
Time bar (total: 8.7s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 315.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sub: 89.0ms (56.7% of total)ival-div: 54.0ms (34.4% of total)ival-true: 6.0ms (3.8% of total)exact: 4.0ms (2.5% of total)ival-assert: 3.0ms (1.9% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-sub: 5.0ms (53.9% of total)ival-div: 3.0ms (32.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 234× | div-sub |
| 230× | unsub-neg |
| 200× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 51 | 38 |
| 2 | 125 | 36 |
| 3 | 356 | 35 |
| 4 | 800 | 35 |
| 5 | 1265 | 35 |
| 6 | 1477 | 35 |
| 7 | 1555 | 35 |
| 8 | 1613 | 35 |
| 9 | 1626 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 24 | 7 |
| 3 | 39 | 7 |
| 4 | 72 | 7 |
| 5 | 139 | 7 |
| 6 | 318 | 7 |
| 7 | 544 | 7 |
| 8 | 697 | 7 |
| 9 | 713 | 7 |
| 10 | 714 | 7 |
| 0 | 714 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 288× | lower-fma.f64 |
| 288× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 142× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 24 | 16 |
| 3 | 39 | 16 |
| 4 | 72 | 16 |
| 5 | 139 | 16 |
| 6 | 318 | 16 |
| 7 | 544 | 16 |
| 8 | 697 | 16 |
| 9 | 713 | 16 |
| 10 | 714 | 16 |
| 0 | 714 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 3.0ms (65.2% of total)ival-div: 2.0ms (43.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) 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 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 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 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 (* -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 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 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- x y) (- 1 y)) |
| 0.0ms | x | @ | inf | (/ (- x y) (- 1 y)) |
| 0.0ms | y | @ | -inf | (/ (- x y) (- 1 y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 0.0ms | y | @ | inf | (/ (- x y) (- 1 y)) |
| 1× | egg-herbie |
| 13 832× | lower-fma.f64 |
| 13 832× | lower-fma.f32 |
| 2 816× | lower-*.f64 |
| 2 816× | lower-*.f32 |
| 2 668× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 4 514× | lower-*.f64 |
| 4 514× | lower-*.f32 |
| 3 690× | lower-fma.f64 |
| 3 690× | lower-fma.f32 |
| 3 320× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 47 | 13 |
| 2 | 356 | 13 |
| 3 | 4967 | 13 |
| 0 | 9356 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 12 550 to 1 306 computations (89.6% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 8 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 541 | 9 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 49.0% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| ▶ | 73.2% | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 48.0% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
| ▶ | 52.9% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
| 51.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| ▶ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 53.0% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) | |
| ▶ | 39.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 169 to 98 computations (42% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 832 | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 10 928× | lower-fma.f32 |
| 10 922× | lower-fma.f64 |
| 2 698× | lower-*.f32 |
| 2 694× | lower-*.f64 |
| 1 898× | lower-+.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 159 |
| 0 | 42 | 159 |
| 1 | 85 | 159 |
| 2 | 192 | 159 |
| 3 | 497 | 159 |
| 4 | 1285 | 159 |
| 5 | 3255 | 159 |
| 6 | 6636 | 153 |
| 0 | 8118 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
x |
y |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0234375 | (/.f64 (+.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 0.10775375976844201 | (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| accuracy | 33.25761040992713 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0234375 | (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) | |
| accuracy | 30.113867233978617 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.35197209882312 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 38.81282154655135 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 16.707164640262818 | (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 116.0ms | 256× | 0 | valid |
Compiled 134 to 24 computations (82.1% saved)
ival-add: 59.0ms (59.2% of total)ival-mult: 29.0ms (29.1% of total)ival-div: 8.0ms (8% of total)ival-sub: 4.0ms (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 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (patch (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) x) (patch (+.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) (- 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 y)) (- 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* -1 y)) 1))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* -1 y)) 1))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) #<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 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>) () ())) ()) |
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#s(alt (/ (+ (* -1 (* y (- x 1))) (* -1 (- x 1))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) y) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (* (+ -1 x) (+ (* y y) y)) x) |
| 1.0ms | x | @ | -inf | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1.0ms | x | @ | 0 | (/ (* (- x y) (+ y 1)) (- 1 (* y y))) |
| 1.0ms | x | @ | 0 | (+ (* (/ (+ -1 x) y) (+ -1 (/ -1 y))) 1) |
