
Time bar (total: 5.6s)
| 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)
| 611.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 174.0ms (49.3% of total)ival-sub: 121.0ms (34.3% of total)ival-add: 42.0ms (11.9% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)adjust: 2.0ms (0.6% 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 59 to 25 computations (57.6% saved)
ival-sub: 5.0ms (42.4% of total)ival-div: 3.0ms (25.4% of total)ival-add: 3.0ms (25.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.01953125 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 15.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sub: 2.0ms (35% of total)ival-div: 2.0ms (35% of total)ival-add: 1.0ms (17.5% of total)ival-true: 0.0ms (0% of total)adjust: 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)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 11 | 371 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 360 | 12 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 87.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) | |
| 62.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 37.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 52.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 100.0% | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| 52.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 48.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 38.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) | |
| 37.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) | |
| 37.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 37.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 329 to 241 computations (26.7% 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 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) | |
| cost-diff | 6 | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 135 |
| 0 | 41 | 129 |
| 1 | 55 | 129 |
| 2 | 57 | 129 |
| 0 | 57 | 129 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 y x) |
y |
(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#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 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) x) y)) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
#s(literal 2 binary64) |
(+.f64 y x) |
y |
(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 2 binary64) x) y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
#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 | 0.01953125 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 30.57735618638851 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 39.74691354564402 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 32.8636681399276 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 39.8557788323865 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) | |
| accuracy | 0.0234375 | (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
| 40.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 117 to 19 computations (83.8% saved)
ival-div: 13.0ms (53.8% of total)ival-sub: 5.0ms (20.7% of total)ival-add: 3.0ms (12.4% of total)ival-neg: 2.0ms (8.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 y x) |
#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))) |
(-.f64 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) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))) (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))) (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y))))) (/ y (- 2 y))) |
(/ x (- 2 y)) |
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))) |
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x 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))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 y) |
(- x y) |
(* -1 x) |
(/ y (- 2 y)) |
(+ (/ y (- 2 y)) (/ (* x y) (pow (- 2 y) 2))) |
(+ (* x (- (/ (* x y) (pow (- 2 y) 3)) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y))) |
(+ (* x (- (* x (- (/ (* x y) (pow (- 2 y) 4)) (* -1 (/ y (pow (- 2 y) 3))))) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y))) |
-1 |
(- (/ y x) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) |
(- (+ (/ y x) (/ (* y (- 2 y)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))) |
(- (+ (/ y x) (+ (/ (* y (- 2 y)) (pow x 2)) (/ (* y (pow (- 2 y) 2)) (pow x 3)))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (* 2 (/ 1 x))))))) |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(- (* 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)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 2)) (pow x 2)))) (/ (* y (- 2 y)) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 3)) (pow x 3)))) (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x) |
(- (* -1 (/ (- 2 (* 2 y)) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* y (- 2 y)) (* (- 2 y) (- y 2))) x))) (* 2 y)) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) x)) (+ (* y (- 2 y)) (* (- 2 y) (- y 2)))) x))) (* 2 y)) x)) 1) |
(- (* -1 (/ (- 2 y) x)) 1) |
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (+ y (/ (* y (- 2 y)) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (- 2 y) 2)) x)) (* y (- 2 y))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- 2 y) 3)) x) (* -1 (* y (pow (- 2 y) 2)))) x)) (* y (- 2 y))) x))) 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 (- 2 x)) (/ (* x y) (pow (- 2 x) 2))) |
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ x (* -1 y)) |
(/ y (- 2 x)) |
(* y (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))) |
(* y (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) (+ (/ x y) (/ (* x (- 2 x)) (pow y 2)))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (* 2 (/ 1 y)))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* x (pow (- 2 x) 2)) (pow y 3))))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(- (+ 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)) |
(- (/ x y) (+ 1 (* 2 (/ 1 y)))) |
(- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) |
(- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (+ (/ (* x (- 2 x)) y) (/ (* (- 2 x) (- x 2)) y))) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y))) (+ (* x (- 2 x)) (* (- 2 x) (- x 2)))) y)) (* 2 x)) 2) y))) |
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 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 (/ (- 2 x) y)) 1) |
(- (* -1 (/ (- (/ (pow (- 2 x) 2) y) (* -1 (- 2 x))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 x) 3) y)) (pow (- 2 x) 2)) y)) (* -1 (- 2 x))) y)) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (/ x (- 2 (+ y x))) (/ y (- 2 (+ y x)))) (/ x (- 2 (+ y x))) (- 2 (+ y x)) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ y (- 2 (+ y x))) (+ x y)) |
| 2.0ms | y | @ | -inf | ((- (/ x (- 2 (+ y x))) (/ y (- 2 (+ y x)))) (/ x (- 2 (+ y x))) (- 2 (+ y x)) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ y (- 2 (+ y x))) (+ x y)) |
| 2.0ms | x | @ | inf | ((- (/ x (- 2 (+ y x))) (/ y (- 2 (+ y x)))) (/ x (- 2 (+ y x))) (- 2 (+ y x)) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ y (- 2 (+ y x))) (+ x y)) |
| 2.0ms | y | @ | inf | ((- (/ x (- 2 (+ y x))) (/ y (- 2 (+ y x)))) (/ x (- 2 (+ y x))) (- 2 (+ y x)) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ y (- 2 (+ y x))) (+ x y)) |
| 2.0ms | x | @ | -inf | ((- (/ x (- 2 (+ y x))) (/ y (- 2 (+ y x)))) (/ x (- 2 (+ y x))) (- 2 (+ y x)) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ y (- 2 (+ y x))) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 2187 |
| 1 | 1724 | 2026 |
| 2 | 6153 | 1948 |
