ival-sub: 48.0ms (9.5% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 28.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 7.0ms (66.7% of total)ival-sub: 3.0ms (28.6% 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 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| accuracy | 0.08203125 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 4.0ms (73.9% of total)ival-sub: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | y | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1.0ms | x | @ | inf | ((* x (- 1 (* x y))) (- 1 (* x y)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 368 |
| 1 | 108 | 332 |
| 2 | 189 | 332 |
| 3 | 514 | 332 |
| 4 | 2408 | 332 |
| 5 | 5858 | 332 |
| 0 | 8081 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* y (- (/ 1 y) x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x (- (/ 1 x) y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* x (+ 1 (* -1 (* x y)))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (- (/ 1 x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 31 | 15 |
| 2 | 190 | 15 |
| 3 | 1497 | 15 |
| 0 | 9602 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
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Compiled 20 840 to 1 642 computations (92.1% saved)
10 alts after pruning (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) |
| ▶ | 66.8% | (/.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))) |
| 66.5% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) | |
| ▶ | 82.8% | (*.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)))) |
| 66.8% | (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) | |
| 99.9% | (*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) | |
| 79.9% | (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) | |
| ▶ | 52.3% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 49.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 45.9% | #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 256 to 174 computations (32% saved)
| 1× | egg-herbie |
Found 17 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 y x) | |
| cost-diff | 0 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| cost-diff | 7552 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | #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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 166 |
| 0 | 43 | 159 |
| 1 | 86 | 159 |
| 2 | 178 | 159 |
| 3 | 528 | 159 |
| 4 | 1514 | 159 |
| 5 | 2831 | 159 |
| 6 | 5241 | 159 |
| 7 | 6953 | 159 |
| 0 | 8145 | 159 |
| 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 (*.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 |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(fma.f64 (*.f64 x (neg.f64 y)) x 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)))) |
(fma.f64 (*.f64 x (neg.f64 y)) x x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(/.f64 x (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 x (fma.f64 x y #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
(/.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 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.135097509768442 | (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.1973038086106521 | (pow.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 0.27729666095420713 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) | |
| accuracy | 19.50026702355041 | (/.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 | 0.00390625 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) | |
| accuracy | 0.23894501953688402 | (pow.f64 (*.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 5.215277490538922 | (*.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 | 5.530088999086809 | (/.f64 x (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.08203125 | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 31.04421730120831 | #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0.08203125 | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) | |
| accuracy | 32.37555302156448 | #s(approx (- 1 (* x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 93.0ms | 256× | 0 | valid |
Compiled 163 to 26 computations (84% saved)
ival-div: 29.0ms (47.4% of total)ival-mult: 12.0ms (19.6% of total)ival-neg: 6.0ms (9.8% of total)ival-pow: 4.0ms (6.5% of total)ival-add: 3.0ms (4.9% of total)ival-sub: 3.0ms (4.9% of total)ival-pow2: 3.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (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 (/.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 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<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 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>) () ())) ()) |
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#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 (* -1 (* (pow x 4) (pow y 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#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 (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) (+ (/ y 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>) () ())) ()) |
#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 | |
|---|---|---|---|---|
| 7.0ms | 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) (/ (* (- 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) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 6.0ms | 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) (/ (* (- 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) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 5.0ms | 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) (/ (* (- 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) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | 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) (/ (* (- 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) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 4.0ms | 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) (/ (* (- 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) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 2839 |
| 1 | 685 | 2647 |
| 2 | 1770 | 2634 |
| 3 | 5498 | 2632 |
| 0 | 8219 | 2595 |
| 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) |
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)) |
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 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* 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 (* (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 4) (pow y 3))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3)))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (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 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 y 2) (+ (/ x y) (pow x 2))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))) |
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -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 (* (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 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 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))) |
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) |
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)) |