| 1.0ms | x | @ | -inf | (+ (* (/ (+ -1 x) y) (+ -1 (/ -1 y))) 1) |
| 1× | egg-herbie |
| 31 814× | lower-fma.f64 |
| 31 814× | lower-fma.f32 |
| 5 352× | lower-+.f64 |
| 5 352× | lower-+.f32 |
| 4 156× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 3350 |
| 1 | 933 | 3051 |
| 2 | 2892 | 2861 |
| 0 | 8233 | 2696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) |
(* -1 (* y (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(* x (+ 1 y)) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (+ 1 (/ 1 y))) y)) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(* -1 (/ (- x 1) (pow y 2))) |
(/ (+ (* -1 (* y (- x 1))) (* -1 (- x 1))) (pow y 2)) |
(/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) |
(/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) |
(+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) |
(/.f64 (neg.f64 (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(-.f64 (fma.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(-.f64 (fma.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(+ (* -1 (/ (* y (+ 1 y)) (- 1 (pow y 2)))) (* x (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(-.f64 (fma.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (fma.f64 y y y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))) (+ (/ 1 (- 1 (pow y 2))) (/ y (- 1 (pow y 2)))))) |
(fma.f64 x (fma.f64 y (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (*.f64 y (neg.f64 y)) x)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/ (* x (+ 1 y)) (- 1 (pow y 2))) |
(/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 y) (- 1 (pow y 2)))) (/ (* y (+ 1 y)) (* x (- 1 (pow y 2))))))) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
x |
(+ x (* y (- x 1))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 (* y (+ 1 (* -1 x))))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (+ x (* y (- (* y (- x 1)) (+ 1 (* -1 x))))) 1))) |
(fma.f64 y (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (/ x (pow y 3))) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (* -1 x)) y))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ 1 (+ (* -1 x) (+ (* -1 (/ x y)) (/ 1 y)))) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal -1 binary64) x) x)) y)) |
(* -1 (* y (+ 1 y))) |
(neg.f64 (fma.f64 y y y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ (* -1 (* y (+ 1 y))) (* x (+ 1 y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x))))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (* x (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)))) |
(fma.f64 x (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(+ x (* y (- (+ x (* -1 y)) 1))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (/ x y) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (/.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 x (/.f64 x y)) y) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 x (/.f64 x y)) y) (-.f64 #s(literal -1 binary64) y))) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)) |
(*.f64 y (fma.f64 y (/.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 x (/.f64 x y)) y) (-.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ x y)))) y)) 1)) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 x (/.f64 x y)) y) (-.f64 #s(literal -1 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 y x) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 y x (-.f64 x y)) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
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(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal -1 binary64) x) x)) y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(* -1 (/ (* x (+ 1 (/ 1 y))) y)) |
(neg.f64 (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x y)) y))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x y)) y))) |
(* x (+ (* -1 (/ (+ 1 (/ 1 y)) y)) (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x y)) y))) |
(* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) |
(neg.f64 (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) x) (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) x) (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(-.f64 (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) x) (/.f64 (+.f64 x (/.f64 x y)) y)) |
(* -1 (/ (- x 1) (pow y 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(/ (+ (* -1 (* y (- x 1))) (* -1 (- x 1))) (pow y 2)) |
(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) |
(/.f64 (fma.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (+ (* -1 (- x 1)) (* y (+ y (* -1 (- x 1))))) (pow y 2)) |
(/.f64 (fma.f64 y (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
| 5 636× | lower-/.f32 |
| 5 628× | lower-/.f64 |
| 3 788× | lower-*.f32 |
| 3 784× | lower-*.f64 |
| 3 078× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 129 |
| 0 | 42 | 129 |
| 1 | 204 | 123 |
| 2 | 1860 | 123 |
| 0 | 8350 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+.f64 #s(literal -1 binary64) x) |
(fma.f64 y y y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(*.f64 y y) |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) y) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) y)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
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(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
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(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) y)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