| 0 | 8206 | 1878 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))) (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))) (/ y (- 2 y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y))))) (/ y (- 2 y))) |
(/ x (- 2 y)) |
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))) |
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x 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))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 y) |
(- x y) |
(* -1 x) |
(/ y (- 2 y)) |
(+ (/ y (- 2 y)) (/ (* x y) (pow (- 2 y) 2))) |
(+ (* x (- (/ (* x y) (pow (- 2 y) 3)) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y))) |
(+ (* x (- (* x (- (/ (* x y) (pow (- 2 y) 4)) (* -1 (/ y (pow (- 2 y) 3))))) (* -1 (/ y (pow (- 2 y) 2))))) (/ y (- 2 y))) |
-1 |
(- (/ y x) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ 1 x))))) |
(- (+ (/ y x) (/ (* y (- 2 y)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))) |
(- (+ (/ y x) (+ (/ (* y (- 2 y)) (pow x 2)) (/ (* y (pow (- 2 y) 2)) (pow x 3)))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (* 2 (/ 1 x))))))) |
(- (/ y x) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(- (* 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)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 2)) (pow x 2)))) (/ (* y (- 2 y)) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (- 2 y) 3)) (pow x 3)))) (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x) |
(- (* -1 (/ (- 2 (* 2 y)) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* y (- 2 y)) (* (- 2 y) (- y 2))) x))) (* 2 y)) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) x)) (+ (* y (- 2 y)) (* (- 2 y) (- y 2)))) x))) (* 2 y)) x)) 1) |
(- (* -1 (/ (- 2 y) x)) 1) |
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (+ y (/ (* y (- 2 y)) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (- 2 y) 2)) x)) (* y (- 2 y))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- 2 y) 3)) x) (* -1 (* y (pow (- 2 y) 2)))) x)) (* y (- 2 y))) x))) 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 (- 2 x)) (/ (* x y) (pow (- 2 x) 2))) |
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ x (* -1 y)) |
(/ y (- 2 x)) |
(* y (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))) |
(* y (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) (+ (/ x y) (/ (* x (- 2 x)) (pow y 2)))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (* 2 (/ 1 y)))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* x (pow (- 2 x) 2)) (pow y 3))))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(- (+ 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)) |
(- (/ x y) (+ 1 (* 2 (/ 1 y)))) |
(- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) |
(- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (+ (/ (* x (- 2 x)) y) (/ (* (- 2 x) (- x 2)) y))) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y))) (+ (* x (- 2 x)) (* (- 2 x) (- x 2)))) y)) (* 2 x)) 2) y))) |
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 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 (/ (- 2 x) y)) 1) |
(- (* -1 (/ (- (/ (pow (- 2 x) 2) y) (* -1 (- 2 x))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 x) 3) y)) (pow (- 2 x) 2)) y)) (* -1 (- 2 x))) y)) 1) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))) (/ y (- 2 y))) |
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y)) x) (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(- (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))) (/ y (- 2 y))) |
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(*.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) y) |
(* y (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (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)))) y (/.f64 (+.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) (+ (/ x y) (/ (* x (- 2 x)) (pow y 2)))) |
(+.f64 (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 2 binary64))) y)) y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) x x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (* 2 (/ 1 y)))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* x (pow (- 2 x) 2)) (pow y 3))))) |
(-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x)) y) x) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) x x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 x (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x)) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 3 binary64)) x x)) (*.f64 x (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x)) y))) 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 (/ 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))) |
(+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (-.f64 #s(literal 2 binary64) x)) y) y) (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) x (-.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64)) |
(- (+ 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 (fma.f64 #s(literal -1 binary64) x (-.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 2 binary64) x))) y)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (/ x y) (+ 1 (* 2 (/ 1 y)))) |
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
(- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 2 binary64))) y) #s(literal 2 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) (+ (/ (* x (- 2 x)) y) (/ (* (- 2 x) (- 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 (/ (* x (pow (- 2 x) 2)) y)) (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y))) (+ (* x (- 2 x)) (* (- 2 x) (- x 2)))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 y)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y)) |
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) x x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) x (*.f64 (neg.f64 x) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y))) y)) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) x (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) x) y)) (neg.f64 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)) |
(+ 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)) (neg.f64 (-.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 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(- (* -1 (/ (- 2 x) y)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (/ (pow (- 2 x) 2) y) (* -1 (- 2 x))) y)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 x) 3) y)) (pow (- 2 x) 2)) y)) (* -1 (- 2 x))) y)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 y)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 124 |
| 0 | 41 | 118 |
| 1 | 148 | 118 |
| 2 | 964 | 118 |
| 0 | 8403 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 y x) |
#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))) |
(-.f64 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) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) |
(*.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 (-.f64 #s(literal 2 binary64) 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 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x)))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 (-.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 y x)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal 2 binary64)))))) |
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) y) x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(+.f64 #s(literal 2 binary64) (neg.f64 (+.f64 y x))) |
(*.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))) |
(*.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (neg.f64 y) (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x))) |
(/.f64 y (-.f64 (-.f64 #s(literal 2 binary64) y) x)) |