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 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(+ 1 (* x (+ y (* x (pow y 2))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -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 (* (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 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) (+ (/ 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 (* (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 (* (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 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) (+ (/ 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 |
|---|
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)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(+ 1 (* -1 (* (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(-.f64 x (*.f64 y (*.f64 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 x (*.f64 y (*.f64 x x))) |
x |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) x) |
(+ x (* -1 (* (pow x 4) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(+ x (* y (- (* (pow x 3) y) (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) y 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* (pow x 2) y)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) 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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (- (/ 1 y) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
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(*.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 4) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y 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 (pow x 2)) (+ (/ y x) (pow y 2)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) 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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(-.f64 x (*.f64 y (*.f64 x x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* (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 4) (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x (pow y 2)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) |
(-.f64 (/.f64 #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)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(* (pow x 2) (+ (/ y x) (pow y 2))) |
(*.f64 (*.f64 (fma.f64 y 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 | 25 | 135 |
| 0 | 43 | 116 |
| 1 | 179 | 116 |
| 2 | 1215 | 116 |
| 0 | 8787 | 116 |
| 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) |
(/.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 x (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
| Outputs |
|---|
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 46 534 to 2 419 computations (94.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 941 | 5 | 1 946 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 947 | 9 | 1 956 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
| ▶ | 99.9% | (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
| 48.9% | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| ▶ | 66.8% | (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
| ▶ | 79.9% | (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
| ✓ | 52.3% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 45.9% | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 198 to 128 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 128 | (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 6784 | (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 248 |
| 0 | 64 | 245 |
| 1 | 145 | 245 |
| 2 | 314 | 239 |
| 3 | 1064 | 235 |
| 4 | 2525 | 234 |
| 5 | 4537 | 234 |
| 6 | 5395 | 231 |
| 7 | 6018 | 229 |
| 8 | 6213 | 229 |
| 9 | 6233 | 229 |
| 10 | 6244 | 229 |
| 11 | 6743 | 229 |
| 12 | 6893 | 229 |
| 13 | 6899 | 229 |
| 14 | 6905 | 229 |
| 15 | 6905 | 229 |
| 0 | 8308 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
x |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
x |
(neg.f64 y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(neg.f64 y) |
y |
(*.f64 x x) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) x #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x) (fma.f64 y x #s(literal 1 binary64))) |
x |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) x (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 y x) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x y #s(literal 1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1973038086106521 | (pow.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 0.27729666095420713 | (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) | |
| accuracy | 0.29097622276899743 | (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 19.21968807712957 | (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 0.12109375 | (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 5.508079157965451 | (/.f64 y (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 7.4754294348183485 | (*.f64 (*.f64 x (neg.f64 x)) y) | |
| accuracy | 8.806838838396983 | (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.11328125 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 0.12890625 | (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 7.4754294348183485 | (*.f64 (neg.f64 y) (*.f64 x x)) | |
| accuracy | 30.45942873166232 | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) | |
| accuracy | 0 | (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.08203125 | (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
| 183.0ms | 256× | 0 | valid |
Compiled 264 to 40 computations (84.8% saved)
ival-mult: 82.0ms (50.9% of total)ival-pow: 49.0ms (30.4% of total)ival-div: 17.0ms (10.6% of total)ival-add: 7.0ms (4.3% of total)ival-sub: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 (* x y)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg y) (* x x)) (* x x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (* (* (neg x) (- 1 (pow (* x y) 3))) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1))) (* (neg x) (- 1 (pow (* x y) 3))) (neg x) (- 1 (pow (* x y) 3)) (* (* x (neg x)) y) (/ y (+ (* y x) 1)) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1)) (pow (* x y) 3)) |
| 11.0ms | y | @ | 0 | ((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg y) (* x x)) (* x x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (* (* (neg x) (- 1 (pow (* x y) 3))) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1))) (* (neg x) (- 1 (pow (* x y) 3))) (neg x) (- 1 (pow (* x y) 3)) (* (* x (neg x)) y) (/ y (+ (* y x) 1)) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1)) (pow (* x y) 3)) |
| 5.0ms | y | @ | inf | ((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg y) (* x x)) (* x x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (* (* (neg x) (- 1 (pow (* x y) 3))) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1))) (* (neg x) (- 1 (pow (* x y) 3))) (neg x) (- 1 (pow (* x y) 3)) (* (* x (neg x)) y) (/ y (+ (* y x) 1)) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1)) (pow (* x y) 3)) |
| 5.0ms | x | @ | -inf | ((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg y) (* x x)) (* x x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (* (* (neg x) (- 1 (pow (* x y) 3))) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1))) (* (neg x) (- 1 (pow (* x y) 3))) (neg x) (- 1 (pow (* x y) 3)) (* (* x (neg x)) y) (/ y (+ (* y x) 1)) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1)) (pow (* x y) 3)) |
