
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 495.0ms | 8 256× | 0 | valid |
ival-add: 180.0ms (56.7% of total)ival-sub: 66.0ms (20.8% of total)ival-mult: 63.0ms (19.8% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-mult: 4.0ms (44.7% of total)ival-add: 3.0ms (33.5% of total)ival-sub: 2.0ms (22.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 496× | lower-fma.f64 |
| 496× | lower-fma.f32 |
| 234× | cancel-sign-sub-inv |
| 200× | sub-neg |
| 192× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 56 | 35 |
| 2 | 165 | 35 |
| 3 | 450 | 35 |
| 4 | 957 | 35 |
| 5 | 1224 | 35 |
| 6 | 1248 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 17 | 7 |
| 2 | 37 | 7 |
| 3 | 66 | 7 |
| 4 | 108 | 7 |
| 5 | 223 | 7 |
| 6 | 346 | 7 |
| 7 | 509 | 7 |
| 8 | 544 | 7 |
| 9 | 546 | 7 |
| 0 | 546 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(sort x y)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 128 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 496× | lower-fma.f64 |
| 496× | lower-fma.f32 |
| 192× | lower-*.f32 |
| 190× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 17 | 15 |
| 2 | 37 | 15 |
| 3 | 66 | 15 |
| 4 | 108 | 15 |
| 5 | 223 | 15 |
| 6 | 346 | 15 |
| 7 | 509 | 15 |
| 8 | 544 | 15 |
| 9 | 546 | 15 |
| 0 | 546 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x y) |
x |
y |
(*.f64 x y) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(*.f64 x y) |
(*.f64 y x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-mult: 2.0ms (45.8% of total)ival-sub: 1.0ms (22.9% of total)ival-add: 1.0ms (22.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 x))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) (*.f64 x y)) (patch (-.f64 (+.f64 x y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((- (+ x y) (* x y)) (+ x y) (* x y)) |
| 1.0ms | y | @ | inf | ((- (+ x y) (* x y)) (+ x y) (* x y)) |
| 1.0ms | y | @ | -inf | ((- (+ x y) (* x y)) (+ x y) (* x y)) |
| 1.0ms | x | @ | 0 | ((- (+ x y) (* x y)) (+ x y) (* x y)) |
| 0.0ms | x | @ | inf | ((- (+ x y) (* x y)) (+ x y) (* x y)) |
| 1× | egg-herbie |
| 19 840× | lower-fma.f64 |
| 19 840× | lower-fma.f32 |
| 4 002× | associate-*r/ |
| 3 856× | lower-/.f32 |
| 3 856× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 280 |
| 1 | 125 | 280 |
| 2 | 282 | 280 |
| 3 | 843 | 280 |
| 4 | 2196 | 280 |
| 5 | 3219 | 280 |
| 6 | 4113 | 280 |
| 7 | 4716 | 280 |
| 8 | 5053 | 280 |
| 9 | 5271 | 280 |
| 10 | 5366 | 280 |
| 11 | 5406 | 280 |
| 12 | 5426 | 280 |
| 13 | 5426 | 280 |
| 14 | 5444 | 280 |
| 15 | 5444 | 280 |
| 0 | 9619 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 5 194× | lower-fma.f64 |
| 5 194× | lower-fma.f32 |
| 4 332× | lower-*.f32 |
| 4 330× | lower-*.f64 |
| 2 332× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 41 | 13 |
| 2 | 356 | 13 |
| 3 | 5362 | 13 |
| 0 | 8304 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x y) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) (-.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 y x (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x (+.f64 y x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (fma.f64 y x (+.f64 y x)))) |
(*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 x) y y) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 y) x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 (neg.f64 y) x x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64)) (*.f64 y (fma.f64 (neg.f64 y) x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y x (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (*.f64 (fma.f64 y x (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (fma.f64 y x (+.f64 y x)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))) (-.f64 x (fma.f64 (neg.f64 x) y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 x) y y)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y x) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
Compiled 5 320 to 566 computations (89.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 3 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 3 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 63.6% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ▶ | 65.3% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| 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 y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 496× | lower-fma.f32 |
| 494× | lower-fma.f64 |
| 192× | lower-*.f32 |
| 188× | lower-*.f64 |
| 136× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 74 |
| 0 | 19 | 74 |
| 1 | 36 | 74 |
| 2 | 66 | 71 |
| 3 | 98 | 71 |
| 4 | 171 | 71 |
| 5 | 297 | 71 |
| 6 | 440 | 71 |
| 7 | 523 | 71 |
| 8 | 553 | 71 |
| 0 | 553 | 71 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (- (+ x y) (* x 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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (- (+ x y) (* x 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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 23.301186064923737 | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 22.20712864890885 | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 33.0ms | 256× | 0 | valid |
Compiled 58 to 13 computations (77.6% saved)
ival-mult: 5.0ms (44.2% of total)ival-sub: 3.0ms (26.5% of total)ival-add: 2.0ms (17.7% 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) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<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>) () ()) |