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) x)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 x y) (-.f64 y 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) (/.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 y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x 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)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (-.f64 (*.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 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.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 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.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 x x) (-.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))) (-.f64 (*.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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (neg.f64 (-.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))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (fma.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)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y 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))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (fabs.f64 x) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (-.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 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 y (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (neg.f64 x) (-.f64 y 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 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 x y))) |
(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 y (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 x (-.f64 y 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 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 x y))) |
(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 y (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 16 841 to 1 831 computations (89.1% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 3 | 462 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 460 | 14 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 87.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
| ▶ | 62.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 52.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 100.0% | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| 52.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ✓ | 48.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 38.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
| 37.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y))) | |
| ▶ | 12.4% | #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))) |
| 12.8% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 37.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 348 to 251 computations (27.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 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))) | |
| 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 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) | |
| cost-diff | 4 | (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 196 |
| 0 | 48 | 196 |
| 1 | 77 | 196 |
| 2 | 110 | 193 |
| 3 | 164 | 187 |
| 4 | 256 | 187 |
| 5 | 504 | 187 |
| 6 | 1385 | 184 |
| 7 | 3038 | 184 |
| 8 | 4105 | 184 |
| 9 | 4731 | 184 |
| 10 | 5563 | 184 |
| 11 | 6677 | 184 |
| 0 | 9301 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(neg.f64 y) |
#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 (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) |
(/.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))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))) |
#s(approx (- 2 (+ x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(neg.f64 y) |
#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 (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) |
(/.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))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (fma.f64 (+.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) | |
| accuracy | 39.48561976485931 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 23.90889466435617 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 32.16476585856607 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 32.8636681399276 | #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 | 40.28395073943658 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 2 binary64) x) y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) | |
| accuracy | 7.4987301612677735 | (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
| 59.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 141 to 26 computations (81.6% saved)
ival-mult: 8.0ms (28.6% of total)ival-sub: 7.0ms (25% of total)ival-div: 6.0ms (21.5% of total)ival-add: 4.0ms (14.3% of total)exact: 1.0ms (3.6% of total)ival-neg: 1.0ms (3.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 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 (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)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
(- 2 y) |
(- (+ 2 (* -1 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) |
(* 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)) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
(/ 2 y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 y))) |
(* -1 x) |
(* x (- (* 2 (/ 1 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 |
(* x (+ 1 (* -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 (/ x y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y)))))) |
(- 2 x) |
(- (+ 2 (* -1 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))) |
(+ x (* -1 y)) |
2 |
(+ 2 (* -1 y)) |
-2 |
(- (* 2 y) 2) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(/ (- 2 x) y) |
(* 2 y) |
(* y (- (* 2 (/ 1 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)) |
(* y (- 2 (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 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 (* 2 (/ 1 y))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- (* 2 y) 2) (/ (- x y) (- 2 (+ x y))) (- (/ (- (* 2 y) 2) x) 1) (/ (- (* 2 y) 2) x) (/ (- 2 x) y) (* 2 y)) |
| 4.0ms | y | @ | -inf | ((+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- (* 2 y) 2) (/ (- x y) (- 2 (+ x y))) (- (/ (- (* 2 y) 2) x) 1) (/ (- (* 2 y) 2) x) (/ (- 2 x) y) (* 2 y)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- (* 2 y) 2) (/ (- x y) (- 2 (+ x y))) (- (/ (- (* 2 y) 2) x) 1) (/ (- (* 2 y) 2) x) (/ (- 2 x) y) (* 2 y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- (* 2 y) 2) (/ (- x y) (- 2 (+ x y))) (- (/ (- (* 2 y) 2) x) 1) (/ (- (* 2 y) 2) x) (/ (- 2 x) y) (* 2 y)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (- (* 2 y) 2) (/ (- x y) (- 2 (+ x y))) (- (/ (- (* 2 y) 2) x) 1) (/ (- (* 2 y) 2) x) (/ (- 2 x) y) (* 2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 955 |
| 1 | 839 | 915 |
| 2 | 2801 | 849 |
| 0 | 8274 | 814 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 2 y) |
(- (+ 2 (* -1 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) |
(* 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)) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
(/ 2 y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 y))) |
(* -1 x) |
(* x (- (* 2 (/ 1 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 |
(* x (+ 1 (* -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 (/ x y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y)))))) |
(- 2 x) |
(- (+ 2 (* -1 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))) |
(+ x (* -1 y)) |
2 |
(+ 2 (* -1 y)) |
-2 |
(- (* 2 y) 2) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(/ (- 2 x) y) |
(* 2 y) |
