
Time bar (total: 6.4s)
| 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)
| 440.0ms | 8 256× | 0 | valid |
ival-sub: 149.0ms (63% of total)ival-div: 73.0ms (30.8% of total)ival-true: 6.0ms (2.5% of total)exact: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% 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 |
| 24.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-sub: 6.0ms (57% of total)ival-div: 3.0ms (28.5% 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)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #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 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 | 0.01953125 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 3.0ms (56% of total)ival-div: 2.0ms (37.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.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 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 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 (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 (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 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 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 (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 -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 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>) () ())) ()) |
#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 (* -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 (- 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 (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 (- 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 -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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 0.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- 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 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 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))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
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 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
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 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -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))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x 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 |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ 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 |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 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 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) 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 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* -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) |
(* 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) 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 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 (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x 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 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
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 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 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
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) |
| 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 |
|---|
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Compiled 10 822 to 1 323 computations (87.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 539 | 10 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 540 | 10 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) | |
| 51.7% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
| ▶ | 49.5% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
| 49.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) | |
| 49.8% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x)) | |
| 52.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| ▶ | 48.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 51.6% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| ▶ | 40.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 166 to 138 computations (16.9% 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 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (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 x) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
| 7 712× | lower-fma.f32 |
| 7 708× | lower-fma.f64 |
| 1 408× | lower-+.f64 |
| 1 408× | lower-+.f32 |
| 1 408× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 129 |
| 0 | 37 | 129 |
| 1 | 71 | 129 |
| 2 | 137 | 127 |
| 3 | 333 | 127 |
| 4 | 700 | 127 |
| 5 | 1768 | 127 |
| 6 | 4158 | 127 |
| 7 | 5840 | 127 |
| 8 | 6083 | 127 |
| 9 | 6169 | 127 |
| 10 | 6205 | 127 |
| 11 | 6223 | 127 |
| 12 | 6223 | 127 |
| 13 | 6247 | 127 |
| 14 | 6305 | 127 |
| 15 | 6306 | 127 |
| 16 | 6306 | 127 |
| 17 | 6428 | 127 |
| 18 | 6468 | 127 |
| 0 | 6468 | 127 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 y x) |
x |
#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 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) |
(-.f64 y #s(literal 1 binary64)) |
y |
(-.f64 y x) |
x |
#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 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 y y y) |
y |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 30.954377398331726 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) | |
| accuracy | 32.32514568233433 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.67722545165034 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 38.159601370354665 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
| 39.0ms | 256× | 0 | valid |
Compiled 108 to 22 computations (79.6% saved)
ival-div: 10.0ms (41.8% of total)ival-sub: 8.0ms (33.4% of total)ival-mult: 3.0ms (12.5% of total)ival-add: 2.0ms (8.4% 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 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<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 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 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)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) #<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 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (+ (/ 1 (pow x 2)) (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ 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)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ 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)) (/.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 x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) 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 x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<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)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<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)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) 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 (/ (- 1 x) 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 (/ (- 1 x) 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>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -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 (* -1 (* 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 (* -1 (* 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 (* -1 (* 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 (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ 1 (/ (- y 1) (- y x))) (/ (- y 1) (- y x)) (- y 1) (- y x) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ (- y 1) (- y x))) (/ (- y 1) (- y x)) (- y 1) (- y x) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (- y 1) (- y x))) (/ (- y 1) (- y x)) (- y 1) (- y x) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ (- y 1) (- y x))) (/ (- y 1) (- y x)) (- y 1) (- y x) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ (- y 1) (- y x))) (/ (- y 1) (- y x)) (- y 1) (- y x) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x)) |