Compiled 23 508 to 2 165 computations (90.8% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 975 | 9 | 984 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 979 | 14 | 993 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 49.0% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| 29.9% | (/.f64 #s(approx (* (- x y) (+ y 1)) (neg.f64 (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
| 52.7% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) | |
| ▶ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
| 51.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| ✓ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 12.5% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| 40.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| ▶ | 39.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
| ▶ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 14.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| ✓ | 39.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 231 to 120 computations (48.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 y x x) x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fma.f64 y x (-.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
| 1 696× | lower-fma.f32 |
| 1 690× | lower-fma.f64 |
| 728× | lower-*.f64 |
| 728× | lower-*.f32 |
| 438× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 165 |
| 0 | 34 | 165 |
| 1 | 61 | 165 |
| 2 | 104 | 163 |
| 3 | 212 | 163 |
| 4 | 453 | 163 |
| 5 | 770 | 163 |
| 6 | 1348 | 163 |
| 7 | 2240 | 163 |
| 8 | 2603 | 163 |
| 9 | 2738 | 163 |
| 10 | 2807 | 163 |
| 11 | 2811 | 163 |
| 12 | 2817 | 163 |
| 13 | 2820 | 163 |
| 0 | 2820 | 163 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
(-.f64 x y) |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
(fma.f64 y x (-.f64 x y)) |
y |
x |
(-.f64 x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) |
(fma.f64 y (fma.f64 y x x) x) |
y |
(fma.f64 y x x) |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
x |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
(-.f64 x y) |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
(fma.f64 y x (-.f64 x y)) |
(-.f64 (fma.f64 y x x) y) |
y |
x |
(-.f64 x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) |
(fma.f64 y (fma.f64 y x x) x) |
y |
(fma.f64 y x x) |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
x |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 32.35197209882312 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| accuracy | 32.547265192758886 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.0625 | (fma.f64 y (fma.f64 y x x) x) | |
| accuracy | 29.691528540697146 | #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) | |
| accuracy | 32.35197209882312 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) | |
| accuracy | 0 | (fma.f64 y x (-.f64 x y)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 30.049998739355573 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 29.990647756344664 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| accuracy | 32.35197209882312 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
| 48.0ms | 256× | 0 | valid |
Compiled 112 to 17 computations (84.8% saved)
ival-div: 6.0ms (36% of total)ival-sub: 3.0ms (18% of total)ival-add: 3.0ms (18% of total)ival-mult: 3.0ms (18% of total)ival-neg: 1.0ms (6% 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 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (-.f64 x y)) (patch (fma.f64 y x (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (fma.f64 y x x) x) (patch (fma.f64 y (fma.f64 y x x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
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87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (- 1 y) (- x y)) |
| 0.0ms | x | @ | inf | (/ (- 1 y) (- x y)) |
| 0.0ms | y | @ | 0 | (/ (- 1 y) (- x y)) |
| 0.0ms | x | @ | inf | (+ (* y x) x) |
| 0.0ms | x | @ | -inf | (/ (- 1 y) (- x y)) |
| 1× | egg-herbie |
| 20 242× | lower-fma.f64 |
| 20 242× | lower-fma.f32 |
| 4 936× | lower-*.f64 |
| 4 936× | lower-*.f32 |
| 4 206× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 3314 |
| 1 | 903 | 3072 |
| 2 | 2562 | 2898 |
| 0 | 8435 | 2759 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ 1 x) |
(+ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (+ (/ 1 (pow x 2)) (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (+ (* y (- (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (pow x 2)) (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(- (+ 1 (* -1 (/ (* x (+ 1 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (/ 1 y))) |
(- (+ 1 (* -1 (/ (* (pow x 2) (+ 1 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 (* -1 x))) (pow y 2))))) |
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(/ (- 1 y) x) |
(/ (- (+ 1 (/ (* y (- 1 y)) x)) y) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 1 y)) x)))) x) |
(/ (- (+ 1 (/ (* (pow y 3) (- 1 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 1 y)) x)) (* -1 (/ (* (pow y 2) (- 1 y)) (pow x 2)))))) x) |
(/ (- 1 y) x) |
(* -1 (/ (+ (* -1 (- 1 y)) (* -1 (/ (* y (- 1 y)) x))) x)) |
(* -1 (/ (+ (* -1 (- 1 y)) (* -1 (/ (+ (* y (- 1 y)) (/ (* (pow y 2) (- 1 y)) x)) x))) x)) |
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1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -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))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