(* y (- (* 2 (/ 1 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)) |
(* y (- 2 (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 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 (* 2 (/ 1 y))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
| Outputs |
|---|
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -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 #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)))) (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))) 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) |
(* 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)) |
(/ (- (* 2 y) 2) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) x) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -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 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.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 #s(literal 2 binary64) y) x) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (-.f64 (/.f64 (fma.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 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (*.f64 #s(literal 2 binary64) y)) x) (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) 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 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)) x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (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 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 1 binary64) (/.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)) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y 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 (* x (- (/ 1 y) (* 2 (/ 1 (* x y)))))) |
(*.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) y)) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) 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))) |
(+ x (* -1 y)) |
(-.f64 x y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
-2 |
#s(literal -2 binary64) |
(- (* 2 y) 2) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(/ (- 2 x) y) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* 2 y) |
(*.f64 #s(literal 2 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 |
#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))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.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)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) y) (/.f64 #s(literal -2 binary64) x)) y) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) y) (/.f64 #s(literal -2 binary64) x)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 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 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 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 (* y (- (* 2 (/ 1 y)) 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) y) (/.f64 #s(literal -2 binary64) x)) y) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 174 |
| 0 | 48 | 174 |
| 1 | 184 | 174 |
| 2 | 1275 | 174 |
| 0 | 8119 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 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 (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)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
(-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y))) (+.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))) (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))) |
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(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) y (fma.f64 y #s(literal 4 binary64) #s(literal 4 binary64)))) x) (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) y (fma.f64 y #s(literal 4 binary64) #s(literal 4 binary64)))) x)) |
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 2 binary64)) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y x))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (+.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (/.f64 (+.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 x #s(literal 2 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 x #s(literal 2 binary64)) y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) y))) |
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) y)) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) y)) |
(-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y)) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 x #s(literal 2 binary64)) y)) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 x #s(literal 2 binary64)) y))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 y y))) (neg.f64 (-.f64 y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y y)) (/.f64 (*.f64 y y) (-.f64 y y))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))) |
(+.f64 y y) |
Compiled 16 612 to 1 925 computations (88.4% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 408 | 6 | 414 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 412 | 16 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 62.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
| ✓ | 62.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 26.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 52.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 100.0% | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| ▶ | 52.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 48.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 38.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| 37.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| ✓ | 12.4% | #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))) |
| ▶ | 3.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
| ▶ | 12.8% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| ✓ | 37.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 402 to 291 computations (27.6% saved)
| 1× | egg-herbie |
Found 19 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 #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 | #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 264 |
| 0 | 50 | 264 |
| 1 | 72 | 264 |
| 2 | 87 | 264 |
| 3 | 103 | 264 |
| 4 | 124 | 264 |
| 5 | 166 | 264 |
| 6 | 211 | 264 |
| 7 | 269 | 264 |
| 8 | 335 | 264 |
| 9 | 459 | 264 |
| 10 | 750 | 264 |
| 11 | 1101 | 264 |
| 12 | 1217 | 264 |
| 13 | 1460 | 264 |
| 14 | 1896 | 264 |
| 15 | 2325 | 264 |
| 16 | 2770 | 264 |
| 17 | 2965 | 264 |
| 18 | 3143 | 264 |
| 19 | 3517 | 264 |
| 20 | 3728 | 264 |
| 21 | 4028 | 264 |
| 22 | 4563 | 264 |
| 23 | 5444 | 264 |
| 24 | 5640 | 264 |
| 0 | 5640 | 256 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) |
(fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) |
#s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#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) |
(/.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 |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) |
(fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) |
#s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(+.f64 #s(literal -2 binary64) y) |
(-.f64 y #s(literal 2 binary64)) |
#s(literal -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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 23.90889466435617 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 31.944044272064644 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 30.4931065333411 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) | |
| accuracy | 32.16476585856607 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) | |
| accuracy | 32.27538536933523 | #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) | |