#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x 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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (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 (* y (- 1 x)) (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 (* y (- 1 x)) (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 (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#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 (* x y))) (taylor 0 y) (#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 (* x y))) (taylor 0 y) (#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 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x y)) x)) (taylor inf y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf 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 (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x 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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<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 (+ y (* -1 (/ y x))))) (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 (+ y (* -1 (/ y x))))) (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 (+ y (* -1 (/ y x))))) (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>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (- (+ x y) (* x 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 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x)) |
| 1.0ms | y | @ | -inf | ((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x)) |
| 1.0ms | x | @ | -inf | ((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x)) |
| 1.0ms | x | @ | inf | ((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x)) |
| 1.0ms | y | @ | 0 | ((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x)) |
| 1× | egg-herbie |
| 4 268× | lower-fma.f64 |
| 4 268× | lower-fma.f32 |
| 4 064× | lower-*.f64 |
| 4 064× | lower-*.f32 |
| 2 480× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 913 |
| 1 | 221 | 884 |
| 2 | 541 | 884 |
| 3 | 1326 | 884 |
| 4 | 2656 | 884 |
| 5 | 3882 | 884 |
| 6 | 4466 | 884 |
| 7 | 4902 | 884 |
| 8 | 5099 | 884 |
| 9 | 5189 | 884 |
| 10 | 5934 | 884 |
| 11 | 6106 | 884 |
| 12 | 6336 | 884 |
| 13 | 7080 | 884 |
| 0 | 8004 | 812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 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 (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* -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)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -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)))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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 (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -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) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -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) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
y |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x 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) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.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 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 8 172× | lower-fma.f32 |
| 8 170× | lower-fma.f64 |
| 5 766× | lower-*.f32 |
| 5 762× | lower-*.f64 |
| 4 076× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 62 |
| 0 | 19 | 62 |
| 1 | 88 | 59 |
| 2 | 708 | 59 |
| 0 | 8480 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- (+ x y) (* x 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) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.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) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 (neg.f64 x) y))) |
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (*.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y) (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y) |
(fma.f64 (neg.f64 x) y y) |
(fma.f64 (neg.f64 y) x y) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(fma.f64 x (neg.f64 y) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) x) y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) y) |
(+.f64 y (*.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y x (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))) (*.f64 (-.f64 y (fma.f64 y x x)) (*.f64 x x))) (*.f64 (-.f64 y (fma.f64 y x x)) (-.f64 y (fma.f64 y x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (*.f64 (fma.f64 y x (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x (+.f64 y x)) (fma.f64 y x (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 y (fma.f64 y x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y (fma.f64 y x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 (neg.f64 x) y) (+.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 y (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 (neg.f64 x) y) (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y (fma.f64 y x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 (neg.f64 x) y) (+.f64 y x)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y (fma.f64 y x x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 y (fma.f64 y x x)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (+.f64 y x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 y (fma.f64 y x x))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x (+.f64 y x))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) y)) x) |
(fma.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (+.f64 y x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))) x) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) y) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 x) y (+.f64 y x)) |
