
Time bar (total: 6.4s)
| 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)
| 417.0ms | 8 256× | 0 | valid |
ival-sub: 94.0ms (44.9% of total)ival-div: 54.0ms (25.8% of total)ival-add: 47.0ms (22.5% of total)ival-true: 6.0ms (2.9% of total)exact: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% 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 |
| 30.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-sub: 5.0ms (36.9% of total)ival-div: 5.0ms (36.9% of total)ival-add: 3.0ms (22.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 501 | 45 |
| 4 | 1127 | 45 |
| 5 | 1680 | 45 |
| 6 | 1943 | 45 |
| 7 | 2049 | 45 |
| 8 | 2107 | 45 |
| 9 | 2120 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 354 | 9 |
| 6 | 624 | 9 |
| 7 | 933 | 9 |
| 8 | 977 | 9 |
| 9 | 993 | 9 |
| 10 | 994 | 9 |
| 0 | 994 | 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 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
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 | 21 | 23 |
| 2 | 38 | 23 |
| 3 | 79 | 23 |
| 4 | 186 | 23 |
| 5 | 354 | 23 |
| 6 | 624 | 23 |
| 7 | 933 | 23 |
| 8 | 977 | 23 |
| 9 | 993 | 23 |
| 10 | 994 | 23 |
| 0 | 994 | 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 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(-.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 | 0.0234375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sub: 2.0ms (35.5% of total)ival-div: 2.0ms (35.5% of total)ival-add: 1.0ms (17.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 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 (fma.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)))) 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 (- 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 (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 (-.f64 #s(literal 2 binary64) y) x) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.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))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 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 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -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 (fma.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) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x 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))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) 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 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 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))) |
(+ (* 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 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 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 #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 (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 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x #s(literal 2 binary64)) y)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.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 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) 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))) |
(fma.f64 (/.f64 x y) y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 60 | 20 |
| 2 | 525 | 20 |
| 3 | 7789 | 20 |
| 0 | 8511 | 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 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.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 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (-.f64 y 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 (/.f64 (-.f64 y 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 (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.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 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (+.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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 4 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 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.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)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.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 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.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 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 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))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.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 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.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) (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (-.f64 x y) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x)) |
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(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.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 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) x) y) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y (*.f64 #s(literal 1 binary64) x)) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 16 587 to 1 881 computations (88.7% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 13 | 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 627 | 14 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| 55.1% | (/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 86.7% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| 86.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)))) | |
| 64.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| ▶ | 50.6% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
| ▶ | 51.1% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| ▶ | 50.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| 37.3% | #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))) | |
| 36.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 37.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 405 to 277 computations (31.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 8 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| 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 | (+.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 (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 150 |
| 0 | 41 | 144 |
| 1 | 83 | 144 |
| 2 | 191 | 140 |
| 3 | 426 | 140 |
| 4 | 1250 | 140 |
| 5 | 3365 | 140 |
| 0 | 8484 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
y |
x |
#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 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 #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 |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#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 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 #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 |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
(*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) | |
| accuracy | 31.086727368451893 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 31.507849353527764 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 31.44680150852378 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 40.17339606296725 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| accuracy | 0.05859375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 57.0ms | 256× | 0 | valid |
Compiled 138 to 23 computations (83.3% saved)
ival-div: 7.0ms (29.5% of total)ival-mult: 6.0ms (25.3% of total)ival-sub: 4.0ms (16.8% of total)ival-add: 4.0ms (16.8% of total)ival-neg: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
(/.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 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(-.f64 y x) |
(+.f64 x y) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
| Outputs |
|---|
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- y 2) |
(- (+ x y) 2) |
