
Time bar (total: 3.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 357.0ms | 8 256× | 0 | valid |
ival-div: 95.0ms (57.3% of total)ival-add: 61.0ms (36.8% of total)ival-true: 6.0ms (3.6% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (+.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 |
| 57.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-div: 4.0ms (54.8% of total)ival-add: 3.0ms (41.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 134× | times-frac |
| 80× | associate-*l* |
| 70× | unsub-neg |
| 70× | associate-/r* |
| 58× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 35 | 25 |
| 2 | 72 | 25 |
| 3 | 145 | 25 |
| 4 | 324 | 25 |
| 5 | 504 | 25 |
| 6 | 628 | 25 |
| 7 | 648 | 25 |
| 8 | 675 | 25 |
| 9 | 687 | 25 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 7 | 5 |
| 0 | 7 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 x y)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| 4× | lower-+.f32 |
| 2× | lift-+.f64 |
| 2× | lift-/.f64 |
| 2× | lower-+.f64 |
| 2× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 7 | 10 |
| 0 | 7 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0234375 | (/.f64 x (+.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (57.3% of total)ival-add: 1.0ms (28.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.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 inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.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 (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.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 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | x | @ | inf | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | y | @ | -inf | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ x (+ x y)) (+ x y)) |
| 0.0ms | x | @ | -inf | ((/ x (+ x y)) (+ x y)) |
| 1× | egg-herbie |
| 10 194× | lower-fma.f64 |
| 10 194× | lower-fma.f32 |
| 3 612× | lower-*.f64 |
| 3 612× | lower-*.f32 |
| 2 202× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 360 |
| 1 | 369 | 342 |
| 2 | 945 | 318 |
| 3 | 3728 | 316 |
| 0 | 8239 | 303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
| 5 260× | lower-/.f32 |
| 5 258× | lower-/.f64 |
| 4 086× | lower-fma.f64 |
| 4 086× | lower-fma.f32 |
| 3 762× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 189 | 8 |
| 3 | 1838 | 8 |
| 0 | 8647 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (hypot.f64 y x) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) (pow.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y)) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y))) |
(*.f64 (-.f64 x y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y x) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))) (*.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y))) (*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) (-.f64 (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x))) (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y))) (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 y x) y)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (hypot.f64 y x) (*.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x)))) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64))))) (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (+.f64 y x)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (hypot.f64 y x) (*.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (neg.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 (neg.f64 x) y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 (-.f64 (neg.f64 x) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 (-.f64 (neg.f64 x) y) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x))) |
(/.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x)) (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (hypot.f64 y x) (*.f64 y x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x))) |
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y 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 (neg.f64 (*.f64 x x)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) 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 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) y) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.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 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.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 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.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)) (*.f64 (-.f64 x y) (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (hypot.f64 y x)))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (-.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (-.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.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)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) |
(-.f64 x (/.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) x) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
Compiled 8 028 to 1 061 computations (86.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 6 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 7 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ▶ | 56.7% | (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| 52.5% | #s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))) | |
| ▶ | 48.1% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ▶ | 52.0% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ▶ | 52.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 93 to 76 computations (18.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 1408 | (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| 7 220× | lower-fma.f64 |
| 7 220× | lower-fma.f32 |
| 3 350× | lower-*.f32 |
| 3 344× | lower-*.f64 |
| 1 948× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 102 |
| 0 | 31 | 97 |
| 1 | 50 | 95 |
| 2 | 120 | 91 |
| 3 | 286 | 91 |
| 4 | 1169 | 91 |
| 5 | 5513 | 91 |
| 0 | 8159 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(neg.f64 x) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) |
x |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 x (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal -1 binary64) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 x) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) |
