
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 860.0ms | 8 256× | 0 | valid |
ival-sub: 156.0ms (47.8% of total)ival-mult: 94.0ms (28.8% of total)ival-add: 67.0ms (20.5% of total)ival-true: 6.0ms (1.8% 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 |
| 20.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-mult: 4.0ms (44.6% 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 | 0.015625 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 36.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-mult: 2.0ms (44.5% of total)ival-sub: 1.0ms (22.2% of total)ival-add: 1.0ms (22.2% 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | x | @ | -inf | ((- (+ 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)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 4 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 5 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) |
| ✓ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ▶ | 100.0% | #s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| ▶ | 61.7% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ▶ | 62.5% | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
Compiled 33 to 29 computations (12.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) | |
| 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 |
| 490× | lower-fma.f64 |
| 192× | lower-*.f32 |
| 188× | lower-*.f64 |
| 136× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 89 |
| 0 | 26 | 87 |
| 1 | 49 | 87 |
| 2 | 78 | 84 |
| 3 | 107 | 84 |
| 4 | 181 | 84 |
| 5 | 308 | 84 |
| 6 | 449 | 84 |
| 7 | 528 | 84 |
| 8 | 560 | 84 |
| 0 | 560 | 84 |
| 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 |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
x |
| 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 |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) | |
| 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 | 0.0078125 | (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 | 24.48038505608225 | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 23.979504691812508 | #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 38.0ms | 256× | 0 | valid |
Compiled 76 to 18 computations (76.3% saved)
ival-add: 16.0ms (58.4% of total)ival-mult: 7.0ms (25.6% of total)ival-sub: 3.0ms (11% 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>) () ()) |
#s(alt (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) (patch (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) #<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>) () ())) ()) |
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#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#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 (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) (patch (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) (patch (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) (patch (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) (patch (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | 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 y) 1) (+ (* (+ (* -1 y) 1) x) y)) |
| 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 y) 1) (+ (* (+ (* -1 y) 1) x) y)) |
| 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 y) 1) (+ (* (+ (* -1 y) 1) x) y)) |
| 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 y) 1) (+ (* (+ (* -1 y) 1) x) y)) |
| 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 y) 1) (+ (* (+ (* -1 y) 1) x) y)) |
| 1× | egg-herbie |
| 4 240× | lower-fma.f64 |
| 4 240× | lower-fma.f32 |
| 3 856× | lower-*.f64 |
| 3 856× | lower-*.f32 |
| 2 480× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1095 |
| 1 | 271 | 1064 |
| 2 | 669 | 1064 |
| 3 | 1637 | 1064 |
| 4 | 3040 | 1064 |
| 5 | 4209 | 1064 |
| 6 | 4760 | 1064 |
| 7 | 5140 | 1064 |
| 8 | 5335 | 1064 |
| 9 | 5425 | 1064 |
| 10 | 6206 | 1064 |
| 11 | 6378 | 1064 |
| 12 | 6608 | 1064 |
| 13 | 7352 | 1064 |
| 0 | 8032 | 974 |
| 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))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
x |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -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)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -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)) |
(* 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))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
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)))) |
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))) |
(* 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))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
| 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) |
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 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ 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 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) |
(* -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 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ 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) |
(* 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) |
(* -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 (- x 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(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) |
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) |
(* 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) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 12 658× | lower-fma.f32 |
| 12 652× | lower-fma.f64 |
| 5 450× | lower-*.f32 |
| 5 446× | lower-*.f64 |
| 3 644× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 73 |
| 0 | 26 | 71 |
| 1 | 121 | 68 |
| 2 | 971 | 68 |
| 0 | 9163 | 68 |
| 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) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) |
| 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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 y (*.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.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 y) x))))) |
(/.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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.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 (neg.f64 x) y y) |
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) y) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (neg.f64 y) x)) |
(fma.f64 (neg.f64 y) x y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 y) x)) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) y) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) |
(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 y) x) y) |
(+.f64 y (*.f64 (neg.f64 y) x)) |
(*.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))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
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(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 (neg.f64 y) x))) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (neg.f64 x) y (+.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 y) x) #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 (fma.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) y) x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (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 (-.f64 #s(literal 1 binary64) y) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(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 (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 (neg.f64 x)) y)) |