| accuracy | 32.8636681399276 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 31.784127436174124 | #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 32.16476585856607 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 32.8636681399276 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) | |
| accuracy | 0.0 | #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) | |
| accuracy | 7.4987301612677735 | (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) | |
| accuracy | 31.768914284421683 | #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) |
| 148.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 143 to 25 computations (82.5% saved)
ival-div: 72.0ms (81% of total)ival-sub: 5.0ms (5.6% of total)ival-add: 5.0ms (5.6% of total)ival-mult: 4.0ms (4.5% of total)ival-neg: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) |
(fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
#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) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- 2 x) 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)) |
(/ 2 y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 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)))) |
(* -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 (/ x y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(- (* -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 y) (* 2 (/ 1 (* x y)))))) |
(/ 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) |
(* -1/2 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) |
2 |
(+ 2 (* -1 y)) |
(/ (- 2 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 (* 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)))) |
(* 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 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- 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) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (/ (- 2 x) y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- 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) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (/ (- 2 x) y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- 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) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (/ (- 2 x) y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- 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) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (/ (- 2 x) y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ (* (/ (- 2 x) y) y) (neg y)) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- 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) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (/ (- 2 x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 946 |
| 1 | 842 | 912 |
| 2 | 2710 | 824 |
| 0 | 8347 | 795 |
| 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)) |
(/ 2 y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 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)))) |
(* -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 (/ x y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(- (* -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 y) (* 2 (/ 1 (* x y)))))) |
(/ 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) |
(* -1/2 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) |
2 |
(+ 2 (* -1 y)) |
(/ (- 2 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 (* 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)))) |
(* 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 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -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 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)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* -1 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
-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))))) |
(-.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))) |
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 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (* 2 (/ 1 (* x y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) 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 (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)) |
(* -1 (* x (- (/ 1 y) (* 2 (/ 1 (* x y)))))) |
(*.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) y)) |
(/ 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))) |
(+ 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) |
(* -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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(/ (- 2 x) y) |
(/.f64 (-.f64 #s(literal 2 binary64) x) y) |
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 (-.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))) |
(* 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 (* 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) |
(* 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 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) 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 (* -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)) |
(* -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 | 38 | 241 |
| 0 | 50 | 241 |
| 1 | 169 | 241 |
| 2 | 1055 | 241 |
| 0 | 8395 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) |
(fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
#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) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) |
| Outputs |
|---|
(*.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)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) (neg.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (*.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) y))) (neg.f64 (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (neg.f64 y))) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) (*.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64)))))) |
(/.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)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) (*.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) y)) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 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)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (pow.f64 #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y))) #s(literal 2 binary64))))))) |
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(/.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 (neg.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)) (-.f64 #s(literal -2 binary64) y)) |
(/.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))) |
(-.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 (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 #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 (-.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)) |
(*.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)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) y))) (neg.f64 (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))))) |
(/.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)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) y)) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.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)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (*.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) y) (*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) (/.f64 y #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))))) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) |
Compiled 12 227 to 1 101 computations (91% saved)