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(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* x y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 x y x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 x y) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 x y) y) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (+ (/ 1 (pow x 2)) (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (+ (* y (- (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (pow x 2)) (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)))) (/ 1 (pow x 2))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (* -1 (/ (* x (+ 1 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(- (+ 1 (* -1 (/ (* (pow x 2) (+ 1 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (/ 1 y) (/ (* x (+ 1 (* -1 x))) (pow y 2))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ 1 (/ (* x (- 1 x)) y)) x) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 1 x)) y)) (* x (- 1 x))) y))) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (*.f64 x x) y) x)) y)) y)) |
(* -1 (/ (- 1 y) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ (- 1 y) y)) (* x (- (/ 1 y) (/ 1 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (neg.f64 (/.f64 x (*.f64 y y)))) |
(+ (* -1 (/ (- 1 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (/ 1 (pow y 2)))) y)) (/ 1 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (fma.f64 x (/.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) y) (neg.f64 (/.f64 x (*.f64 y y))))) |
(+ (* -1 (/ (- 1 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (/ 1 (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) y)))) (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (neg.f64 (/.f64 x (*.f64 y y))))) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- (+ 1 (/ (* y (- 1 y)) x)) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) y) x) y)) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 1 y)) x)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (+.f64 y (/.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) y)) x) |
(/ (- (+ 1 (/ (* (pow y 3) (- 1 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 1 y)) x)) (* -1 (/ (* (pow y 2) (- 1 y)) (pow x 2)))))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (+.f64 y (/.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) y))) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (+ (* -1 (- 1 y)) (* -1 (/ (* y (- 1 y)) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) y) x) y)) x) |
(* -1 (/ (+ (* -1 (- 1 y)) (* -1 (/ (+ (* y (- 1 y)) (/ (* (pow y 2) (- 1 y)) x)) x))) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y (/.f64 (*.f64 y y) x))) x)) x) |
(* -1 (/ (+ (* -1 (- 1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 1 y))) (* -1 (/ (* (pow y 3) (- 1 y)) x))) x)) (* y (- 1 y))) x))) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y (/.f64 (*.f64 y y) x)))) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 (/.f64 (*.f64 x y) y) y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
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(* (pow y 2) (+ x (/ x y))) |
(*.f64 y (*.f64 y (+.f64 x (/.f64 x y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(*.f64 (*.f64 y y) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(*.f64 (*.f64 y y) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (* y (+ 1 y)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(fma.f64 x (/.f64 y (fma.f64 x y (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 x y x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 x y) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 x y) y) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) (-.f64 #s(literal 1 binary64) x)) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 x (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 y (fma.f64 x (fma.f64 y y y) x) x) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) x) y) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (neg.f64 y)) x) y) x) y) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 6 650× | lower-fma.f32 |
| 6 644× | lower-fma.f64 |
| 3 988× | lower-/.f32 |
| 3 982× | lower-/.f64 |
| 3 952× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 147 |
| 0 | 34 | 145 |
| 1 | 139 | 145 |
| 2 | 1054 | 145 |
| 0 | 8430 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 x y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
(fma.f64 y x (-.f64 x y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x)) |
(fma.f64 y (fma.f64 y x x) x) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 x #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y)))) |
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y x)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (-.f64 x (*.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (neg.f64 (-.f64 x (*.f64 y x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) |
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#s(approx (- 1 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (*.f64 y (neg.f64 y)) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 24 774 to 2 284 computations (90.8% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 242 | 3 | 1 245 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 242 | 17 | 1 259 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 49.0% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| 29.9% | (/.f64 #s(approx (* (- x y) (+ y 1)) (neg.f64 (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ✓ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
| ▶ | 52.7% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| ✓ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
