
Time bar (total: 5.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 79.7% | 79.6% | 20.3% | 0.1% | 0% | 0% | 0% | 7 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 8 |
| 90.2% | 90.1% | 9.8% | 0.1% | 0% | 0% | 0% | 9 |
| 92% | 91.9% | 8% | 0.1% | 0% | 0% | 0% | 10 |
| 95.2% | 95.1% | 4.8% | 0.1% | 0% | 0% | 0% | 11 |
| 96% | 96% | 4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 455.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sub: 110.0ms (42.9% of total)ival-add: 69.0ms (26.9% of total)ival-div: 62.0ms (24.2% of total)ival-true: 7.0ms (2.7% of total)exact: 5.0ms (1.9% of total)ival-assert: 4.0ms (1.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.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 |
| 60.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-sub: 37.0ms (83.3% of total)ival-div: 4.0ms (9% of total)ival-add: 3.0ms (6.8% of total)ival-true: 1.0ms (2.3% 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 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 494 | 45 |
| 4 | 1095 | 45 |
| 5 | 1632 | 45 |
| 6 | 1885 | 45 |
| 7 | 1991 | 45 |
| 8 | 2049 | 45 |
| 9 | 2062 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 346 | 9 |
| 6 | 616 | 9 |
| 7 | 904 | 9 |
| 8 | 948 | 9 |
| 9 | 964 | 9 |
| 10 | 965 | 9 |
| 0 | 965 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 21 | 23 |
| 2 | 38 | 23 |
| 3 | 79 | 23 |
| 4 | 186 | 23 |
| 5 | 346 | 23 |
| 6 | 616 | 23 |
| 7 | 904 | 23 |
| 8 | 948 | 23 |
| 9 | 964 | 23 |
| 10 | 965 | 23 |
| 0 | 965 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 16.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-sub: 4.0ms (53.4% of total)ival-div: 2.0ms (26.7% of total)ival-add: 1.0ms (13.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (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 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 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 (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 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 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7619 | 851 |
| 0 | 8589 | 806 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x #s(literal 2 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 60 | 20 |
| 2 | 525 | 20 |
| 3 | 7752 | 20 |
| 0 | 8474 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
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Compiled 16 977 to 1 879 computations (88.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 11 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 683 | 12 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 56.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| 87.0% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y))) | |
| 32.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ▶ | 44.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 45.1% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 56.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 32.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| 32.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 44.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 209 to 167 computations (20.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 130 |
| 0 | 37 | 130 |
| 1 | 70 | 130 |
| 2 | 114 | 128 |
| 3 | 212 | 128 |
| 4 | 458 | 128 |
| 5 | 846 | 128 |
| 6 | 1856 | 128 |
| 7 | 2915 | 128 |
| 8 | 3440 | 128 |
| 9 | 3543 | 128 |
| 10 | 3711 | 128 |
| 11 | 3846 | 128 |
| 12 | 4090 | 128 |
| 13 | 5062 | 128 |
| 14 | 5062 | 128 |
| 0 | 5062 | 128 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 27.709515273163756 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 35.55682547141268 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 27.81226501921092 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 35.765826517996885 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| accuracy | 0.08203125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 90.0ms | 256× | 0 | valid |
Compiled 202 to 41 computations (79.7% saved)
ival-sub: 55.0ms (71.4% of total)ival-div: 17.0ms (22.1% of total)ival-add: 3.0ms (3.9% of total)ival-neg: 1.0ms (1.3% 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 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 2 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) x) (patch (-.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ x (- x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x 2) x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- x 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- 2 x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 2 x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- y x)) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- y x)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- y x)) |
| 1.0ms | x | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- y x)) |
| 1.0ms | y | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 4509 |
| 1 | 1562 | 4177 |
| 2 | 5081 | 4102 |
| 0 | 8316 | 3873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
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(- x 2) |
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x |
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y |
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1 |
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1 |
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y |
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y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
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1 |
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y |
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(/ (- y 2) y) |
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(- y 2) |
(- (+ x y) 2) |
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y |
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(* -1 (/ y (- 2 y))) |
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(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
-1 |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
-1 |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
-1 |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
x |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
| Outputs |
|---|
(* -1 (/ x (- x 2))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1 (/ (- x 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 y x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x)) y (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(- x 2) |
(-.f64 x #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
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(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (-.f64 y #s(literal 2 binary64)) y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x)) y) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) y (-.f64 y (-.f64 #s(literal 2 binary64) y))) x)) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (*.f64 y y) (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x)) (-.f64 #s(literal 2 binary64) y)) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 115 |
| 0 | 37 | 115 |
| 1 | 184 | 113 |
| 2 | 1529 | 113 |
| 0 | 9051 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
(-.f64 y x) |
| Outputs |
|---|
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Compiled 24 325 to 3 026 computations (87.6% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 098 | 8 | 1 106 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 101 | 17 | 1 118 |
| Status | Accuracy | Program |
|---|---|---|
| 39.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 56.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| 32.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ✓ | 44.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 25.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| ▶ | 56.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