(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 y) (neg.f64 x))) |
(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) (neg.f64 y))) |
(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))) (neg.f64 (*.f64 (neg.f64 y) x))) |
(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 y) x)) |
(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 y x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (neg.f64 (*.f64 (neg.f64 y) x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 (neg.f64 y) x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))) (*.f64 y x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 (neg.f64 y) x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y))))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (-.f64 x (*.f64 (neg.f64 y) x))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 (neg.f64 y) x (+.f64 y 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 #s(literal -1 binary64) (neg.f64 y) (-.f64 x (*.f64 (neg.f64 y) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (+.f64 y x)) |
(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 y) x) (+.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 y x)) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (neg.f64 (*.f64 (neg.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (neg.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) y (-.f64 x (*.f64 (neg.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 y (*.f64 (neg.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (+.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (+.f64 y x)) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 y) x))) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) |
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 y x)) |
(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 x (*.f64 (neg.f64 y) x))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 y x (+.f64 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 y (*.f64 (neg.f64 y) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 x y (+.f64 y x)) |
(-.f64 (fma.f64 y x (/.f64 (*.f64 x x) (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 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 (*.f64 y y) (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) |
(-.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 (-.f64 #s(literal 1 binary64) y) x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (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 (-.f64 #s(literal 1 binary64) y) x y) (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 (neg.f64 y) x))) |
(-.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 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (+.f64 y x))) |
(-.f64 (+.f64 y x) (*.f64 (neg.f64 y) x)) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
(-.f64 y (-.f64 (*.f64 y x) x)) |
(+.f64 (-.f64 (+.f64 y x) #s(literal 0 binary64)) (*.f64 y x)) |
(+.f64 (fma.f64 y x x) y) |
(+.f64 (fma.f64 y x y) 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 (-.f64 #s(literal 1 binary64) y) x y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (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 (-.f64 #s(literal 1 binary64) y) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (neg.f64 y))))) |
(+.f64 (*.f64 (neg.f64 y) x) (+.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 y x)) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 y) (neg.f64 x))) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 x) (neg.f64 y))) |
(+.f64 (+.f64 y x) (neg.f64 (*.f64 (neg.f64 y) x))) |
(+.f64 (+.f64 y x) (*.f64 (neg.f64 y) x)) |
(+.f64 (+.f64 y x) (*.f64 y x)) |
(+.f64 y (-.f64 x (*.f64 (neg.f64 y) x))) |
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+.f64 x (-.f64 y (*.f64 (neg.f64 y) x))) |
(+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
Compiled 18 855 to 1 739 computations (90.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 042 | 7 | 1 049 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 1 | 0 | 1 |
| Total | 1 047 | 7 | 1 054 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 62.5% | (fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y) | |
| ▶ | 77.1% | (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
| 61.7% | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) | |
| ▶ | 25.2% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ▶ | 39.0% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ▶ | 40.3% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Compiled 78 to 76 computations (2.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #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) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) | |
| 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 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 704× | lower-fma.f32 |
| 700× | lower-fma.f64 |
| 352× | lower-*.f32 |
| 346× | lower-*.f64 |
| 200× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 124 |
| 0 | 34 | 120 |
| 1 | 59 | 120 |
| 2 | 87 | 117 |
| 3 | 124 | 117 |
| 4 | 212 | 117 |
| 5 | 367 | 117 |
| 6 | 509 | 117 |
| 7 | 641 | 117 |
| 8 | 785 | 117 |
| 9 | 887 | 117 |
| 10 | 925 | 117 |
| 11 | 934 | 117 |
| 12 | 941 | 117 |
| 13 | 946 | 117 |
| 14 | 948 | 117 |
| 0 | 948 | 117 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 #s(literal 1 binary64) y) |
#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 |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
y |
#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 |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 #s(literal 1 binary64) y) |
#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 |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) |
#s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
y |
#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 |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 24.48038505608225 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 31.63606759818832 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) | |
| accuracy | 32.27789115078616 | #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| accuracy | 24.48038505608225 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| accuracy | 32.27789115078616 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| accuracy | 23.979504691812508 | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| accuracy | 30.727422264150526 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 28.0ms | 256× | 0 | valid |
Compiled 85 to 19 computations (77.6% saved)
ival-mult: 7.0ms (42.7% of total)ival-add: 4.0ms (24.4% of total)ival-sub: 3.0ms (18.3% of total)ival-neg: 1.0ms (6.1% 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 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x y) (* 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 (- 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 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 (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1 y) 1) #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>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt 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 (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1 y) 1) #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 (* y (+ 1 (* -1 x))) (taylor inf y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf 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 y)) x)) (taylor inf 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 y)) x)) (taylor inf 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 y)) x)) (taylor inf 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 inf 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 inf 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 inf 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 inf 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 inf 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 (* y (- (+ 1 (/ x y)) x)) (taylor inf 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 (* y (- (+ 1 (/ x y)) x)) (taylor inf 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>) () ())) ()) |