| 51.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| ✓ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 12.5% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ▶ | 40.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 39.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
| ✓ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 3.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) | |
| 3.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) | |
| ▶ | 14.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
| ▶ | 15.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
| ✓ | 39.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 232 to 118 computations (49.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (neg.f64 (fma.f64 y y y)) | |
| cost-diff | 0 | #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (+ (* y x) (- x y)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| 8 176× | lower-fma.f32 |
| 8 172× | lower-fma.f64 |
| 1 592× | lower-*.f64 |
| 1 592× | lower-*.f32 |
| 1 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 175 |
| 0 | 38 | 175 |
| 1 | 78 | 175 |
| 2 | 171 | 175 |
| 3 | 443 | 175 |
| 4 | 1054 | 175 |
| 5 | 2465 | 175 |
| 6 | 4385 | 175 |
| 7 | 5697 | 175 |
| 8 | 6353 | 175 |
| 9 | 6653 | 175 |
| 10 | 6810 | 175 |
| 11 | 6847 | 175 |
| 12 | 6850 | 175 |
| 13 | 6850 | 175 |
| 14 | 6874 | 175 |
| 15 | 6884 | 175 |
| 16 | 6884 | 175 |
| 17 | 6963 | 175 |
| 18 | 7057 | 175 |
| 19 | 7097 | 175 |
| 20 | 7097 | 175 |
| 0 | 7097 | 171 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (+ (* y x) (- x y)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) |
x |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (+ (* y x) (- x y)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) |
x |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 32.547265192758886 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) | |
| accuracy | 29.87657784656565 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 32.35197209882312 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (neg.f64 (fma.f64 y y y)) | |
| accuracy | 30.113867233978617 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| accuracy | 33.5664243702609 | #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 30.049998739355573 | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) | |
| accuracy | 37.748178937807815 | #s(approx (+ (* y x) (- x y)) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| accuracy | 28.801458426753072 | #s(approx (+ -1 x) #s(literal -1 binary64)) | |
| accuracy | 30.113867233978617 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| 48.0ms | 256× | 0 | valid |
Compiled 112 to 19 computations (83% saved)
ival-mult: 5.0ms (28.6% of total)ival-add: 4.0ms (22.9% of total)ival-sub: 3.0ms (17.1% of total)ival-div: 3.0ms (17.1% of total)ival-neg: 2.0ms (11.4% 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 #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ -1 x) #s(literal -1 binary64)) (patch #s(approx (+ -1 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) (- x y)) (neg.f64 y)) (patch #s(approx (+ (* y x) (- x y)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) (patch #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 y y y)) (patch (neg.f64 (fma.f64 y y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) (patch (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (neg (+ (* y y) y)) |
| 0.0ms | y | @ | -inf | (neg (+ (* y y) y)) |
| 0.0ms | x | @ | -inf | (/ (- x y) (- 1 y)) |
| 0.0ms | y | @ | 0 | (neg (+ (* y y) y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- 1 y)) |
| 1× | egg-herbie |
| 24 696× | lower-fma.f64 |
| 24 696× | lower-fma.f32 |
| 3 304× | lower-*.f64 |
| 3 304× | lower-*.f32 |
| 3 218× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2773 |
| 1 | 598 | 2545 |
| 2 | 1733 | 2396 |
| 3 | 6558 | 2349 |
| 0 | 8217 | 2218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* -1 (* y (+ 1 (* -1 x)))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(* -1 y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(- (* x (+ 1 y)) y) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) x)) y)) |
(* -1 (+ y (pow y 2))) |
(neg.f64 (fma.f64 y y y)) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 x (fma.f64 y y y) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 x (fma.f64 y y y) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 x (-.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y y) x)) x) |
x |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y)) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 y (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) #s(literal -1 binary64))) |
(* (pow y 2) (- x 1)) |
(*.f64 y (-.f64 (*.f64 y x) y)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(*.f64 y (fma.f64 y (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(* y (+ 1 y)) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) x)) y)) |
x |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(+ x (* y (- x 1))) |
(-.f64 (fma.f64 y x x) y) |
(* y (- x 1)) |
(-.f64 (*.f64 y x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* y (- (+ x (/ x y)) 1)) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (* -1 x)))) |
(-.f64 (*.f64 y x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* y (+ 1 (+ (* -1 x) (* -1 (/ x y)))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 y) |
(neg.f64 y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(- (* x (+ 1 y)) y) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(-.f64 (fma.f64 y x x) y) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(-.f64 (fma.f64 y x x) y) |
