
Time bar (total: 5.0s)
| 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 |
| 79.7% | 79.6% | 20.3% | 0.1% | 0% | 0% | 0% | 7 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 8 |
| 90.2% | 90.1% | 9.8% | 0.1% | 0% | 0% | 0% | 9 |
| 92% | 91.9% | 8% | 0.1% | 0% | 0% | 0% | 10 |
| 95.2% | 95.1% | 4.8% | 0.1% | 0% | 0% | 0% | 11 |
| 96% | 96% | 4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 774.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sub: 229.0ms (43.2% of total)ival-div: 195.0ms (36.8% of total)ival-add: 92.0ms (17.4% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.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 |
| 25.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-sub: 5.0ms (41.8% of total)ival-div: 3.0ms (25.1% of total)ival-add: 3.0ms (25.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 55 |
| 1 | 47 | 55 |
| 2 | 63 | 55 |
| 3 | 71 | 55 |
| 4 | 83 | 55 |
| 5 | 95 | 55 |
| 6 | 117 | 55 |
| 7 | 129 | 55 |
| 8 | 142 | 55 |
| 9 | 149 | 55 |
| 10 | 151 | 55 |
| 11 | 155 | 55 |
| 12 | 159 | 55 |
| 13 | 163 | 55 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 23 | 9 |
| 0 | 23 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 19 | 23 |
| 2 | 23 | 23 |
| 0 | 23 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 15.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-sub: 2.0ms (34.6% of total)ival-div: 2.0ms (34.6% of total)ival-add: 1.0ms (17.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 709 |
| 1 | 572 | 677 |
| 2 | 1927 | 594 |
| 0 | 8256 | 570 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
y |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (+.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal -2 binary64) x) y)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 53 | 20 |
| 2 | 404 | 20 |
| 3 | 6675 | 20 |
| 0 | 8155 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 16 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y))) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 3 binary64)) #s(literal 64 binary64))) (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (neg.f64 y))) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) y)) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (neg.f64 y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) y)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
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(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (neg.f64 x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (fabs.f64 x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #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 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 11 393 to 1 327 computations (88.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 362 | 9 | 371 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 362 | 10 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 87.1% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
| 63.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 50.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 58.9% | (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 50.2% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 39.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 37.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 253 to 181 computations (28.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) | |
| cost-diff | 3 | (fma.f64 (/.f64 x y) y y) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 148 |
| 0 | 42 | 151 |
| 1 | 61 | 151 |
| 2 | 76 | 146 |
| 3 | 100 | 136 |
| 4 | 156 | 136 |
| 5 | 392 | 136 |
| 6 | 2017 | 136 |
| 7 | 4304 | 136 |
| 8 | 5936 | 136 |
| 9 | 7307 | 136 |
| 0 | 8002 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (+.f64 y x)))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 x y) y y) |
(+.f64 y x) |
(/.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 31.847617579889075 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 40.10519159876354 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 31.52896541094374 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 40.34498119857386 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) | |
| accuracy | 7.970798143649685 | (fma.f64 (/.f64 x y) y y) |
| 53.0ms | 256× | 0 | valid |
Compiled 258 to 44 computations (82.9% saved)
ival-sub: 9.0ms (43.9% of total)ival-div: 5.0ms (24.4% of total)ival-add: 2.0ms (9.8% of total)ival-mult: 2.0ms (9.8% of total)ival-neg: 2.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 x y) y y) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(+.f64 x y) |
| Outputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y) (+ x y)) |
| 1.0ms | x | @ | inf | ((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y) (+ x y)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y) (+ x y)) |
| 1.0ms | y | @ | inf | ((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y) (+ x y)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ x y) y) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 814 |
| 1 | 735 | 779 |
| 2 | 2425 | 689 |
| 0 | 8506 | 659 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 y x) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) x) #s(literal -4 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)) x) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) x) #s(literal -4 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) x x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (+.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) x)) y)) #s(literal 2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 131 |
| 0 | 42 | 131 |
| 1 | 131 | 131 |
| 2 | 852 | 131 |
| 0 | 8173 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x y) y y) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y (*.f64 (/.f64 (neg.f64 x) y) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 x y) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (*.f64 (-.f64 (*.f64 (/.f64 x y) y) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (/.f64 x y) y) y) (-.f64 (*.f64 (/.f64 x y) y) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 x y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 x y) y) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 x y) y) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 (/.f64 x y) y) y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 (/.f64 x y) y) y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 x y) y (*.f64 y #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (/.f64 x y) y)) |
(fma.f64 y (/.f64 x y) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 x (/.f64 y y) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 x (/.f64 y y) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 x y) y))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 x y) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 x y) y) y))) |
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y)) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) y)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (/.f64 x y) y) y))) |