x |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
(-.f64 y x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| accuracy | 6.48777146723501 | (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) | |
| accuracy | 20.424620949337722 | (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 30.699828347558135 | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 33.18919302625393 | #s(approx (/ x (+ x y)) (/.f64 x y)) | |
| accuracy | 30.745975979527202 | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.015625 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| 67.0ms | 256× | 0 | valid |
Compiled 92 to 19 computations (79.3% saved)
ival-div: 20.0ms (59.1% of total)ival-add: 5.0ms (14.8% of total)ival-mult: 5.0ms (14.8% of total)ival-sub: 2.0ms (5.9% of total)ival-neg: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
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#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ()) |
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#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (* (/ x (* (+ y x) (- y x))) (- y x)) (* (+ y x) (- y x)) (- y x) (/ x (* (+ y x) (- y x)))) |
| 2.0ms | y | @ | -inf | ((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (* (/ x (* (+ y x) (- y x))) (- y x)) (* (+ y x) (- y x)) (- y x) (/ x (* (+ y x) (- y x)))) |
| 2.0ms | y | @ | inf | ((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (* (/ x (* (+ y x) (- y x))) (- y x)) (* (+ y x) (- y x)) (- y x) (/ x (* (+ y x) (- y x)))) |
| 2.0ms | x | @ | inf | ((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (* (/ x (* (+ y x) (- y x))) (- y x)) (* (+ y x) (- y x)) (- y x) (/ x (* (+ y x) (- y x)))) |
| 2.0ms | y | @ | 0 | ((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ x y)) (/ x (+ x y)) (/ x y) (/ x (+ x y)) (- 1 (/ y x)) (/ y x) (* (/ x (* (+ y x) (- y x))) (- y x)) (* (+ y x) (- y x)) (- y x) (/ x (* (+ y x) (- y x)))) |
| 1× | egg-herbie |
| 8 690× | lower-fma.f64 |
| 8 690× | lower-fma.f32 |
| 3 758× | lower-*.f64 |
| 3 758× | lower-*.f32 |
| 3 532× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 2949 |
| 1 | 1200 | 2596 |
| 2 | 4066 | 2468 |
| 0 | 8648 | 2353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ -1 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(/ -1 x) |
(- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ -1 y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(* -1 (/ y x)) |
(* y (- (/ 1 y) (/ 1 x))) |
(* y (- (/ 1 y) (/ 1 x))) |
(* y (- (/ 1 y) (/ 1 x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (* x (+ x (* -1 x))) y)))) (pow y 2)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ (- x y) x) |
(/ (- x y) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(/ x (pow y 2)) |
(* x (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))) |
(* x (+ (* (pow x 2) (+ (/ 1 (pow y 4)) (/ (pow x 2) (pow y 6)))) (/ 1 (pow y 2)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 6)) (/ (pow x 2) (pow y 8)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(/ -1 x) |
(/ (- (* -1 (/ (+ y (* -1 y)) x)) 1) x) |
(/ (- (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) x) |
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))) x) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 y x) x) x)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x) |
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)) |
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (/ 1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (- (/ 1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (- (/ 1 y) (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (* x (+ x (* -1 x))) y)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x)) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x)) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x) |
| 4 078× | lower-/.f32 |
| 4 070× | lower-/.f64 |
| 3 814× | lower-*.f32 |
| 3 808× | lower-*.f64 |
| 3 066× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 0 | 31 | 83 |
| 1 | 118 | 77 |
| 2 | 981 | 77 |
| 0 | 9018 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 x) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(-.f64 y x) |
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (/.f64 x (-.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (-.f64 y x) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (-.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (+.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 y x)) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 y x)) (/.f64 (-.f64 y x) (-.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (neg.f64 y) x)) (/.f64 (neg.f64 x) (-.f64 y x))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (/.f64 x (+.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 y x)) (/.f64 (-.f64 x y) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y)) (/.f64 (-.f64 x y) (/.f64 (-.f64 y x) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 y x)) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 y x)) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 x y)) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (-.f64 y x) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 x y)) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) (/.f64 (-.f64 y x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (/.f64 (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) x))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 x (*.f64 (/.f64 (+.f64 x y) (+.f64 (hypot.f64 y x) (*.f64 x y))) #s(literal 1 binary64))) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 x y) (*.f64 x y))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) x) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (/.f64 (*.f64 y y) x) x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 y y) x) x)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (/.f64 x (+.f64 x y))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (/.f64 x (+.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y)) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 (hypot.f64 y x) (*.f64 x y))))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (hypot.f64 y x) (*.f64 x y))))) |