(fma.f64 (neg.f64 y) x (+.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64) (+.f64 y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) y) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) y) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 y (fma.f64 y x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y (fma.f64 y x x))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y) (+.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
(fma.f64 y (neg.f64 x) (+.f64 y x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 x (neg.f64 y) (+.f64 y x)) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 (fma.f64 (neg.f64 x) y (/.f64 (*.f64 x x) (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (+.f64 (+.f64 y x) #s(literal 0 binary64)) (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))) (/.f64 (*.f64 x x) (-.f64 y (fma.f64 y x x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (neg.f64 x) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (+.f64 y x))) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
(-.f64 y (-.f64 (*.f64 y x) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y (fma.f64 y x x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 x) y) (+.f64 y x)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
Compiled 8 929 to 1 348 computations (84.9% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 544 | 5 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 545 | 7 | 552 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 63.6% | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| ▶ | 71.4% | #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 65.3% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 30.0% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ▶ | 35.3% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ▶ | 38.4% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Compiled 69 to 70 computations (-1.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x x) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| 704× | lower-fma.f32 |
| 700× | lower-fma.f64 |
| 352× | lower-*.f32 |
| 346× | lower-*.f64 |
| 200× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 0 | 29 | 146 |
| 1 | 55 | 146 |
| 2 | 76 | 146 |
| 3 | 116 | 146 |
| 4 | 166 | 146 |
| 5 | 357 | 146 |
| 6 | 483 | 146 |
| 7 | 614 | 146 |
| 8 | 790 | 146 |
| 9 | 924 | 146 |
| 10 | 945 | 146 |
| 11 | 951 | 146 |
| 12 | 960 | 146 |
| 13 | 966 | 146 |
| 0 | 966 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 (neg.f64 y) x x) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 (neg.f64 y) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(neg.f64 y) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (neg.f64 y) x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 23.301186064923737 | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 23.301186064923737 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 30.627549802128556 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| accuracy | 23.301186064923737 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| accuracy | 33.747950744575924 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| accuracy | 22.20712864890885 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| accuracy | 31.43163389424019 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) | |
| accuracy | 0 | #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) | |
| accuracy | 31.43163389424019 | #s(approx (- 1 x) #s(literal 1 binary64)) |
| 43.0ms | 256× | 0 | valid |
Compiled 92 to 16 computations (82.6% saved)
ival-sub: 19.0ms (63.9% of total)ival-mult: 6.0ms (20.2% of total)ival-add: 3.0ms (10.1% of total)ival-neg: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x | @ | inf | ((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x)) |
| 17.0ms | x | @ | -inf | ((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x)) |
| 1.0ms | y | @ | -inf | ((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x)) |
| 1.0ms | y | @ | inf | ((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x)) |
| 1.0ms | x | @ | 0 | ((- (+ x y) (* x y)) (+ (* (- 1 x) y) x) (- 1 x) (- (+ x y) (* x y)) (* (- 1 x) y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (+ (* (neg y) x) x)) |
| 1× | egg-herbie |
| 4 304× | lower-fma.f64 |
| 4 304× | lower-fma.f32 |
| 4 152× | lower-*.f64 |
| 4 152× | lower-*.f32 |
| 2 480× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1539 |
| 1 | 221 | 1464 |
| 2 | 541 | 1464 |
| 3 | 1316 | 1464 |
| 4 | 2647 | 1464 |
| 5 | 3863 | 1464 |
| 6 | 4448 | 1464 |
| 7 | 4884 | 1464 |
| 8 | 5081 | 1464 |
| 9 | 5171 | 1464 |
| 10 | 5910 | 1464 |
| 11 | 6079 | 1464 |
| 12 | 6309 | 1464 |
| 13 | 7053 | 1464 |
| 0 | 8020 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 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 (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 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)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* -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)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* -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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -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)))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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 (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (- 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