| 4.0ms | y | @ | -inf | ((* (+ (* x (neg y)) 1) x) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg y) (* x x)) (* x x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (* (* (neg x) (- 1 (pow (* x y) 3))) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1))) (* (neg x) (- 1 (pow (* x y) 3))) (neg x) (- 1 (pow (* x y) 3)) (* (* x (neg x)) y) (/ y (+ (* y x) 1)) (/ -1 (+ (* (+ (* x y) 1) (* x y)) 1)) (pow (* x y) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 3962 |
| 1 | 1466 | 3689 |
| 2 | 4016 | 3657 |
| 0 | 8307 | 3600 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(* -1 (* (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 (* x y)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(* -1 x) |
(+ (* -1 x) (* (pow x 4) (pow y 3))) |
(+ (* -1 x) (* (pow x 4) (pow y 3))) |
(+ (* -1 x) (* (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)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
y |
(* y (+ 1 (* -1 (* x y)))) |
(* y (+ 1 (* y (- (* (pow x 2) y) x)))) |
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))) |
-1 |
(- (* x y) 1) |
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(/ 1 (* x y)) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* (pow x 4) (pow y 3)) |
(* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))) |
(* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))) |
(* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))) |
(* -1 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2)) |
(/ (- (+ (/ 1 (* (pow x 3) y)) (/ 1 (* (pow x 6) (pow y 4)))) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (- x (/ 1 y)))) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* (pow x 4) (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))) |
(* -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)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (+ (/ 1 (* (pow x 6) (pow y 3))) (/ 1 (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -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)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* -1 x) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
(* x (- (* (pow x 3) (pow y 3)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
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)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
y |
(+ y (* -1 (* x (pow y 2)))) |
(+ y (* x (- (* x (pow y 3)) (pow y 2)))) |
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2)))) |
-1 |
(- (* x y) 1) |
(- (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (pow y 3)))) (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (+ (* -1 y) (/ 1 x))) |
(/ 1 (* x y)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 4) (pow y 3)) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(/ (- 1 (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(/ (- (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6)))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 4) (pow y 3)) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -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)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (pow y 3)) |
| Outputs |
|---|
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 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 (* 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) |
(* -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) |
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 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 y x) x x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 y x) x x)) y x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) y x)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) x) x) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) y (*.f64 (neg.f64 x) x)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) y (neg.f64 (pow.f64 x #s(literal 4 binary64)))) y (pow.f64 x #s(literal 3 binary64))) y (*.f64 (neg.f64 x) x)) (*.f64 y 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) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* (pow x 4) (pow y 3))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
(+ (* -1 x) (* (pow x 4) (pow y 3))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
(+ (* -1 x) (* (pow x 4) (pow y 3))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* (pow x 3) (pow y 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #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) |
y |
(* y (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(* y (+ 1 (* y (- (* (pow x 2) y) x)))) |
(fma.f64 (*.f64 y (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) x y) |
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) y x)) y #s(literal 1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1) |
(fma.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) y) x #s(literal -1 binary64)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
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(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* (pow x 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) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(-.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 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- y (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x) y) x) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(*.f64 (fma.f64 y #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y) x)) x)) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 4) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #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) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x)) x) #s(literal 1 binary64)) x) |
(/ -1 (* (pow x 2) (pow y 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) y) x) |
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) x) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 x x)) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 178 |
| 0 | 62 | 147 |
| 1 | 281 | 133 |
| 2 | 1534 | 124 |
| 0 | 8876 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 x (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x y) #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 67 451 to 5 400 computations (92% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 515 | 4 | 2 519 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 519 | 9 | 2 528 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
| ▶ | 52.2% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
| ✓ | 99.9% | (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
| ▶ | 78.3% | (*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
| ✓ | 52.3% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| ▶ | 52.2% | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
| ✓ | 45.9% | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 75 to 61 computations (18.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) | |
| cost-diff | 960 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 6848 | (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 203 |
| 0 | 56 | 205 |