(*.f64 (*.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y)))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (hypot.f64 y x) (*.f64 x y))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 x (+.f64 x y))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(*.f64 (*.f64 (-.f64 y x) x) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 x (-.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 y y) x) x) (+.f64 x y)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 (/.f64 (*.f64 y y) x) x)))) |
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(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (*.f64 (-.f64 y x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 x (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 x (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 x (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (-.f64 y x) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (-.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 x (-.f64 y x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (neg.f64 x) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (neg.f64 x) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (neg.f64 x) (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 y x))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y)))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 y x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (neg.f64 y) x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 x y))) |
(*.f64 (/.f64 x (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 y x))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (neg.f64 x) (-.f64 y x))) |
(*.f64 x (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))) |
(pow.f64 (-.f64 (/.f64 (*.f64 y y) x) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 y x))) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))) |
(/.f64 (/.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) |
(/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 x (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) x)) |
(/.f64 (/.f64 x (+.f64 x y)) (-.f64 y x)) |
(/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 y y) x) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))) |
(neg.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))) |
(neg.f64 (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x))) |
(neg.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 y y) x) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))) |
Compiled 33 259 to 3 365 computations (89.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 559 | 1 | 1 560 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 560 | 7 | 1 567 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | 56.7% | (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ▶ | 52.5% | #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
| ✓ | 48.1% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ✓ | 52.0% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 52.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 49 to 40 computations (18.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 y x) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 y x) x) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
| 5 248× | lower-*.f64 |
| 5 248× | lower-*.f32 |
| 5 180× | lower-fma.f32 |
| 5 178× | lower-fma.f64 |
| 1 294× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 15 | 44 |
| 1 | 29 | 44 |
| 2 | 53 | 44 |
| 3 | 82 | 44 |
| 4 | 145 | 44 |
| 5 | 351 | 44 |
| 6 | 709 | 44 |
| 7 | 1686 | 44 |
| 8 | 2818 | 44 |
| 9 | 4238 | 44 |
| 10 | 5194 | 44 |
| 11 | 5835 | 44 |
| 12 | 6323 | 44 |
| 13 | 6624 | 44 |
| 14 | 7691 | 44 |
| 0 | 8261 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/.f64 (-.f64 y x) x) |
(-.f64 y x) |
y |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/.f64 (-.f64 y x) x) |
(-.f64 y x) |
y |
x |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (/.f64 (-.f64 y x) x) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 (-.f64 y x) x) x) | |
| accuracy | 1.897118475741169 | (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) | |
| accuracy | 30.369885105571594 | #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
| 35.0ms | 256× | 0 | valid |
Compiled 36 to 12 computations (66.7% saved)
ival-div: 8.0ms (55.7% of total)ival-add: 3.0ms (20.9% of total)ival-mult: 2.0ms (13.9% of total)ival-sub: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y (pow x 2)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y (pow x 2)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y (pow x 2)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow y 2) (pow x 2)) (taylor inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) (taylor inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow y 2) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) (taylor -inf y) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) (/ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) (/ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) (/ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow y 2) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (/ y x) 1) x) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (/ y x) 1) x) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (- (/ y x) 1) x) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ x (+ x y)) (+ (* (/ (/ (- y x) x) x) y) 1) (/ (/ (- y x) x) x) (/ (- y x) x)) |
| 1.0ms | y | @ | inf | ((/ x (+ x y)) (+ (* (/ (/ (- y x) x) x) y) 1) (/ (/ (- y x) x) x) (/ (- y x) x)) |
| 1.0ms | y | @ | 0 | ((/ x (+ x y)) (+ (* (/ (/ (- y x) x) x) y) 1) (/ (/ (- y x) x) x) (/ (- y x) x)) |
| 1.0ms | x | @ | -inf | ((/ x (+ x y)) (+ (* (/ (/ (- y x) x) x) y) 1) (/ (/ (- y x) x) x) (/ (- y x) x)) |
| 1.0ms | x | @ | 0 | ((/ x (+ x y)) (+ (* (/ (/ (- y x) x) x) y) 1) (/ (/ (- y x) x) x) (/ (- y x) x)) |
| 1× | egg-herbie |
| 12 300× | lower-fma.f64 |
| 12 300× | lower-fma.f32 |
| 3 146× | lower-*.f64 |
| 3 146× | lower-*.f32 |
| 2 068× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 833 |
| 1 | 437 | 745 |
| 2 | 1138 | 712 |
| 3 | 4244 | 710 |
| 0 | 8249 | 683 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(/ -1 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (/ y (pow x 2)) (/ 1 x)) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ (pow y 2) (pow x 2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) |