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x y) y) y) |
(+.f64 y (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x y))) |
(+.f64 y (*.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))))) (neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (*.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) y))) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 8 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (neg.f64 y))) (pow.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) y)) (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) (*.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (neg.f64 y))) (*.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y))))) |
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#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
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(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
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(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
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#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fabs.f64 x) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) y (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) x (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) y)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x))) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) y) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) x)) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) x) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 17 165 to 1 678 computations (90.2% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 3 | 436 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 434 | 12 | 446 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.1% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
| ▶ | 63.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 50.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 50.2% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 16.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| ▶ | 15.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ▶ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 39.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 285 to 205 computations (28.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 148 |
| 0 | 37 | 148 |
| 1 | 53 | 148 |
| 2 | 67 | 148 |
| 3 | 90 | 148 |
| 4 | 129 | 148 |
| 5 | 180 | 148 |
| 6 | 244 | 148 |
| 7 | 332 | 148 |
| 8 | 361 | 148 |
| 9 | 374 | 148 |
| 10 | 386 | 148 |
| 11 | 400 | 148 |
| 12 | 414 | 148 |
| 13 | 420 | 148 |
| 14 | 424 | 148 |
| 15 | 431 | 148 |
| 16 | 432 | 148 |
| 0 | 432 | 148 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
y |
(+.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
y |
(+.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 31.89730635547544 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 31.52896541094374 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 31.829445972134415 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 31.52896541094374 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 31.64904192277681 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 38.757949110626434 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 23.47914333632682 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
| 71.0ms | 256× | 0 | valid |
Compiled 250 to 51 computations (79.6% saved)
ival-div: 15.0ms (51.3% of total)ival-sub: 6.0ms (20.5% of total)ival-add: 4.0ms (13.7% of total)ival-mult: 4.0ms (13.7% of total)exact: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 906 |
| 1 | 819 | 872 |
| 2 | 2641 | 781 |
| 0 | 8410 | 753 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)) x) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y) |
-2 |
#s(literal -2 binary64) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (+.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) y) (-.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) #s(literal -1 binary64) #s(literal -2 binary64)) y)) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 137 |
| 0 | 37 | 137 |
| 1 | 135 | 137 |
| 2 | 837 | 137 |
| 0 | 8476 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) (neg.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fabs.f64 x) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 x y) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (*.f64 y (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 y (-.f64 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 y (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 y) (+.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(neg.f64 (/.f64 y (+.f64 (neg.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))))) |
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (-.f64 y #s(literal -2 binary64))) (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) (+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) (-.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64))) (neg.f64 (-.f64 y #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (*.f64 (-.f64 #s(literal -2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal -2 binary64) y))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 y #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) y)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(neg.f64 (+.f64 (neg.f64 y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 y #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y))) |
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y)))) (/.f64 #s(literal -8 binary64) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal -2 binary64) y))) |
(+.f64 #s(literal -2 binary64) y) |
(+.f64 y #s(literal -2 binary64)) |
Compiled 9 189 to 1 229 computations (86.6% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 3 | 272 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 269 | 15 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.1% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
| ✓ | 63.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 25.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 50.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 50.2% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 12.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
| ▶ | 13.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ▶ | 16.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 39.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 237 to 172 computations (27.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 188 |
| 0 | 46 | 188 |
| 1 | 65 | 188 |
| 2 | 96 | 188 |
| 3 | 192 | 188 |
| 4 | 420 | 188 |
| 5 | 693 | 188 |
| 6 | 1091 | 188 |
| 7 | 1738 | 188 |
| 8 | 1899 | 188 |
| 9 | 2000 | 188 |
| 10 | 2032 | 188 |
| 11 | 2066 | 188 |
| 12 | 2080 | 188 |
| 13 | 2098 | 188 |
| 14 | 2112 | 188 |
| 15 | 2128 | 188 |
| 16 | 2134 | 188 |