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#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 (* -1 y))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) (patch (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x 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) (neg.f64 y)) x)) (patch #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 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 #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 (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 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 (* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (- 1 y) x) y) (- 1 y) (- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (+ (* (+ (* -1 y) 1) x) y) (+ (* -1 y) 1) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y)) |
| 1.0ms | y | @ | -inf | ((+ (* (- 1 y) x) y) (- 1 y) (- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (+ (* (+ (* -1 y) 1) x) y) (+ (* -1 y) 1) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y)) |
| 1.0ms | y | @ | inf | ((+ (* (- 1 y) x) y) (- 1 y) (- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (+ (* (+ (* -1 y) 1) x) y) (+ (* -1 y) 1) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y)) |
| 1.0ms | y | @ | 0 | ((+ (* (- 1 y) x) y) (- 1 y) (- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (+ (* (+ (* -1 y) 1) x) y) (+ (* -1 y) 1) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y)) |
| 1.0ms | x | @ | inf | ((+ (* (- 1 y) x) y) (- 1 y) (- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (+ (* (+ (* -1 y) 1) x) y) (+ (* -1 y) 1) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y)) |
| 1× | egg-herbie |
| 4 264× | lower-fma.f64 |
| 4 264× | lower-fma.f32 |
| 3 952× | lower-*.f64 |
| 3 952× | lower-*.f32 |
| 2 480× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1318 |
| 1 | 252 | 1266 |
| 2 | 577 | 1266 |
| 3 | 1484 | 1266 |
| 4 | 2874 | 1266 |
| 5 | 4070 | 1266 |
| 6 | 4621 | 1266 |
| 7 | 5001 | 1266 |
| 8 | 5198 | 1266 |
| 9 | 5288 | 1266 |
| 10 | 6018 | 1266 |
| 11 | 6190 | 1266 |
| 12 | 6420 | 1266 |
| 13 | 7164 | 1266 |
| 0 | 8013 | 1176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
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 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
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) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -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 (- 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 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -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) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -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)) |
(* 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)))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -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 |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 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 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -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)) |
(* 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)) 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 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -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)) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- 1 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))))) |
(* -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 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 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)) |
| Outputs |
|---|
x |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
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 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
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) |
(* y (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 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 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 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) |
(* -1 (* y (- x 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 (+ 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 (- x 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 (+ 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 |
(+ 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 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 (* -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) |
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) |
(* 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 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 y) x) |
(* 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 (* -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 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) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ 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 y) x) |
(* -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 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ 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) |
(* 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) |
| 8 984× | lower-fma.f32 |
| 8 980× | lower-fma.f64 |
| 4 204× | lower-*.f32 |
| 4 198× | lower-*.f64 |
| 2 566× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 112 |
| 0 | 34 | 108 |
| 1 | 132 | 105 |
| 2 | 982 | 101 |
| 0 | 9596 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 #s(literal 1 binary64) y) |
#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(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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#s(approx (+ (* -1 y) 1) #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) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (-.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) x y) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (*.f64 y y))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 (-.f64 #s(literal -1 binary64) y) x y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) x y) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) y) x y))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(*.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) x y) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) x y) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (- 1 y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))) |
(*.f64 (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) |
(pow.f64 (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)))) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (*.f64 y y))) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(literal 1 binary64)) x y) |