| 1× | egg-herbie |
| 14 042× | lower-fma.f64 |
| 14 042× | lower-fma.f32 |
| 5 394× | lower-+.f64 |
| 5 394× | lower-+.f32 |
| 3 244× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 3161 |
| 1 | 1038 | 2935 |
| 2 | 3088 | 2715 |
| 0 | 8415 | 2618 |
| 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 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 |
(- y 1) |
(- y 1) |
(- y 1) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
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))))) |
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))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -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))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 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 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
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 (/ (+ 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))))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
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 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 (/ 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 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
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)))) |
(* (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) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
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 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
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 (* -1 (/ (- 1 x) y))) |
(+ 1 (* -1 (/ (- (+ 1 (/ (* x (- 1 x)) y)) x) y))) |
(+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 1 x)) y)) (* x (- 1 x))) y))) x) y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
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 (* -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 (/ 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 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
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))) |
(* (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)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
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 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ y (- y 1)) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(+ (* -1 (/ x (- y 1))) (/ y (- y 1))) |
(/ (- y 1) y) |
(- (+ 1 (/ (* x (- y 1)) (pow y 2))) (/ 1 y)) |
(- (+ 1 (* x (- (/ (* x (- y 1)) (pow y 3)) (* -1 (/ (- y 1) (pow y 2)))))) (/ 1 y)) |
(- (+ 1 (* x (- (* x (- (/ (* x (- y 1)) (pow y 4)) (* -1 (/ (- y 1) (pow y 3))))) (* -1 (/ (- y 1) (pow y 2)))))) (/ 1 y)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -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))) |
(* -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)) |
(/ x (- 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))) |
(* -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))))) |
-1 |
(- x 1) |
(- x 1) |
(- 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))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 (/ x (- y 1))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))) |
(* -1 (/ (- y 1) x)) |
(/ (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x))) x) |
(/ (- (+ (* -1 (- y 1)) (* -1 (/ (* (pow y 2) (- y 1)) (pow x 2)))) (/ (* y (- y 1)) x)) x) |
(/ (- (+ (* -1 (- y 1)) (* -1 (/ (* (pow y 3) (- y 1)) (pow x 3)))) (+ (/ (* y (- y 1)) x) (/ (* (pow y 2) (- y 1)) (pow x 2)))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(/ 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)) |
(* 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)) |
(/ x (- 1 y)) |
(/ x (- 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 (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))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 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)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 (/ x (- y 1))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))) |
(* -1 (/ (- y 1) x)) |
(* -1 (/ (- (+ y (/ (* y (- y 1)) x)) 1) x)) |
(* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y 1)) x)) (* y (- y 1))) x))) 1) x)) |
(* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- y 1)) x) (* -1 (* (pow y 2) (- y 1)))) x)) (* y (- y 1))) x))) 1) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(/ 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 (- 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 (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 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))))) |
(* -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 |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 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))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) y x) |
(/ 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) x) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+ (* y (- (+ (/ 1 (pow x 2)) (/ (* y (- (/ 1 (pow x 2)) (/ 1 x))) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) 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 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) x)) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y 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) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) 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) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) y x) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- (+ 1 y) x) y) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) 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))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
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 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 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 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
(* (pow y 2) (- x 1)) |
(*.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64))) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 (-.f64 (+.f64 (/.f64 x y) x) #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(*.f64 y (fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) #s(literal 1 binary64)) y #s(literal -1 binary64))) |
(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 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (* -1 (/ (- (+ 1 (/ (* x (- 1 x)) y)) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x (-.f64 #s(literal 1 binary64) x)) 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 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (*.f64 x x) y) x)) y) #s(literal 1 binary64)) x) y)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
y |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) y)) |
(* (pow y 2) (- x 1)) |
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 x)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (+.f64 (/.f64 x y) x) x) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (/.f64 (neg.f64 x) y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (/.f64 (neg.f64 x) y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (/.f64 (neg.f64 x) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 5 446× | lower-/.f32 |