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(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
| 5 020× | lower-fma.f32 |
| 5 016× | lower-fma.f64 |
| 4 882× | lower-/.f32 |
| 4 878× | lower-/.f64 |
| 3 304× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 160 |
| 0 | 38 | 160 |
| 1 | 174 | 160 |
| 2 | 1448 | 160 |
| 0 | 8399 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (+ -1 x) #s(literal -1 binary64)) |
(fma.f64 y y y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (+ (* y x) (- x y)) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y y y)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(+.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) |
(+.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) x) |
(+.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) |
(+.f64 (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))))) |
(+.f64 (+.f64 x (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) |
(fma.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) |
(fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 y y) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 y y y) #s(approx (+ -1 x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y y) #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) y (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))))) x) |
(fma.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) x) |
(fma.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) y x) |
(fma.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y y))))) x) |
(fma.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (-.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) x) |
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(approx (+ -1 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y y))))) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 (*.f64 y y) y)) #s(approx (+ -1 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) x)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) (-.f64 (*.f64 x x) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))) (fma.f64 x x (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) x))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)))) (neg.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))) (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (*.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))))) (neg.f64 (-.f64 x (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) #s(approx (+ -1 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x)) (*.f64 (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (fma.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 x (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (+.f64 x (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64)))) (*.f64 (+.f64 x (*.f64 y (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))) (*.f64 y #s(approx (+ -1 x) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (*.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y)))) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) (neg.f64 x))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (+.f64 x y)) |
(/.f64 (-.f64 (*.f64 x (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (neg.f64 #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) y)) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (neg.f64 #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (neg.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))))) (neg.f64 (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) (neg.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (+.f64 x y))) |
(/.f64 (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (-.f64 (*.f64 (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) (-.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (neg.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) |
(pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 x) y) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y))))) |
(*.f64 (+.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(approx (- 1 y) (neg.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (-.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 x y)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(*.f64 (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (- 1 y) (neg.f64 y))))) |
(*.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))))) |
(*.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (+.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (-.f64 x y) (+.f64 x y))) |
(+.f64 x (neg.f64 y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(-.f64 x y) |
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) |
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) x) |
(neg.f64 (+.f64 (neg.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(neg.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y)))) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal -1 binary64)) |
#s(approx (- 1 y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) |
Compiled 12 920 to 1 021 computations (92.1% saved)
18 alts after pruning (5 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 747 | 1 | 748 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 8 | 8 |
| Total | 747 | 18 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 49.0% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| 29.9% | (/.f64 #s(approx (* (- x y) (+ y 1)) (neg.f64 (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ✓ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