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ y (* -1 x)) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 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))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* x (- (/ y x) 1)) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) x)))) x)))) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(- x 2) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(- y x) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 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)))) |
(+ 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 (- 1 (* 2 (/ 1 y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* -1 (* y (- (/ x y) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (- y x) (+ x y) (* (- (+ y x) 2) (+ y x))) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (- y x) (+ x y) (* (- (+ y x) 2) (+ y x))) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (- y x) (+ x y) (* (- (+ y x) 2) (+ y x))) |
| 2.0ms | x | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (- y x) (+ x y) (* (- (+ y x) 2) (+ y x))) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (- y x) (+ x y) (* (- (+ y x) 2) (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 2324 |
| 1 | 1865 | 2111 |
| 2 | 6292 | 1974 |
| 0 | 8686 | 1833 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- y 2) |
(- (+ x y) 2) |
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ y (* -1 x)) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 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))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* x (- (/ y x) 1)) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) x)))) x)))) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(- x 2) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(- y x) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 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)))) |
(+ 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 (- 1 (* 2 (/ 1 y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* -1 (* y (- (/ x y) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
| Outputs |
|---|
(/ y (- y 2)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) x (/.f64 x (-.f64 y #s(literal 2 binary64))))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (*.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) x (/.f64 x (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))) x (-.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/ (- y 2) y) |
(/.f64 (-.f64 y #s(literal 2 binary64)) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) (/.f64 x y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) y) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -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 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #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 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -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 y #s(literal 2 binary64)) #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 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
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(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(* y (- 1 (* 2 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) y) 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) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(*.f64 y (fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) y)) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 y #s(literal 2 binary64)) y)) (*.f64 y y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (fma.f64 x (/.f64 x y) x)) y)) y)) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 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 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y)) y)) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(*.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 x y) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(*.f64 y (fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)) y) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 126 |
| 0 | 41 | 120 |
| 1 | 192 | 116 |
| 2 | 1765 | 116 |
| 0 | 8478 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
(/.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 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(-.f64 y x) |
(+.f64 x y) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x y) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y)))) |
(*.f64 (-.f64 y x) (*.f64 (+.f64 x y) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 y x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 x y)))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x))) (neg.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x))) (neg.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))) (-.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))) (-.f64 y x)) |
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(fma.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (+.f64 x y) #s(literal -2 binary64)) |
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(fma.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (-.f64 x #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 x y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 (-.f64 x #s(literal 2 binary64)) y) |
(+.f64 #s(literal -2 binary64) (+.f64 x y)) |
(+.f64 (+.f64 x y) #s(literal -2 binary64)) |
(+.f64 x (-.f64 y #s(literal 2 binary64))) |
(+.f64 x (+.f64 #s(literal -2 binary64) y)) |
(+.f64 y (-.f64 x #s(literal 2 binary64))) |
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(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 y x)) |
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
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#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
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(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) y) y) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 x y)) (+.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 x y)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 y x) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 y x) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 x y) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (neg.f64 (+.f64 x y)) (neg.f64 (+.f64 x y)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y)) |
(fma.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x)) |
(fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
(fma.f64 (+.f64 x y) y (*.f64 (+.f64 x y) (-.f64 x #s(literal 2 binary64)))) |
(fma.f64 x (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y)) |
(fma.f64 y (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x)) |
(fma.f64 y (+.f64 x y) (*.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x)))) |
(+.f64 (*.f64 (+.f64 x y) y) (*.f64 (+.f64 x y) (-.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 x y))) |
(+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 x y))) |
(+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) #s(literal -2 binary64))) |
Compiled 29 759 to 3 441 computations (88.4% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 052 | 5 | 1 057 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 056 | 15 | 1 071 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 86.7% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| 64.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 48.3% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| 24.3% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- (+ y x) 2) (+ y x)) (*.f64 (-.f64 x #s(literal 2 binary64)) x))) | |
| ✓ | 51.1% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 50.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) | |
| ✓ | 50.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| ▶ | 37.3% | #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))) |
| ▶ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| ▶ | 36.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 427 to 302 computations (29.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| 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 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 0 | 46 | 180 |
| 1 | 83 | 180 |