| 1 | 112 | 203 |
| 2 | 262 | 195 |
| 3 | 813 | 194 |
| 4 | 1625 | 194 |
| 5 | 2987 | 192 |
| 6 | 5828 | 192 |
| 7 | 7671 | 192 |
| 0 | 8010 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
x |
(+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
#s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
y |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
y |
| Outputs |
|---|
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) |
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x) (*.f64 (neg.f64 y) y) #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64))) x) |
x |
(+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x) (*.f64 (neg.f64 y) y) #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64))) |
#s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(*.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
y |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
(/.f64 y (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 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
x |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y x #s(literal -1 binary64)) |
(fma.f64 x y #s(literal -1 binary64)) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x #s(literal -1 binary64)) | |
| accuracy | 0.11328125 | (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) | |
| accuracy | 0.12890625 | (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.11328125 | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 31.277199001926032 | #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| accuracy | 5.508079157965451 | (/.f64 y (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 7.4754294348183485 | (*.f64 (*.f64 x (neg.f64 x)) y) | |
| accuracy | 8.806838838396983 | (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) | |
| accuracy | 32.18733204655999 | #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.250663769536884 | (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 30.45942873166232 | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
| 93.0ms | 256× | 0 | valid |
Compiled 190 to 36 computations (81.1% saved)
ival-mult: 31.0ms (40.4% of total)ival-div: 19.0ms (24.8% of total)ival-pow: 11.0ms (14.3% of total)ival-add: 10.0ms (13% of total)ival-neg: 3.0ms (3.9% of total)ival-sub: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) (patch #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (/ 1 (* x y)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((/ (* (neg x) y) (pow x -1)) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg x) y) (neg x) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (pow x -1) (* (* x (neg x)) y) (/ y (+ (* y x) 1))) |
| 3.0ms | x | @ | -inf | ((/ (* (neg x) y) (pow x -1)) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg x) y) (neg x) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (pow x -1) (* (* x (neg x)) y) (/ y (+ (* y x) 1))) |
| 3.0ms | x | @ | inf | ((/ (* (neg x) y) (pow x -1)) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg x) y) (neg x) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (pow x -1) (* (* x (neg x)) y) (/ y (+ (* y x) 1))) |
| 3.0ms | y | @ | inf | ((/ (* (neg x) y) (pow x -1)) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg x) y) (neg x) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (pow x -1) (* (* x (neg x)) y) (/ y (+ (* y x) 1))) |
| 3.0ms | y | @ | -inf | ((/ (* (neg x) y) (pow x -1)) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (neg x) y) (neg x) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (pow x -1) (* (* x (neg x)) y) (/ y (+ (* y x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 3301 |
| 1 | 1113 | 3076 |
| 2 | 2974 | 3052 |
| 0 | 8431 | 2992 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
1 |
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(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
(+ x (* -1 (* (pow x 2) y))) |
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(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
-1 |
(- (* x y) 1) |
(- (* x y) 1) |
(- (* x y) 1) |
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(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
y |
(* y (+ 1 (* -1 (* x y)))) |
(* y (+ 1 (* y (- (* (pow x 2) y) x)))) |
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (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 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (+ (* -1 x) (/ 1 y))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(/ 1 (* x y)) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ 1 y))) |
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2))))) |
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2))))) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* (pow x 2) y)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y) |
(* x y) |
(* y (- x (/ 1 y))) |
(* y (- x (/ 1 y))) |
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(* -1 (* (pow x 2) y)) |
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(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) |
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (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 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
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(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
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(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (* x y)) |
(* -1 (* y (- x (/ 1 y)))) |
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y))))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (/ 1 y)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(- (/ 1 x) (/ 1 (* (pow x 2) y))) |
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
(+ 1 (* -1 (* x y))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* -1 (* x y))) |
(+ 1 (* x (- (* x (pow y 2)) y))) |
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3))))) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
x |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
(* x (+ 1 (* -1 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) |
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) |
-1 |
(- (* x y) 1) |
(- (* x y) 1) |
(- (* x y) 1) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
y |
(+ y (* -1 (* x (pow y 2)))) |
(+ y (* x (- (* x (pow y 3)) (pow y 2)))) |
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2)))) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (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 x) |
(* -1 x) |
(* -1 x) |
(* -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)) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ 1 x))) |
(* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(* x y) |
(* x (- y (/ 1 x))) |
(* x (- y (/ 1 x))) |
(* x (- y (/ 1 x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(/ (- 1 (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x y)) |
(* -1 (* x (- y (/ 1 x)))) |
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(/ -1 (* x y)) |
(* -1 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(* -1 (* (pow x 2) y)) |
(/ 1 x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
| Outputs |
|---|
(* -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 (-.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) |