| 5 438× | lower-/.f64 |
| 4 838× | lower-fma.f32 |
| 4 834× | lower-fma.f64 |
| 3 862× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 115 |
| 0 | 37 | 115 |
| 1 | 186 | 113 |
| 2 | 1624 | 113 |
| 0 | 8700 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 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))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 y y y) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 18 322 to 2 959 computations (83.9% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 022 | 8 | 1 030 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 027 | 13 | 1 040 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.6% | (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| 49.5% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) y) x)) | |
| ▶ | 49.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
| ▶ | 52.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 48.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 14.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| 38.0% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))) | |
| 51.7% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) | |
| ▶ | 37.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ▶ | 37.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| ✓ | 40.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 182 to 158 computations (13.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y x x) y x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) | |
| 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 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (-.f64 (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 1088 | (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
| 12 794× | lower-fma.f32 |
| 12 788× | lower-fma.f64 |
| 2 510× | lower-*.f32 |
| 2 508× | lower-*.f64 |
| 2 054× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 174 |
| 0 | 42 | 174 |
| 1 | 73 | 174 |
| 2 | 132 | 171 |
| 3 | 329 | 171 |
| 4 | 1152 | 159 |
| 5 | 4700 | 159 |
| 0 | 8278 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(-.f64 x y) |
x |
y |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 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) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))) |
(-.f64 x y) |
x |
y |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 y y) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) y) |
(neg.f64 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) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 30.134446313598644 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 y x x) y x) | |
| accuracy | 31.968222417809674 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) | |
| accuracy | 32.67722545165034 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) | |
| accuracy | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 32.41757236830755 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 32.2874446378722 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| accuracy | 32.67722545165034 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 15.588685109703219 | (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
| 53.0ms | 256× | 0 | valid |
Compiled 130 to 24 computations (81.5% saved)
ival-sub: 11.0ms (30.9% of total)ival-add: 9.0ms (25.3% of total)ival-div: 8.0ms (22.5% of total)ival-mult: 6.0ms (16.9% of total)ival-neg: 1.0ms (2.8% 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 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 y y) #s(literal 1 binary64)) (patch (-.f64 (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 y) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) #s(literal 1 binary64)) (patch (-.f64 (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) #s(literal 1 binary64)) (patch (-.f64 (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) #s(literal 1 binary64)) (patch (-.f64 (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) #s(literal 1 binary64)) (patch (-.f64 (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 (neg.f64 y) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 (neg.f64 y) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 (neg.f64 y) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 (neg.f64 y) #s(literal 1 binary64)) (patch (-.f64 (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* -1 (* y (- 1 x)))) 1))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (+ (* -1 (* y (- 1 x))) (* -1 (- 1 x))))) 1))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#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 (+ 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)) #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 x (taylor 0 y) (#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 (+ x (* x y)) (taylor 0 y) (#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 (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#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 (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* y (+ 1 y)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (+ 1 y)) (- (pow y 2) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) 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)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) 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)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) 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)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* y (- (* -1 y) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x x) y x) (patch (fma.f64 (fma.f64 y x x) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((/ (- (* y y) 1) (- (neg y) 1)) (- (* y y) 1) (- (neg y) 1) (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (neg y) (* y y)) |
| 2.0ms | x | @ | -inf | ((/ (- (* y y) 1) (- (neg y) 1)) (- (* y y) 1) (- (neg y) 1) (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (neg y) (* y y)) |
| 2.0ms | x | @ | inf | ((/ (- (* y y) 1) (- (neg y) 1)) (- (* y y) 1) (- (neg y) 1) (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (neg y) (* y y)) |
| 2.0ms | x | @ | 0 | ((/ (- (* y y) 1) (- (neg y) 1)) (- (* y y) 1) (- (neg y) 1) (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (neg y) (* y y)) |
| 2.0ms | y | @ | inf | ((/ (- (* y y) 1) (- (neg y) 1)) (- (* y y) 1) (- (neg y) 1) (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y x) x) y) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (neg y) (* y y)) |
| 1× | egg-herbie |
| 18 702× | lower-fma.f64 |
| 18 702× | lower-fma.f32 |
| 4 020× | lower-*.f64 |
| 4 020× | lower-*.f32 |
| 3 052× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 2739 |
| 1 | 770 | 2568 |
| 2 | 2186 | 2494 |
| 3 | 7812 | 2350 |
| 0 | 8421 | 2193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* -1 (* y (- 1 x)))) 1))) |
(+ x (* y (- (+ x (* y (+ (* -1 (* y (- 1 x))) (* -1 (- 1 x))))) 1))) |
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))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x 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))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
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))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* x 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 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
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 (/ (- x 1) (pow y 3)))))) |
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 (/ 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) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