| 0 | 2134 | 188 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) y) |
#s(literal -1/4 binary64) |
y |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
#s(literal 1/8 binary64) |
x |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/4 binary64) y) |
#s(literal -1/4 binary64) |
y |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 23.47914333632682 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 32.13702943009775 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/4 binary64) y) | |
| accuracy | 31.89730635547544 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) | |
| accuracy | 32.63232866679375 | #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 31.89730635547544 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 32.14219263731506 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| accuracy | 31.195295792976406 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 31.52896541094374 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| 37.0ms | 256× | 0 | valid |
Compiled 307 to 65 computations (78.8% saved)
ival-mult: 8.0ms (33% of total)ival-sub: 6.0ms (24.7% of total)ival-div: 5.0ms (20.6% of total)ival-add: 4.0ms (16.5% of total)exact: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
1/4 |
(+ 1/4 (* 1/8 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/4 y) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (+ (* 1/8 x) 1/4) (* -1/4 y)) |
| 3.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (+ (* 1/8 x) 1/4) (* -1/4 y)) |
| 2.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (+ (* 1/8 x) 1/4) (* -1/4 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (+ (* 1/8 x) 1/4) (* -1/4 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* 1/8 x) 1/4) x) 1/2) x) (+ (* (+ (* 1/8 x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (- (* -1/4 y) 1/2) y) (- (* -1/4 y) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (+ (* 1/8 x) 1/4) (* -1/4 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 984 |
| 1 | 904 | 948 |
| 2 | 3003 | 867 |
| 0 | 8478 | 832 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
1/4 |
(+ 1/4 (* 1/8 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/4 y) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 1/8 x)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(-.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(* 1/8 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) |
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) |
(* (pow x 2) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x))))) |
(*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) x #s(literal 1/4 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(* x (+ 1/8 (* 1/4 (/ 1 x)))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) (neg.f64 x)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) x) #s(literal 1/8 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (/.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 y) 1/2) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* -1/4 y) |
(*.f64 #s(literal -1/4 binary64) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (+.f64 #s(literal -2 binary64) x)))) (/.f64 (+.f64 #s(literal -2 binary64) x) y)) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) y)) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y) #s(literal -1 binary64) #s(literal -2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 176 |
| 0 | 46 | 176 |
| 1 | 169 | 176 |
| 2 | 1097 | 176 |
| 0 | 8308 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) x)) |
(-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) x)) |
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) x))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))))))) |
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#s(approx (- 2 y) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) (*.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) |
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) x)) |
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/32 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/32 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 y #s(literal -1/4 binary64)) |
Compiled 10 791 to 1 369 computations (87.3% saved)
15 alts after pruning (1 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 263 | 1 | 264 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 11 | 11 |
| Total | 264 | 15 | 279 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.1% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
| ✓ | 63.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 25.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 50.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 50.2% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 12.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| ✓ | 13.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 16.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 39.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 512 to 251 computations (51% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 76.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 3 | x |
| 78.0% | 3 | y |
| 98.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 17.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1/2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 3 | x |
| 86.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 3 | y |
| 74.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 3.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | x |
| 37.0% | 1 | y |
| 37.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.995559538647756e-8 | -1.908576769287549e-19 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034900069757382e-6 | 0.0029483297618668755 |
| 0.0ms | -5.995559538647756e-8 | -1.908576769287549e-19 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034900069757382e-6 | 0.0029483297618668755 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034900069757382e-6 | 0.0029483297618668755 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034900069757382e-6 | 0.0029483297618668755 |
| 0.0ms | -0.9999999999906973 | -0.0003133107770687571 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034900069757382e-6 | 0.0029483297618668755 |
| 0.0ms | -0.9999999999906973 | -0.0003133107770687571 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -2.116354678226912e-302 | 2.705439334600706e-241 |
| 3.0ms | 192× | 0 | valid |
Compiled 276 to 252 computations (8.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 376 |
| 1 | 73 | 376 |
| 2 | 84 | 376 |
| 3 | 88 | 376 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 814 |
| 1 | 735 | 779 |
| 2 | 2425 | 689 |
| 0 | 8506 | 659 |
| 0 | 265 | 906 |
| 1 | 819 | 872 |
| 2 | 2641 | 781 |
| 0 | 8410 | 753 |
| 0 | 186 | 709 |
| 1 | 572 | 677 |
| 2 | 1927 | 594 |
| 0 | 8256 | 570 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 449 to 148 computations (67% saved)
Compiled 800 to 148 computations (81.5% saved)
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