| 2 | 121 | 176 |
| 3 | 191 | 168 |
| 4 | 321 | 168 |
| 5 | 884 | 168 |
| 6 | 4094 | 168 |
| 7 | 6941 | 168 |
| 0 | 8163 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.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))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/2 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) |
#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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (-.f64 y x) (-.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 2 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.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))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/2 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) |
#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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) | |
| accuracy | 0.0 | (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) | |
| accuracy | 40.12630385579892 | #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))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 40.085157507780025 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| accuracy | 30.99320955532324 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| accuracy | 31.44680150852378 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| accuracy | 40.358301795741774 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| accuracy | 8.22927054242785 | (fma.f64 (/.f64 y x) x x) |
| 104.0ms | 256× | 0 | valid |
Compiled 130 to 26 computations (80% saved)
ival-mult: 73.0ms (80.8% of total)ival-div: 6.0ms (6.6% of total)ival-add: 6.0ms (6.6% of total)ival-sub: 4.0ms (4.4% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
| Outputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ 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)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
-2 |
(- (* 2 y) 2) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* 2 y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2) (+ x y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2) (+ x y)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2) (+ x y)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2) (+ x y)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 899 |
| 1 | 794 | 857 |
| 2 | 2468 | 790 |
| 0 | 8424 | 744 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ 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)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
-2 |
(- (* 2 y) 2) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* 2 y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ y (- 2 y))) |
(/.f64 (neg.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 (neg.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))))) |
(-.f64 (fma.f64 (fma.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)))) x (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.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 (neg.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) y) x) |
(* -1 x) |
(neg.f64 x) |
(/ (- (* 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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) (-.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))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.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)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (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))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) 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 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #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))) |
(+ (* 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 (-.f64 (-.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.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 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 y) 1/2) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/ -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 |
#s(literal -2 binary64) |
(- (* 2 y) 2) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
(* y (+ 1 (/ x y))) |
(+.f64 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 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(+ 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 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) y))) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* -1/4 y) |
(*.f64 #s(literal -1/4 binary64) y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 2 binary64))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x 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) (fma.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 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y)) y)) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y #s(literal -1 binary64)) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 160 |
| 0 | 46 | 160 |
| 1 | 216 | 160 |
| 2 | 1680 | 156 |
| 0 | 8430 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (/.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 x (*.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 x (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 y #s(literal 1 binary64))))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) x) |
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 x x) (/.f64 (neg.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x (/.f64 y x) x) |
(fma.f64 y (/.f64 x x) x) |
(fma.f64 y #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 x (*.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1 binary64) (neg.f64 x)))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) x) |
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(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (+ x y) (fma.f64 y #s(literal 1 binary64) x)) |
Compiled 15 757 to 1 908 computations (87.9% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 3 | 521 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 520 | 16 | 536 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 86.7% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ▶ | 64.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 48.3% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
| 24.3% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- (+ y x) 2) (+ y x)) (*.f64 (-.f64 x #s(literal 2 binary64)) x))) | |
| ✓ | 51.1% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 50.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 50.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ▶ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 37.6% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) | |
| ✓ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| 3.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) | |
| ▶ | 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
| ✓ | 36.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 442 to 314 computations (29% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| cost-diff | 3 | (fma.f64 (/.f64 y x) x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) | |
| 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 (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 237 |
| 0 | 62 | 234 |
| 1 | 110 | 234 |
| 2 | 196 | 231 |
| 3 | 353 | 225 |
| 4 | 675 | 225 |
| 5 | 2341 | 225 |
| 6 | 7501 | 225 |
| 0 | 8073 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) |
#s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#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 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) |
#s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#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 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(approx (+ y x) (+.f64 y x)) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
(*.f64 #s(approx (+ y x) (+.f64 y x)) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ y x) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 8.22927054242785 | (fma.f64 (/.f64 y x) x x) | |