(fma.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) |
(fma.f64 x (*.f64 #s(literal 1 binary64) #s(approx (- 1 y) #s(literal 1 binary64))) y) |
(fma.f64 x #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(-.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) |
(-.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) y) |
(+.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x #s(literal 0 binary64)) y) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y)) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x y))) |
(+.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) y) |
(+.f64 y (*.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) y) x)) |
(*.f64 (*.f64 #s(approx (- 1 y) y) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(approx (- 1 y) y) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (- 1 y) y) x) |
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (- 1 y) y))) |
(*.f64 x #s(approx (- 1 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) y) x)) |
#s(approx (- 1 y) y) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) y) |
(/.f64 (*.f64 y y) y) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) y) |
y |
Compiled 7 455 to 807 computations (89.2% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 1 | 557 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 557 | 7 | 564 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| ▶ | 62.5% | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
| ✓ | 77.1% | (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
| ▶ | 61.7% | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| ✓ | 25.2% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ✓ | 39.0% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 40.3% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Compiled 39 to 38 computations (2.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) | |
| 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)) |
| 608× | lower-fma.f32 |
| 604× | lower-fma.f64 |
| 256× | lower-*.f64 |
| 256× | lower-*.f32 |
| 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 17 | 41 |
| 1 | 40 | 41 |
| 2 | 60 | 41 |
| 3 | 98 | 41 |
| 4 | 148 | 41 |
| 5 | 315 | 41 |
| 6 | 408 | 41 |
| 7 | 553 | 41 |
| 8 | 653 | 41 |
| 9 | 686 | 41 |
| 10 | 691 | 41 |
| 11 | 694 | 41 |
| 12 | 696 | 41 |
| 0 | 696 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
#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 |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) | |
| accuracy | 31.63606759818832 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 (neg.f64 y) x x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 24.48038505608225 | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 33 to 14 computations (57.6% saved)
ival-mult: 5.0ms (42.5% of total)ival-add: 3.0ms (25.5% of total)ival-sub: 2.0ms (17% of total)ival-neg: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 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>) () ())) ()) |
#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 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1 x)))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<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 (* y (- 1 x)) (taylor inf 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 (* y (- (+ 1 (/ x y)) x)) (taylor inf 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 (* y (- (+ 1 (/ x y)) x)) (taylor inf 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 (* y (- (+ 1 (/ x y)) x)) (taylor inf 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 (* -1 (* x y)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 x))) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 x))) (taylor -inf 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 (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf 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 (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf 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 (* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x))))) (taylor -inf 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 (* -1 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- x 1))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ x (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ x (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ x (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 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 (+ y (* x (- 1 y))) (taylor 0 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 (+ y (* x (- 1 y))) (taylor 0 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 (+ y (* x (- 1 y))) (taylor 0 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 0 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 0 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 0 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 0 x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (- 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<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 y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<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>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) (patch (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (+ x y) (* x y)) (+ (* (neg y) x) x) (neg y) (+ (* (- 1 y) x) y) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((- (+ x y) (* x y)) (+ (* (neg y) x) x) (neg y) (+ (* (- 1 y) x) y) (- 1 y)) |
| 0.0ms | y | @ | inf | ((- (+ x y) (* x y)) (+ (* (neg y) x) x) (neg y) (+ (* (- 1 y) x) y) (- 1 y)) |
| 0.0ms | y | @ | -inf | ((- (+ x y) (* x y)) (+ (* (neg y) x) x) (neg y) (+ (* (- 1 y) x) y) (- 1 y)) |
| 0.0ms | x | @ | inf | ((- (+ x y) (* x y)) (+ (* (neg y) x) x) (neg y) (+ (* (- 1 y) x) y) (- 1 y)) |
| 1× | egg-herbie |
| 21 368× | lower-fma.f64 |
| 21 368× | lower-fma.f32 |
| 3 344× | lower-*.f64 |
| 3 344× | lower-*.f32 |
| 2 524× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 491 |
| 1 | 192 | 466 |
| 2 | 478 | 466 |
| 3 | 1235 | 466 |
| 4 | 2573 | 466 |
| 5 | 3346 | 466 |
| 6 | 3770 | 466 |
| 7 | 4044 | 466 |
| 8 | 4185 | 466 |
| 9 | 4273 | 466 |
| 10 | 7868 | 466 |
| 0 | 8175 | 430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
(+ x (* y (+ 1 (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -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))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* 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 y) |
(* -1 y) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 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))) |
y |
(+ y (* x (- 1 y))) |
(+ y (* x (- 1 y))) |
(+ 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 y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ y x)) y)) |
(* x (- (+ 1 (/ 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))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- y 1))) |
(* x (- 1 y)) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
| 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 (* -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 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(+ x (* y (+ 1 (* -1 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -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) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* y (+ 1 (+ (* -1 x) (/ x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* 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 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 (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- x 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* y (- (+ x (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