| 45.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) | |
| 45.1% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) | |
| ✓ | 56.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 32.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| ▶ | 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ▶ | 13.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 32.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 44.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 237 to 207 computations (12.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 203 |
| 0 | 49 | 203 |
| 1 | 87 | 203 |
| 2 | 143 | 203 |
| 3 | 239 | 203 |
| 4 | 411 | 203 |
| 5 | 727 | 203 |
| 6 | 1756 | 203 |
| 7 | 3735 | 203 |
| 8 | 4243 | 203 |
| 9 | 4369 | 203 |
| 10 | 4379 | 203 |
| 11 | 4392 | 203 |
| 12 | 4392 | 203 |
| 13 | 4865 | 203 |
| 14 | 5423 | 203 |
| 15 | 5423 | 203 |
| 16 | 5423 | 203 |
| 17 | 5423 | 203 |
| 0 | 5423 | 203 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| accuracy | 27.81226501921092 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 33.193256998535674 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 27.709515273163756 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 31.045666131117876 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 27.81226501921092 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 33.78400571426145 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 43.31099253999806 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 (-.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.08203125 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) | |
| accuracy | 27.98145605834781 | #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
| 144.0ms | 256× | 0 | valid |
Compiled 257 to 55 computations (78.6% saved)
ival-mult: 41.0ms (52.5% of total)ival-sub: 21.0ms (26.9% of total)ival-div: 8.0ms (10.2% of total)ival-add: 6.0ms (7.7% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (-.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) x) (patch (-.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ x (- x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x 2) x)) (taylor 0 y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- 2 x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) (taylor inf y) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* 1/4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* 1/4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/8 (* 1/4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (+ (* 1/8 x) 1/4)) |
| 1.0ms | x | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (+ (* 1/8 x) 1/4)) |
| 1.0ms | x | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (+ (* 1/8 x) 1/4)) |
| 0.0ms | y | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (+ (* 1/8 x) 1/4)) |
| 0.0ms | y | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (+ (* 1/8 x) 1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 4512 |
| 1 | 1574 | 4199 |
| 2 | 5163 | 4114 |
| 0 | 8309 | 3858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(+ 2 (* -1 y)) |
(+ 2 (* -1 y)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* y (- (* 2 (/ 1 y)) 1)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 y) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* -1 x)) x) |
(/ (+ 2 (* -1 x)) x) |
(/ (+ 2 (* -1 x)) x) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
1/4 |
(+ 1/4 (* 1/8 x)) |
(+ 1/4 (* 1/8 x)) |
(+ 1/4 (* 1/8 x)) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
-1 |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) 1) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
-1 |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
-1 |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
-1 |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) 1) |
(- (* 2 (/ 1 x)) 1) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
| Outputs |
|---|
(* -1 (/ x (- x 2))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1 (/ (- x 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 y x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x)) y (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 x #s(literal 2 binary64)) y) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+.f64 (fma.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) (/.f64 x y) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 x y) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64)) |
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(*.f64 (*.f64 #s(literal 1/8 binary64) x) x) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) x)) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (-.f64 y #s(literal 2 binary64)) y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x)) y) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) y (-.f64 y (-.f64 #s(literal 2 binary64) y))) x)) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (*.f64 y y) (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x)) (-.f64 #s(literal 2 binary64) y)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(- (* 2 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(- (* 2 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* 1/8 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) x) x) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) x)) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) x)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 189 |
| 0 | 49 | 189 |
| 1 | 235 | 189 |
| 2 | 1873 | 189 |
| 0 | 8364 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
| Outputs |
|---|
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Compiled 11 303 to 1 889 computations (83.3% saved)
19 alts after pruning (9 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 4 | 655 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 653 | 19 | 672 |
| Status | Accuracy | Program |
|---|---|---|
| 39.8% | (/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 56.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| 32.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ✓ | 44.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 25.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ▶ | 14.1% | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| ▶ | 45.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| ▶ | 45.1% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| ✓ | 56.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 32.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
| 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 13.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ▶ | 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
| 3.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| ✓ | 32.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 44.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 251 to 218 computations (13.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (-.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 227 |
| 0 | 55 | 227 |
| 1 | 92 | 227 |
| 2 | 140 | 227 |
| 3 | 239 | 227 |
| 4 | 452 | 227 |
| 5 | 688 | 227 |
| 6 | 1582 | 227 |
| 7 | 3622 | 227 |
| 8 | 4372 | 227 |
| 9 | 4828 | 227 |
| 10 | 5135 | 227 |
| 11 | 5332 | 227 |
| 12 | 5585 | 227 |
| 13 | 5619 | 227 |
| 14 | 5772 | 227 |
| 15 | 5820 | 227 |
| 16 | 5820 | 227 |
| 17 | 5820 | 227 |
| 0 | 5820 | 219 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(-.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(-.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.08203125 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 35.29179874283058 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) | |
| accuracy | 0.01171875 | (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) | |