| accuracy | 31.086727368451893 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 31.772982891730646 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 31.526483297511994 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) | |
| accuracy | 30.567814689406156 | #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) | |
| accuracy | 30.99320955532324 | #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) | |
| accuracy | 31.44680150852378 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 22.988060749623767 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
| 77.0ms | 256× | 0 | valid |
Compiled 163 to 34 computations (79.1% saved)
ival-sub: 24.0ms (43.3% of total)ival-div: 18.0ms (32.4% of total)ival-mult: 7.0ms (12.6% of total)ival-add: 6.0ms (10.8% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) |
#s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 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 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
| 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))))))) |
2 |
(+ 2 (* -1 x)) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* -1 x)) x) |
y |
(+ x y) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-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)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
(- (* 2 (/ 1 x)) 1) |
(* x (+ 1 (/ y x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) 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 (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (+ (* (/ y x) x) x) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (* (- (+ y x) 2) (+ y x)) (+ y x)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (+ (* (/ y x) x) x) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (* (- (+ y x) 2) (+ y x)) (+ y x)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (+ (* (/ y x) x) x) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (* (- (+ y x) 2) (+ y x)) (+ y x)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (+ (* (/ y x) x) x) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (* (- (+ y x) 2) (+ y x)) (+ y x)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (+ (* (/ y x) x) x) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (* (- (+ y x) 2) (+ y x)) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 2380 |
| 1 | 1976 | 2181 |
| 2 | 6572 | 2149 |
| 0 | 8510 | 2029 |
| 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))))))) |
2 |
(+ 2 (* -1 x)) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* -1 x)) x) |
y |
(+ x y) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-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)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
(- (* 2 (/ 1 x)) 1) |
(* x (+ 1 (/ y x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) 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 (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (+ 1 (/ x y))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -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 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #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 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -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 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #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 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(* 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))))) |
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(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 y x) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 y x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) x)) y (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(* x (- x 2)) |
(*.f64 (-.f64 x #s(literal 2 binary64)) x) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y (*.f64 (-.f64 x #s(literal 2 binary64)) x)) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 y #s(literal 2 binary64))) y (*.f64 (-.f64 x #s(literal 2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 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) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) 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 (-.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)) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))) #s(literal 1 binary64)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64)) y)) |
(* -1/4 y) |
(*.f64 #s(literal -1/4 binary64) y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(neg.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/2 binary64))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (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)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 x #s(literal 2 binary64)) y) (/.f64 x y))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+.f64 (fma.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) (/.f64 x y) (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 x (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y) x (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) #s(literal 1 binary64)) (*.f64 y y)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal 2 binary64) x) (fma.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 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.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)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 x y) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y)) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (-.f64 x #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 2 binary64) x))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 2 binary64)))) y)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (-.f64 (-.f64 #s(literal 2 binary64) x) x)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (fma.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) x (*.f64 x (/.f64 (*.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) x) y))) y)) y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (-.f64 #s(literal 2 binary64) x) x)) y)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 213 |
| 0 | 62 | 213 |
| 1 | 284 | 213 |
| 2 | 2301 | 209 |
| 0 | 8573 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y) |
#s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 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 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(*.f64 (-.f64 x y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) (neg.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 y x))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 y x) (+.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 y x) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 y x)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 y x) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 y x) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 x x))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 y x) y (*.f64 (-.f64 y x) x)) |
(fma.f64 (-.f64 y x) x (*.f64 (-.f64 y x) y)) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) (neg.f64 x))) |
(fma.f64 y (-.f64 y x) (*.f64 x (-.f64 y x))) |
(fma.f64 y (+.f64 y x) (*.f64 (neg.f64 x) (+.f64 y x))) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(fma.f64 y y (*.f64 (neg.f64 x) x)) |
(fma.f64 x (-.f64 y x) (*.f64 y (-.f64 y x))) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x (-.f64 y x)) (*.f64 y (-.f64 y x))) |
(+.f64 (*.f64 (-.f64 y x) y) (*.f64 (-.f64 y x) x)) |
(+.f64 (*.f64 (-.f64 y x) x) (*.f64 (-.f64 y x) y)) |
(+.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) (neg.f64 x))) |
(+.f64 (*.f64 y (+.f64 y x)) (*.f64 (neg.f64 x) (+.f64 y x))) |
(+.f64 (*.f64 y (-.f64 y x)) (*.f64 x (-.f64 y x))) |
(+.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.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 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.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 (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 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.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 (-.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 (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 (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 (neg.f64 (-.f64 y x)) (+.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.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)))) |