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) |
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 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 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) |
(* -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) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| 11 580× | lower-fma.f32 |
| 11 576× | lower-fma.f64 |
| 5 766× | lower-*.f64 |
| 5 766× | lower-*.f32 |
| 3 794× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 0 | 17 | 35 |
| 1 | 94 | 35 |
| 2 | 732 | 35 |
| 0 | 8348 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 (neg.f64 y) x x) |
(neg.f64 y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
#s(approx (- 1 y) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.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))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x)))))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64))) |
(*.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)) |
(*.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x))) (*.f64 (fma.f64 (neg.f64 y) x x) (pow.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 y y y))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)) |
(*.f64 (fma.f64 (neg.f64 y) x x) (*.f64 (neg.f64 (fma.f64 y x x)) (pow.f64 (neg.f64 (fma.f64 y x x)) #s(literal -1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x)))) (*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (*.f64 y y) x)))))) |
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(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))))) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(fma.f64 x #s(approx (- 1 y) (neg.f64 y)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (neg.f64 y))))) |
(+.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) y) |
(+.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (- 1 y) (neg.f64 y)) |
Compiled 4 104 to 618 computations (84.9% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 0 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 298 | 7 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
| ✓ | 62.5% | (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
| ✓ | 77.1% | (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
| ✓ | 61.7% | #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
| ✓ | 25.2% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ✓ | 39.0% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 40.3% | #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Compiled 117 to 73 computations (37.6% 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) x y) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (-.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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
3 calls:
| 116.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 4.0ms | x |
| 4.0ms | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) x y) |
| Outputs |
|---|
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) |
(fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 99.8% | 3 | y |
| 98.9% | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
1 calls:
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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 |
|---|---|---|
| 98.9% | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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 |
|---|---|---|
| 80.5% | 2 | x |
| 99.0% | 3 | y |
| 94.0% | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 85.0% | 2 | 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)) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
| Outputs |
|---|
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 1 | x |
| 77.1% | 1 | y |
| 77.1% | 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:
| 2.0ms | x |
| 1.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | x |
| 70.2% | 2 | y |
| 76.4% | 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 | y |
| 1.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 1 | x |
| 40.3% | 1 | y |
| 40.3% | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.638324712211449e-221 | 4.5204801077745085e-284 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.638324712211449e-221 | 4.5204801077745085e-284 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.638324712211449e-221 | 4.5204801077745085e-284 |
Compiled 10 to 10 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 8.986813584327282e-10 | 1.5668379361896604e-8 |
| 10.0ms | -13224.639195736872 | -1.1345538117102561e-5 |
| 9.0ms | 256× | 0 | valid |
Compiled 186 to 218 computations (-17.2% saved)
ival-mult: 2.0ms (46.1% of total)ival-sub: 1.0ms (23% of total)ival-add: 1.0ms (23% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.094677174602833e+306 | +inf |
| 0.0ms | -inf | -1.7869313997146385e+308 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.638324712211449e-221 | 4.5204801077745085e-284 |
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 | 57 | 300 |
| 1 | 76 | 300 |
| 2 | 89 | 300 |
| 3 | 94 | 300 |
| 4 | 96 | 300 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
#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 -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 -13000 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 146393360968959/9444732965739290427392 binary64)) (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #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 -inf.0 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 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y) |
#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 -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x x)) (fma.f64 #s(approx (+ (* -1 y) 1) (neg.f64 y)) x y)) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 x y) (*.f64 x y)) #s(literal -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 y #s(literal -13000 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 146393360968959/9444732965739290427392 binary64)) (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #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 -inf.0 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 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))) |
(fma.f64 #s(approx (+ (* -1 y) 1) #s(literal 1 binary64)) x y) |
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528 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 |
| 12 658× | lower-fma.f32 |
| 12 652× | lower-fma.f64 |
| 5 450× | lower-*.f32 |
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 |
| 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 | 17 | 73 |
| 0 | 26 | 71 |
| 1 | 121 | 68 |
| 2 | 971 | 68 |
| 0 | 9163 | 68 |
| 0 | 84 | 1095 |
| 1 | 271 | 1064 |
| 2 | 669 | 1064 |
| 3 | 1637 | 1064 |
| 4 | 3040 | 1064 |
| 5 | 4209 | 1064 |
| 6 | 4760 | 1064 |
| 7 | 5140 | 1064 |
| 8 | 5335 | 1064 |
| 9 | 5425 | 1064 |
| 10 | 6206 | 1064 |
| 11 | 6378 | 1064 |
| 12 | 6608 | 1064 |
| 13 | 7352 | 1064 |
| 0 | 8032 | 974 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 356 to 209 computations (41.3% saved)
(sort x y)
Compiled 368 to 118 computations (67.9% saved)
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