x |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -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) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- (+ 1 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -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) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) 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) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
y |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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) |
y |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ y (* x (- 1 y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (- (+ 1 (/ y x)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) 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 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x 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 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 10 892× | lower-fma.f32 |
| 10 888× | lower-fma.f64 |
| 5 776× | lower-*.f32 |
| 5 770× | lower-*.f64 |
| 3 790× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 128 |
| 0 | 29 | 128 |
| 1 | 117 | 128 |
| 2 | 841 | 128 |
| 0 | 8755 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 (neg.f64 y) x x) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (pow.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))))) |
(+.f64 (*.f64 (neg.f64 y) x) x) |
(+.f64 x (*.f64 (neg.f64 y) x)) |
Compiled 5 046 to 640 computations (87.3% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 0 | 475 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 475 | 7 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ✓ | 63.6% | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| ✓ | 71.4% | #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| ✓ | 65.3% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 30.0% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ✓ | 35.3% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 38.4% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Compiled 95 to 69 computations (27.4% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
3 calls:
| 8.0ms | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
| 98.8% | 3 | y |
| 98.3% | 2 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 calls:
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | y |
| 81.3% | 3 | x |
| 92.8% | 3 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
2 calls:
| 3.0ms | y |
| 2.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 81.7% | 4 | y |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
3 calls:
| 2.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 1 | y |
| 71.4% | 1 | x |
| 71.4% | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
3 calls:
| 4.0ms | y |
| 2.0ms | x |
| 1.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 2 | y |
| 61.8% | 2 | x |
| 70.9% | 2 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.4% | 1 | y |
| 38.4% | 1 | x |
| 38.4% | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.0708018100133196e-275 | 9.26909459163729e-273 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.0708018100133196e-275 | 9.26909459163729e-273 |
Compiled 10 to 10 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.32279814099635845 | 3.2861448923482817 |
| 84.0ms | -13896.424839924453 | -6.319665816901775e-9 |
| 10.0ms | 256× | 0 | valid |
Compiled 202 to 234 computations (-15.8% saved)
ival-mult: 2.0ms (45.1% of total)ival-sub: 1.0ms (22.5% of total)ival-add: 1.0ms (22.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.033481271524778e+307 | +inf |
| 0.0ms | -1.50500642010726e+295 | -1.5754760630527073e+293 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.0708018100133196e-275 | 9.26909459163729e-273 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 18× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 278 |
| 1 | 69 | 278 |
| 2 | 82 | 278 |
| 3 | 87 | 278 |
| 4 | 89 | 278 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 y #s(literal -13600 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (-.f64 (+.f64 y x) (*.f64 y x)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (-.f64 (+.f64 y x) (*.f64 y x)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 y #s(literal -13600 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
(if (<=.f64 (-.f64 (+.f64 y x) (*.f64 y x)) #s(literal -9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 y x) (*.f64 y x)) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(if (<=.f64 (-.f64 (+.f64 y x) (*.f64 y x)) #s(literal -6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| 19 840× | lower-fma.f64 |
| 19 840× | lower-fma.f32 |
| 8 172× | lower-fma.f32 |
| 8 170× | lower-fma.f64 |
| 5 766× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 280 |
| 1 | 125 | 280 |
| 2 | 282 | 280 |
| 3 | 843 | 280 |
| 4 | 2196 | 280 |
| 5 | 3219 | 280 |
| 6 | 4113 | 280 |
| 7 | 4716 | 280 |
| 8 | 5053 | 280 |
| 9 | 5271 | 280 |
| 10 | 5366 | 280 |
| 11 | 5406 | 280 |
| 12 | 5426 | 280 |
| 13 | 5426 | 280 |
| 14 | 5444 | 280 |
| 15 | 5444 | 280 |
| 0 | 9619 | 262 |
| 0 | 71 | 913 |
| 1 | 221 | 884 |
| 2 | 541 | 884 |
| 3 | 1326 | 884 |
| 4 | 2656 | 884 |
| 5 | 3882 | 884 |
| 6 | 4466 | 884 |
| 7 | 4902 | 884 |
| 8 | 5099 | 884 |
| 9 | 5189 | 884 |
| 10 | 5934 | 884 |
| 11 | 6106 | 884 |
| 12 | 6336 | 884 |
| 13 | 7080 | 884 |
| 0 | 8004 | 812 |
| 0 | 14 | 62 |
| 0 | 19 | 62 |
| 1 | 88 | 59 |
| 2 | 708 | 59 |
| 0 | 8480 | 59 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 253 to 154 computations (39.1% saved)
Compiled 320 to 110 computations (65.6% saved)
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