(/ y (pow x 2)) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(/ y x) |
(* y (- (/ 1 x) (/ 1 y))) |
(* y (- (/ 1 x) (/ 1 y))) |
(* y (- (/ 1 x) (/ 1 y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/ (pow y 2) (pow x 2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) |
(/ y (pow x 2)) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(/ y x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2)) |
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) |
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/ y x) |
(/ (+ y (* -1 x)) x) |
(/ (+ y (* -1 x)) x) |
(/ (+ y (* -1 x)) x) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (/ y x) 1) x) |
(/ (- (/ y x) 1) x) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
-1 |
(- (/ y x) 1) |
(- (/ y x) 1) |
(- (/ y x) 1) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) y) |
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) |
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ y x) |
(/.f64 y x) |
(* y (- (/ 1 x) (/ 1 y))) |
(/.f64 (-.f64 y x) x) |
(* y (- (/ 1 x) (/ 1 y))) |
(/.f64 (-.f64 y x) x) |
(* y (- (/ 1 x) (/ 1 y))) |
(/.f64 (-.f64 y x) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) y) |
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ y x) |
(/.f64 y x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(/.f64 (-.f64 y x) x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(/.f64 (-.f64 y x) x) |
(* -1 (* y (- (/ 1 y) (/ 1 x)))) |
(/.f64 (-.f64 y x) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) y) |
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) |
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) x (hypot.f64 x y)) (*.f64 x x)) |
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) x (hypot.f64 x y)) (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ (+ y (* -1 x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
(/ (+ y (* -1 x)) x) |
(/.f64 (-.f64 y x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
(- (/ y x) 1) |
(/.f64 (-.f64 y x) x) |
| 4 324× | lower-fma.f32 |
| 4 322× | lower-fma.f64 |
| 3 988× | lower-*.f64 |
| 3 988× | lower-*.f32 |
| 3 522× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 0 | 15 | 38 |
| 1 | 78 | 38 |
| 2 | 608 | 38 |
| 3 | 7016 | 38 |
| 0 | 8396 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 y x) x) x) |
(/.f64 (-.f64 y x) x) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (hypot.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 x y) x) (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 y x) (/.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (neg.f64 (fma.f64 y x (hypot.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 x) (fma.f64 y x (hypot.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 (fma.f64 y x (hypot.f64 y x)) x))) |
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (-.f64 x y))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (+.f64 y x) x)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 x (-.f64 (neg.f64 x) y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (neg.f64 x) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (*.f64 (+.f64 y x) x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 (hypot.f64 y x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 y x (hypot.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) x)) |
(/.f64 (-.f64 x y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (hypot.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y x))) |
(/.f64 (-.f64 y x) x) |
(neg.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (-.f64 x y) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x) (/.f64 y x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)) (/.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64)) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) x))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) x))) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) x) (/.f64 (*.f64 x (/.f64 x (+.f64 y x))) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 x y) x)) |
(-.f64 (/.f64 (*.f64 y x) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 y x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 y x)) |
(+.f64 #s(literal -1 binary64) (/.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 y x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(+.f64 (/.f64 y x) #s(literal -1 binary64)) |
Compiled 9 040 to 1 557 computations (82.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 0 | 438 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 438 | 7 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | 56.7% | (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
| ✓ | 52.5% | #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
| ✓ | 48.1% | #s(approx (/ x (+ x y)) (/.f64 x y)) |
| ✓ | 52.0% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 52.0% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 109 to 67 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 x (+.f64 x y)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | x |
| 79.8% | 3 | y |
| 97.7% | 2 | (/.f64 x (+.f64 x y)) |
Compiled 7 to 8 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 5.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (/.f64 x (+.f64 x y)) |
Compiled 5 to 4 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | x |
| 52.0% | 1 | y |
| 52.0% | 1 | (/.f64 x (+.f64 x y)) |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004298211956260185 | 0.9280302864939775 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004298211956260185 | 0.9280302864939775 |
Compiled 8 to 9 computations (-12.5% saved)
| 1× | egg-herbie |
| 10× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | *-commutative-binary64-*.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 | 17 | 64 |
| 1 | 23 | 64 |
| 2 | 31 | 64 |
| 3 | 37 | 64 |
| 4 | 42 | 64 |
| 5 | 44 | 64 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| 10 194× | lower-fma.f64 |
| 10 194× | lower-fma.f32 |
| 3 612× | lower-*.f64 |
| 3 612× | lower-*.f32 |
| 2 202× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 360 |
| 1 | 369 | 342 |
| 2 | 945 | 318 |
| 3 | 3728 | 316 |
| 0 | 8239 | 303 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 52 to 32 computations (38.5% saved)
Compiled 88 to 38 computations (56.8% saved)
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