(* -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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(+ x (* -1 (* (pow x 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ 1 (* y (- (* (pow x 2) y) x))) |
(fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) y (neg.f64 x)) y #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 y x)) x) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))) |
(*.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)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3))))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) y (neg.f64 (pow.f64 x #s(literal 4 binary64)))) y (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 y 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 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
x |
(+ x (* -1 (* (pow x 2) y))) |
(*.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 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) |
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(- (* x y) 1) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* (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 |
(* y (+ 1 (* -1 (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(* y (+ 1 (* y (- (* (pow x 2) y) x)))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) y (neg.f64 x)) y #s(literal 1 binary64)) y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y 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 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* y (+ (* -1 x) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* y (+ (* -1 (pow x 2)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) y) |
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) x)) y) |
(* -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)) (/ 1 (* x (pow y 2))))) |
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(+ y (* x (- (* x (pow y 3)) (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64)) y) |
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2)))) |
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) x)) x y) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) x) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) 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)) (/ 1 (* (pow x 2) y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) x) |
(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))) |
(fma.f64 (neg.f64 y) x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) 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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* x (- y (/ 1 x))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* x (- y (/ 1 x))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* x (- y (/ 1 x))) |
(fma.f64 y x #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 (* x y))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) |
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) 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)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -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 (/ (- 1 (/ 1 (* x y))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) x) |
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) |
(*.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x)) (neg.f64 x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(* (pow x 2) (+ (* -1 y) (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) x) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(* -1 (* (pow x 2) y)) |
(*.f64 (neg.f64 y) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 (* x y)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x)) x) #s(literal 1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 181 |
| 0 | 56 | 183 |
| 1 | 252 | 153 |
| 2 | 1757 | 148 |
| 0 | 8841 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) |
(*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
#s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(fma.f64 y x #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) y) |
(/.f64 y (fma.f64 y x #s(literal 1 binary64))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 24 083 to 3 078 computations (87.2% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 3 | 1 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 5 | 5 |
| Total | 1 293 | 9 | 1 302 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 (neg.f64 y) x) x x) |
| 52.3% | (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) | |
| ✓ | 52.2% | (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
| ✓ | 99.9% | (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
| 78.3% | (*.f64 x (fma.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) y) #s(approx (/ 1 (+ (* x (neg y)) 1)) #s(literal 1 binary64)))) | |
| ✓ | 52.3% | (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 49.6% | (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| 52.2% | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 45.9% | #s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
Compiled 352 to 148 computations (58% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) |
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(*.f64 x (fma.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) y) #s(approx (/ 1 (+ (* x (neg y)) 1)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(approx (pow (+ (* y x) 1) -1) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
3 calls:
| 39.0ms | x |
| 33.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
3 calls:
| 32.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
#s(approx (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
3 calls:
| 2.0ms | x |
| 2.0ms | 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 (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) |
3 calls:
| 34.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 3 | x |
| 77.8% | 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 (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) |
1 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
Compiled 7 to 6 computations (14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | x |
| 49.6% | 1 | y |
| 49.6% | 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 | 1.0545822643526833e+100 | 2.649335748749789e+105 |
| 0.0ms | -1.9485357788263323e+186 | -2.5357732699040998e+184 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0545822643526833e+100 | 2.649335748749789e+105 |
| 0.0ms | -1.9485357788263323e+186 | -2.5357732699040998e+184 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 140 |
| 1 | 51 | 140 |
| 2 | 65 | 140 |
| 3 | 78 | 140 |
| 4 | 83 | 140 |
| 5 | 84 | 140 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) x) x x) |
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) |
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) 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 -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 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 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 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 150 to 67 computations (55.3% saved)
Compiled 216 to 66 computations (69.4% saved)
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