17 alts after pruning (5 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 3 | 281 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 280 | 17 | 297 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 62.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 26.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 52.5% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 100.0% | (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| ✓ | 52.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| 52.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y #s(approx (+ -2 y) (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)))) | |
| ✓ | 48.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 38.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| 37.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| 16.6% | #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))) | |
| 16.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| ✓ | 12.4% | #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))) |
| ✓ | 12.8% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| ✓ | 37.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 694 to 315 computations (54.6% 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
(/.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y #s(approx (+ -2 y) (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
3 calls:
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 100.0% | 1 | x |
| 100.0% | 1 | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
(/.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y #s(approx (+ -2 y) (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 #s(approx (/ (- 2 x) y) (/.f64 #s(literal 2 binary64) y)) y (neg.f64 y)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 100.0% | 1 | x |
| 100.0% | 1 | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
(/.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 10.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 89.6% | 3 | x |
| 77.9% | 5 | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
(/.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) 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))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
| 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 |
|---|---|---|
| 97.6% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 3 | x |
| 87.8% | 2 | (/.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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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(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))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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 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 (/ 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))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #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 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) 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))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#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(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| 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 |
|---|---|---|
| 81.6% | 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)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 3 | y |
| 63.9% | 3 | x |
| 73.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% 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:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | y |
| 37.7% | 1 | x |
| 37.7% | 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 | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 3.2454225560911514e-8 | 2.2443116529082077e-5 |
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007821474344485645 | 0.9999989953461923 |
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007821474344485645 | 0.9999989953461923 |
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007821474344485645 | 0.9999989953461923 |
| 0.0ms | -0.999979471775794 | -1.673196104042357e-6 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0036805287579751034 | 0.007821474344485645 |
| 0.0ms | -1.3045538433496157e-9 | -1.1649368763334803e-15 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -9.978696973195718e-261 | 1.1831510485764808e-265 |
| 4.0ms | 208× | 0 | valid |
Compiled 298 to 272 computations (8.7% saved)
ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 535 |
| 1 | 104 | 535 |
| 2 | 131 | 535 |
| 3 | 148 | 535 |
| 4 | 165 | 535 |
| 5 | 196 | 535 |
| 6 | 260 | 535 |
| 7 | 355 | 535 |
| 8 | 519 | 535 |
| 9 | 677 | 535 |
| 10 | 888 | 535 |
| 11 | 3357 | 535 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.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 -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.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 -1/2 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 -1/2 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 944473296573929/18889465931478580854784 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 -1/2 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 -1/2 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 5764607523034235/576460752303423488 binary64)) #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))) #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 5764607523034235/576460752303423488 binary64)) #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))) #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 5764607523034235/576460752303423488 binary64)) #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(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4835703278458517/4835703278458516698824704 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 5764607523034235/1152921504606846976 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(/.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 -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.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 -1/2 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 -1/2 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 944473296573929/18889465931478580854784 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 -1/2 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 -1/2 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 5764607523034235/576460752303423488 binary64)) #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))) #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 5764607523034235/576460752303423488 binary64)) #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))) #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 5764607523034235/576460752303423488 binary64)) #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(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4835703278458517/4835703278458516698824704 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 5764607523034235/1152921504606846976 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 | 528 | 2187 |
| 1 | 1724 | 2026 |
| 2 | 6153 | 1948 |
| 0 | 8206 | 1878 |
| 0 | 186 | 709 |
| 1 | 572 | 677 |
| 2 | 1927 | 594 |
| 0 | 8256 | 570 |
| 0 | 275 | 946 |
| 1 | 842 | 912 |
| 2 | 2710 | 824 |
| 0 | 8347 | 795 |
| 0 | 261 | 955 |
| 1 | 839 | 915 |
| 2 | 2801 | 849 |
| 0 | 8274 | 814 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 53 | 20 |
| 2 | 404 | 20 |
| 3 | 6675 | 20 |
| 0 | 8155 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 535 to 82 computations (84.7% saved)
Compiled 1 118 to 194 computations (82.6% saved)
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