(/.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 (neg.f64 (-.f64 y x)) (+.f64 y x)) (neg.f64 (-.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x))) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (+.f64 y x) (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(fma.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) y (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 x #s(literal 2 binary64)))) |
(fma.f64 (+.f64 y x) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) |
(fma.f64 y #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 (+.f64 y x) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x))) (*.f64 #s(literal -2 binary64) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 y #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (+.f64 y x)) (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) y) (*.f64 #s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) (-.f64 x #s(literal 2 binary64)))) |
#s(approx (+ y x) (fma.f64 y #s(literal 1 binary64) x)) |
Compiled 18 569 to 2 302 computations (87.6% saved)
16 alts after pruning (4 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 631 | 3 | 634 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 634 | 16 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 86.7% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 64.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 37.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 51.1% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 26.1% | (/.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| ✓ | 50.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 50.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 50.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 37.6% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) | |
| ✓ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| ✓ | 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
| 15.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| 15.8% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 36.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 37.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 726 to 315 computations (56.6% 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 (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
(/.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) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- (+ y x) 2) (+ y x)) (*.f64 (-.f64 x #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)))) |
(/.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 9.0ms | y |
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
(/.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) 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:
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 3 | x |
| 76.9% | 3 | y |
| 98.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
(/.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 |
|---|---|---|
| 98.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #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:
| 24.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (neg.f64 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 #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))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | x |
| 89.5% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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 #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))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| 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 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| 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(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 35.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(approx (+ (* -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) 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 #s(literal -1/2 binary64) y))) |
#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 |
|---|---|---|
| 87.7% | 4 | (/.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))) |
| 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 |
|---|---|---|
| 84.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| 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 | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 3 | y |
| 67.6% | 3 | x |
| 72.5% | 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 |
|---|---|---|
| 37.2% | 1 | y |
| 37.2% | 1 | x |
| 37.2% | 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 | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -2.391729256127375e-188 | -1.7704822975729996e-205 |
| 0.0ms | -6.2982085030811815e-21 | -1.7281269003234932e-21 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -2.391729256127375e-188 | -1.7704822975729996e-205 |
| 0.0ms | -6.2982085030811815e-21 | -1.7281269003234932e-21 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -2.391729256127375e-188 | -1.7704822975729996e-205 |
| 0.0ms | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -2.391729256127375e-188 | -1.7704822975729996e-205 |
| 0.0ms | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -2.391729256127375e-188 | -1.7704822975729996e-205 |
| 0.0ms | -0.9999994853662199 | -3.1194576216139874e-9 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021471913530819826 | 0.9989821055696494 |
| 0.0ms | -3.1194576216139874e-9 | -1.0216014100487356e-10 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -3.285255447287267e-230 | 8.316864194393806e-272 |
| 4.0ms | 208× | 0 | valid |
Compiled 298 to 272 computations (8.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 743 |
| 1 | 114 | 743 |
| 2 | 145 | 743 |
| 3 | 200 | 743 |
| 4 | 317 | 743 |
| 5 | 527 | 743 |
| 6 | 1074 | 743 |
| 7 | 3431 | 743 |
| 8 | 6305 | 743 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) 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 -6646139978924579/1329227995784915872903807060280344576 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 -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 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 -6646139978924579/1329227995784915872903807060280344576 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 -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 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 -4835703278458517/2417851639229258349412352 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 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) 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 -6646139978924579/1329227995784915872903807060280344576 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 -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 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 -6646139978924579/1329227995784915872903807060280344576 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 -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3135285318820699/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/18446744073709551616 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 -4835703278458517/2417851639229258349412352 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 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 2380 |
| 1 | 1976 | 2181 |
| 2 | 6572 | 2149 |
| 0 | 8510 | 2029 |
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 0 | 603 | 2324 |
| 1 | 1865 | 2111 |
| 2 | 6292 | 1974 |
| 0 | 8686 | 1833 |
| 0 | 264 | 899 |
| 1 | 794 | 857 |
| 2 | 2468 | 790 |
| 0 | 8424 | 744 |
| 1× | fuel |
| 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 857 to 245 computations (71.4% saved)
Compiled 1 534 to 210 computations (86.3% saved)
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