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)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
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 (/ 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) |
(* 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))))) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) |
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 (/ 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 y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
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))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
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 (/ 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 (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)))) |
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 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* y (+ 1 y)) (- (pow y 2) 1)) |
(+ (* -1 (* x (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) (/ (* y (+ 1 y)) (- (pow y 2) 1))) |
(+ (* -1 (* x (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) (/ (* y (+ 1 y)) (- (pow y 2) 1))) |
(+ (* -1 (* x (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) (/ (* y (+ 1 y)) (- (pow y 2) 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)) |
(/ x (- 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 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))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- 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)) |
(/ x (- 1 y)) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* x (+ 1 (* y (+ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ (* x (+ 1 y)) (- (pow y 2) 1))) |
(* x (+ (* -1 (/ (+ 1 y) (- (pow y 2) 1))) (/ (* y (+ 1 y)) (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ (+ 1 y) (- (pow y 2) 1))) (/ (* y (+ 1 y)) (* x (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ (+ 1 y) (- (pow y 2) 1))) (/ (* y (+ 1 y)) (* x (- (pow y 2) 1))))) |
(/ 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)) |
(/ 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)))) (/ 1 (- 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 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 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)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 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)) |
(* 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)))) |
(* -1 (/ (* x (+ 1 y)) (- (pow y 2) 1))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(/ 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 (- 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))) |
(/ 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))))) |
(* -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))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 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 (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 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))) |
(/ 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))))) |
| Outputs |
|---|
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 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (+ x (* -1 (* y (- 1 x)))) 1))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (+ x (* y (+ (* -1 (* y (- 1 x))) (* -1 (- 1 x))))) 1))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 x y x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 x y x) y x) y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) y x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 x y x) y x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 x y x) y x) y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 x y x) y x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 x y x) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 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) |
(* -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) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) y y) y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) y y) y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) y y) 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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))) (* -1 (/ (- x 1) (pow y 3)))))) |
(fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) x) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(* y (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* y (- (+ x (/ x y)) 1)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
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(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (/ (* x (+ 1 y)) (- (pow y 2) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y x)) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y x)) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 y)) (* x (- (pow y 2) 1)))) (+ (/ 1 (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y x)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/ 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)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/ 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)) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 x y x) y x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 x y x) y x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 x y x) y x) |
(* -1 (* x (- (* y (- (* -1 y) 1)) 1))) |
(fma.f64 (fma.f64 x y x) y x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
| 6 026× | lower-fma.f32 |
| 6 020× | lower-fma.f64 |
| 5 078× | lower-/.f32 |
| 5 072× | lower-/.f64 |
| 3 866× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 155 |
| 0 | 42 | 156 |
| 1 | 191 | 142 |
| 2 | 1626 | 140 |
| 0 | 9653 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
#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 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x)) |
(fma.f64 (fma.f64 y x x) y x) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(neg.f64 y) |
(*.f64 y y) |
| Outputs |
|---|
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Compiled 26 982 to 3 561 computations (86.8% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 413 | 6 | 1 419 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 417 | 15 | 1 432 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| 30.4% | #s(approx (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) | |
| ▶ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 52.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 48.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 14.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ▶ | 51.7% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| ▶ | 14.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ✓ | 37.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ✓ | 37.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| ▶ | 38.0% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| 3.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 x y)))) | |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| ✓ | 40.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 167 to 157 computations (6% 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 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
| 720× | lower-fma.f32 |
| 718× | lower-fma.f64 |
| 464× | lower-*.f32 |
| 462× | lower-*.f64 |
| 260× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 181 |
| 0 | 39 | 181 |
| 1 | 58 | 181 |
| 2 | 79 | 181 |
| 3 | 116 | 181 |
| 4 | 246 | 181 |
| 5 | 364 | 181 |
| 6 | 683 | 181 |
| 7 | 1028 | 181 |
| 8 | 1212 | 181 |
| 9 | 1448 | 181 |