| ✓ | 52.7% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| ✓ | 53.0% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
| 51.7% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) | |
| ✓ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 12.5% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 40.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
| ✓ | 39.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
| ✓ | 39.8% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 3.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) | |
| 3.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) | |
| ✓ | 14.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
| 2.5% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) | |
| ✓ | 15.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
| ✓ | 39.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 327 to 119 computations (63.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(approx (* (- x y) (+ y 1)) (neg.f64 (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 351.0ms | y |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
3 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | x |
| 99.2% | 3 | y |
| 99.6% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
2 calls:
| 9.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 89.9% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
2 calls:
| 29.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | y |
| 89.5% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 y x (-.f64 x y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y (+ (* y x) x)) x) (*.f64 x (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y (fma.f64 y x x) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | y |
| 89.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | x |
| 78.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 75.9% | 3 | y |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 #s(approx (+ (* y y) y) (*.f64 y y))))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
1 calls:
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 1 | x |
| 51.2% | 3 | y |
| 51.6% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 1 | x |
| 39.4% | 1 | y |
| 39.4% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0010429111493070395 | 12084649.181480464 |
| 14.0ms | -64076768365898.34 | -0.01973802891939647 |
| 12.0ms | 320× | 0 | valid |
Compiled 472 to 271 computations (42.6% saved)
ival-sub: 3.0ms (51% of total)ival-div: 2.0ms (34% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1659003248109947 | 8607830976.233585 |
| 0.0ms | 0.6017939532673957 | 0.9999997822248926 |
| 0.0ms | -1.368057676049678e+46 | -4.4656363208591344e+45 |
Compiled 12 to 11 computations (8.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1659003248109947 | 8607830976.233585 |
| 0.0ms | 0.6017939532673957 | 0.9999997822248926 |
| 0.0ms | -1.368057676049678e+46 | -4.4656363208591344e+45 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1659003248109947 | 8607830976.233585 |
| 0.0ms | 0.6017939532673957 | 0.9999997822248926 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0010429111493070395 | 12084649.181480464 |
| 5.0ms | -64076768365898.34 | -0.01973802891939647 |
| 2.0ms | 64× | 0 | valid |
Compiled 312 to 191 computations (38.8% saved)
ival-sub: 1.0ms (85.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1659003248109947 | 8607830976.233585 |
| 0.0ms | 1.8743771200474134e-5 | 0.6017939532673957 |
| 0.0ms | -3.9086610838061186e-80 | -1.2585517374574053e-97 |
Compiled 12 to 11 computations (8.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1659003248109947 | 8607830976.233585 |
| 0.0ms | 1.8743771200474134e-5 | 0.6017939532673957 |
| 0.0ms | -3.9086610838061186e-80 | -1.2585517374574053e-97 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8743771200474134e-5 | 0.6017939532673957 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 566 |
| 1 | 91 | 566 |
| 2 | 98 | 566 |
| 3 | 100 | 566 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -9999999999999999931398190359470212947659194368 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -9999999999999999931398190359470212947659194368 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x)) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -9999999999999999931398190359470212947659194368 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -9999999999999999931398190359470212947659194368 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 y #s(literal -1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -9999999999999999931398190359470212947659194368 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (+ -1 x) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (fma.f64 y x x) y)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (+ -1 x) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* y x) (- x y)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 31 814× | lower-fma.f64 |
| 31 814× | lower-fma.f32 |
| 20 242× | lower-fma.f64 |
| 20 242× | lower-fma.f32 |
| 13 832× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 3314 |
| 1 | 903 | 3072 |
| 2 | 2562 | 2898 |
| 0 | 8435 | 2759 |
| 0 | 301 | 3350 |
| 1 | 933 | 3051 |
| 2 | 2892 | 2861 |
| 0 | 8233 | 2696 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 788 | 338 |
| 3 | 2735 | 311 |
| 4 | 7419 | 311 |
| 0 | 8107 | 302 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 525 to 185 computations (64.8% saved)
Compiled 664 to 116 computations (82.5% saved)
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