| accuracy | 43.101635046669124 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 27.709515273163756 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 31.045666131117876 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 35.05242541141995 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.03515625 | (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 27.81226501921092 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) | |
| accuracy | 33.02784450592845 | #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 33.193256998535674 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0 | (-.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y #s(literal 2 binary64))) | |
| accuracy | 35.11272294399426 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| 87.0ms | 256× | 0 | valid |
Compiled 258 to 62 computations (76% saved)
ival-div: 29.0ms (51.4% of total)ival-sub: 11.0ms (19.5% of total)ival-add: 6.0ms (10.6% of total)ival-mult: 6.0ms (10.6% of total)ival-neg: 3.0ms (5.3% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y #s(literal 2 binary64))) (patch (/.f64 y (-.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 2 binary64)) (patch (-.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 y) #s(literal 2 binary64)) (patch #s(approx (- 2 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (patch #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- 1 (/ 2 y)) (/ 2 y) (- 2 y)) |
| 3.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- 1 (/ 2 y)) (/ 2 y) (- 2 y)) |
| 2.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- 1 (/ 2 y)) (/ 2 y) (- 2 y)) |
| 2.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- 1 (/ 2 y)) (/ 2 y) (- 2 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- 1 (/ 2 y)) (/ 2 y) (- 2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 4845 |
| 1 | 1735 | 4556 |
| 2 | 5588 | 4488 |
| 0 | 8321 | 4227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
(- y 2) |
(- y 2) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(/ -2 y) |
(/ (- y 2) y) |
(/ (- y 2) y) |
(/ (- y 2) y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
2 |
(+ 2 (* -1 y)) |
(+ 2 (* -1 y)) |
(+ 2 (* -1 y)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- 1 (* 2 (/ 1 y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
1 |
(- 1 (* 2 (/ 1 y))) |
(- 1 (* 2 (/ 1 y))) |
(- 1 (* 2 (/ 1 y))) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* y (- (* 2 (/ 1 y)) 1)) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
y |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
(/ (- (* 2 x) 2) y) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
1 |
(- 1 (* 2 (/ 1 y))) |
(- 1 (* 2 (/ 1 y))) |
(- 1 (* 2 (/ 1 y))) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* -1 y) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(/ -2 y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
-2 |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(- (* 2 x) 2) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
-1 |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* 2 (/ x y)) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* 2 x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
-1 |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
-1 |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
| Outputs |
|---|
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
-2 |
#s(literal -2 binary64) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
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(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) x (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) x (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) x (*.f64 (/.f64 x y) #s(literal -2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) x) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 2 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 2 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 2 binary64) y)) (neg.f64 x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (-.f64 y #s(literal 2 binary64)) y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x)) y) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) y (-.f64 y (-.f64 #s(literal 2 binary64) y))) x)) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (*.f64 y y) (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x)) (-.f64 #s(literal 2 binary64) y)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 213 |
| 0 | 55 | 213 |
| 1 | 285 | 213 |
| 2 | 2310 | 213 |
| 0 | 8693 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(-.f64 y #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
| Outputs |
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Compiled 9 485 to 1 572 computations (83.4% saved)
19 alts after pruning (6 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 619 | 4 | 623 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 623 | 19 | 642 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 56.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| 32.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ✓ | 44.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 25.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| ✓ | 45.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
| 28.2% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) | |
| ✓ | 45.1% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| ✓ | 56.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 32.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) | |
| 14.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| 14.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) | |
| 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 13.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 13.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
| ✓ | 32.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 44.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 417 to 257 computations (38.4% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 10.0ms | y |
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | x |
| 76.8% | 3 | y |
| 98.9% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 16.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | x |
| 91.9% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 37.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* 1/8 x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 3 | y |
| 66.6% | 3 | x |
| 74.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 3.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | y |
| 44.1% | 1 | x |
| 44.1% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.363990769173624e-32 | 1.5552954473956628e-28 |
| 0.0ms | -1.047765309404824e-201 | -2.173322405862482e-222 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -1.047765309404824e-201 | -2.173322405862482e-222 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -1.047765309404824e-201 | -2.173322405862482e-222 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -1.047765309404824e-201 | -2.173322405862482e-222 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -1.047765309404824e-201 | -2.173322405862482e-222 |
| 0.0ms | -0.9999850217672678 | -0.05791357436424447 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032199692191235257 | 0.6394796310971498 |
| 0.0ms | -1.277351255913395e-15 | -3.2366635864755403e-29 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -1.6973622921854088e-263 | 2.72997931316946e-271 |
| 7.0ms | 208× | 0 | valid |
Compiled 64 to 142 computations (-121.9% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 724 |
| 1 | 97 | 724 |
| 2 | 109 | 724 |
| 3 | 117 | 724 |
| 4 | 120 | 724 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7619 | 851 |
| 0 | 8589 | 806 |
| 0 | 557 | 4845 |
| 1 | 1735 | 4556 |
| 2 | 5588 | 4488 |
| 0 | 8321 | 4227 |
| 0 | 496 | 4509 |
| 1 | 1562 | 4177 |
| 2 | 5081 | 4102 |
| 0 | 8316 | 3873 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 516 to 231 computations (55.2% saved)
Compiled 858 to 174 computations (79.7% saved)
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