| 10 | 1637 | 181 |
| 11 | 1662 | 181 |
| 12 | 1671 | 181 |
| 13 | 1688 | 181 |
| 14 | 1700 | 181 |
| 0 | 1700 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
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 |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
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 | 0.015625 | (/.f64 x #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 30.8133872637124 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 32.67722545165034 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 32.107010946632926 | #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 32.67722545165034 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| accuracy | 0 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| accuracy | 30.701602148167623 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| accuracy | 32.41757236830755 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 30.134446313598644 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| accuracy | 32.35946540829449 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) | |
| accuracy | 30.954377398331726 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) | |
| accuracy | 32.50376807803408 | #s(approx (- 1 x) (neg.f64 x)) |
| 36.0ms | 256× | 0 | valid |
Compiled 106 to 21 computations (80.2% saved)
ival-sub: 7.0ms (33.7% of total)ival-div: 7.0ms (33.7% of total)ival-mult: 3.0ms (14.4% of total)ival-neg: 2.0ms (9.6% of total)ival-add: 1.0ms (4.8% 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)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #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 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
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#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (* (- 1 y) x) (- 1 y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg x)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (* (- 1 y) x) (- 1 y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg x)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (* (- 1 y) x) (- 1 y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg x)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (* (- 1 y) x) (- 1 y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg x)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (* (- 1 y) x) (- 1 y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (neg x)) |
| 1× | egg-herbie |
| 17 778× | lower-fma.f64 |
| 17 778× | lower-fma.f32 |
| 3 212× | lower-*.f64 |
| 3 212× | lower-*.f32 |
| 3 046× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 2700 |
| 1 | 556 | 2438 |
| 2 | 1539 | 2308 |
| 3 | 5249 | 2212 |
| 0 | 8512 | 2140 |
| 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 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) 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 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
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))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -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))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
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 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
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 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
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 (/ 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)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
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 (/ 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 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
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 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
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 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
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 (/ 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 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
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 (/ 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 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))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -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))) |
(* -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))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- 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)) |
(/ x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 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)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ 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)) |
(* 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)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ 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)) |
(/ 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)))) (/ 1 (- 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)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 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 (- 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))))) |
(* -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))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 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 (- 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)) |
(* -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 (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) (neg.f64 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 (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ 1 (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ (* -1 y) (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 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 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y x)) |
(/ 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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 326× | lower-fma.f32 |
| 5 324× | lower-fma.f64 |
| 4 124× | lower-/.f32 |
| 4 120× | lower-/.f64 |
| 3 500× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 167 |
| 0 | 39 | 167 |
| 1 | 156 | 167 |
| 2 | 1146 | 167 |
| 0 | 8714 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#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 x) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 8 444 to 1 384 computations (83.6% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 2 | 664 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 664 | 15 | 679 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| 30.4% | #s(approx (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) | |
| ✓ | 49.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 52.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 48.9% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| ✓ | 14.1% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| ✓ | 51.7% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| ✓ | 14.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ✓ | 37.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y x x) y x))) |
| ✓ | 37.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 4.0% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) | |
| 38.0% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) | |
| 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) | |
| ✓ | 40.4% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 301 to 183 computations (39.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 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)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) y) x)) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x)) |
#s(approx (/ (- x y) (/ (- (* y y) 1) (- (neg y) 1))) (/.f64 (fma.f64 y y y) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (- y x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 34.0ms | x |
| 10.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 8.0ms | y |
| 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 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 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)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) y) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
3 calls:
| 8.0ms | x |
| 6.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | x |
| 98.9% | 3 | y |
| 98.9% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 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)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) 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)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 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)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#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))) |
2 calls:
| 10.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 88.4% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 y #s(literal 1 binary64)))) |
| 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 (- x 1) #s(literal -1 binary64)) y x)) |
#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))) |
1 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) 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 (- x 1) #s(literal -1 binary64)) 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:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#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 (fma.f64 y x x) y x))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | y |
| 86.7% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (+ (* (- x 1) (+ (* y y) y)) x) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 86.5% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 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 (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
3 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 3 | x |
| 77.7% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 75.0% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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 (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.4% | 1 | x |
| 51.3% | 3 | y |
| 51.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% 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)) |
2 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.4% | 1 | y |
| 40.4% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0034761278453708435 | 1.2729769388675063 |
| 12.0ms | -6661259266.383292 | -0.01541255485060638 |
| 11.0ms | 288× | 0 | valid |
Compiled 334 to 317 computations (5.1% saved)
ival-sub: 3.0ms (58.2% of total)ival-div: 2.0ms (38.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0034761278453708435 | 1.2729769388675063 |
| 6.0ms | -6661259266.383292 | -0.01541255485060638 |
| 2.0ms | 48× | 0 | valid |
Compiled 334 to 317 computations (5.1% saved)
ival-sub: 0.0ms (0% 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 | 4.663313114099232 | 1890.7974224963993 |
| 0.0ms | 0.010412254726183678 | 0.7778937006957731 |
| 0.0ms | -6148.362265328048 | -0.198667666513753 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.663313114099232 | 1890.7974224963993 |
| 0.0ms | 0.010412254726183678 | 0.7778937006957731 |
| 0.0ms | -6148.362265328048 | -0.198667666513753 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.663313114099232 | 1890.7974224963993 |
| 0.0ms | 0.010412254726183678 | 0.7778937006957731 |
| 0.0ms | -6148.362265328048 | -0.198667666513753 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0034761278453708435 | 1.2729769388675063 |
| 1.0ms | -6661259266.383292 | -0.01541255485060638 |
Compiled 172 to 227 computations (-32% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0034761278453708435 | 1.2729769388675063 |
| 11.0ms | -6661259266.383292 | -0.01541255485060638 |
| 6.0ms | 128× | 0 | valid |
Compiled 154 to 227 computations (-47.4% saved)
ival-sub: 1.0ms (42.2% of total)ival-div: 1.0ms (42.2% 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 | 4.663313114099232 | 1890.7974224963993 |
| 0.0ms | 2.905200451997012e-9 | 0.010412254726183678 |
| 0.0ms | 5.347952974691086e-84 | 8.424688330895481e-84 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.663313114099232 | 1890.7974224963993 |
| 0.0ms | 2.905200451997012e-9 | 0.010412254726183678 |
| 0.0ms | 5.347952974691086e-84 | 8.424688330895481e-84 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.905200451997012e-9 | 0.010412254726183678 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 24× | +-commutative-binary64-+.f64 |
| 22× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 8× | *-commutative-binary64-*.f64 |
| 8× | neg-sub0-binary64--.f64-neg.f64 |
| 8× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 692 |
| 1 | 103 | 692 |
| 2 | 118 | 692 |
| 3 | 128 | 692 |
| 4 | 129 | 692 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (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)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (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)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 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 5 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 -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 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 -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 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 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)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -48 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (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 -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (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)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (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)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 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 5 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 -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 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 -5000 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 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 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)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -48 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 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 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| 18 702× | lower-fma.f64 |
| 18 702× | lower-fma.f32 |
| 17 778× | lower-fma.f64 |
| 17 778× | lower-fma.f32 |
| 14 042× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 2700 |
| 1 | 556 | 2438 |
| 2 | 1539 | 2308 |
| 3 | 5249 | 2212 |
| 0 | 8512 | 2140 |
| 0 | 334 | 3161 |
| 1 | 1038 | 2935 |
| 2 | 3088 | 2715 |
| 0 | 8415 | 2618 |
| 0 | 26 | 155 |
| 0 | 42 | 156 |
| 1 | 191 | 142 |
| 2 | 1626 | 140 |
| 0 | 9653 | 139 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 0 | 243 | 2739 |
| 1 | 770 | 2568 |
| 2 | 2186 | 2494 |
| 3 | 7812 | 2350 |
| 0 | 8421 | 2193 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 540 to 247 computations (54.3% saved)
Compiled 790 to 168 computations (78.7% saved)
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