
Time bar (total: 5.9s)
| 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)
| 652.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 164.0ms (51.7% of total)ival-sub: 99.0ms (31.2% of total)ival-add: 39.0ms (12.3% of total)ival-true: 6.0ms (1.9% of total)exact: 6.0ms (1.9% of total)ival-assert: 4.0ms (1.3% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-sub: 5.0ms (42.1% of total)ival-div: 3.0ms (25.3% of total)ival-add: 3.0ms (25.3% 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 | 0.015625 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-sub: 3.0ms (51.6% of total)ival-div: 2.0ms (34.4% of total)ival-add: 1.0ms (17.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.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 | |
|---|---|---|---|---|
| 31.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 2.0ms | y | @ | inf | ((/ (- 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)) |
| 1.0ms | 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))) |
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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)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 630 | 10 | 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 630 | 11 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 92.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ▶ | 60.0% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| 49.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| 51.1% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 92.0% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 47.0% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 54.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 41.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 303 to 211 computations (30.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 y (neg.f64 x)) x x) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 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 | 896 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 173 |
| 0 | 47 | 172 |
| 1 | 82 | 172 |
| 2 | 129 | 159 |
| 3 | 240 | 149 |
| 4 | 563 | 149 |
| 5 | 2081 | 149 |
| 6 | 5455 | 149 |
| 7 | 7762 | 149 |
| 0 | 8041 | 149 |
| 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))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.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) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.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) #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))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.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) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
#s(approx (- x y) (-.f64 x y)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(-.f64 x y) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.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 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 4.876521811427377 | (fma.f64 (/.f64 y (neg.f64 x)) x x) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 25.39696336691069 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 28.711529361798473 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 37.4020127607046 | #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 | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| accuracy | 4.876521811427377 | (fma.f64 (/.f64 y x) x x) |
| 60.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 297 to 49 computations (83.5% saved)
ival-sub: 32.0ms (67.4% of total)ival-div: 7.0ms (14.8% of total)ival-mult: 3.0ms (6.3% of total)ival-add: 3.0ms (6.3% of total)ival-neg: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(/.f64 y (neg.f64 x)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(neg.f64 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) |
(* 1/2 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)) |
(+ x (* -1 y)) |
(* -1 (/ y x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ 2 (* -1 y)) |
(* 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)))) |
(* y (- (* 2 (/ 1 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 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (+ x y) (neg x)) |
| 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))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (+ x y) (neg x)) |
| 1.0ms | 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))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (+ x y) (neg x)) |
| 1.0ms | 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))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (+ x y) (neg x)) |
| 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))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (- 2 y) (+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (+ x y) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 827 |
| 1 | 719 | 784 |
| 2 | 2191 | 717 |
| 0 | 8473 | 674 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(+ x (* -1 y)) |
(* -1 (/ y x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(+ 2 (* -1 y)) |
(* 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)))) |
(* y (- (* 2 (/ 1 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 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (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) 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))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(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 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #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 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) 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)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.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))) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #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 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* 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 (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))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 147 |
| 0 | 47 | 147 |
| 1 | 200 | 147 |
| 2 | 1532 | 140 |
| 0 | 8349 | 136 |
| 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))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(/.f64 y (neg.f64 x)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(neg.f64 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 #s(literal 1 binary64) (fma.f64 y #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (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 (*.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 (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 (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 (-.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 (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 (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 (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) (/.f64 (-.f64 x (*.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 1 binary64)) x))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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 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) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 x)) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y x) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) x) x) |
(fma.f64 (/.f64 x x) (/.f64 (neg.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1 binary64)) x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) x))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.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 x x (-.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (neg.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 (neg.f64 (*.f64 y #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)))) |
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) x) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y x) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (neg.f64 x)) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x x) x) |
(fma.f64 (/.f64 x x) (/.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 x y)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y x) (/.f64 x #s(literal -1 binary64)) x) |
(fma.f64 x (/.f64 y (neg.f64 x)) x) |
(fma.f64 y (/.f64 (neg.f64 x) x) x) |
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) x) x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (*.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 x (neg.f64 (*.f64 y #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) x))) |
(+.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) x) |
(+.f64 x (neg.f64 (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(*.f64 (neg.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))) (pow.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))))) |
(/.f64 (*.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(neg.f64 (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)))) #s(literal -1 binary64))) |
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y x))))) |
(/.f64 (neg.f64 (/.f64 y #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) x) |
(/.f64 (/.f64 y #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 y (neg.f64 x)) |
(neg.f64 (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
#s(approx (+ x y) (fma.f64 y #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 17 364 to 2 109 computations (87.9% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 583 | 3 | 586 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 584 | 13 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 92.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 60.0% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ▶ | 51.1% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 92.0% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 47.0% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| ▶ | 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ▶ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 335 to 236 computations (29.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) | |
| cost-diff | 1728 | (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 186 |
| 0 | 48 | 186 |
| 1 | 83 | 181 |
| 2 | 174 | 181 |
| 3 | 639 | 163 |
| 4 | 2597 | 163 |
| 5 | 6242 | 163 |
| 0 | 8175 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 y x)) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
y |
(+.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(-.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 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 y x)) |
(neg.f64 (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#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) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 33.794240488459685 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 28.711529361798473 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 32.83967961465684 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 28.711529361798473 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 32.30885612811008 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 41.83362450922808 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 (+.f64 y x)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 30.106059521920482 | (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
| 91.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 334 to 62 computations (81.4% saved)
ival-div: 8.0ms (29.7% of total)ival-mult: 7.0ms (26% of total)ival-sub: 5.0ms (18.6% of total)ival-add: 5.0ms (18.6% of total)exact: 1.0ms (3.7% of total)ival-neg: 1.0ms (3.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
(neg.f64 (+.f64 y x)) |
| Outputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y)))))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(- (* -1 x) y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
-1 |
(- (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x))) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- (* -1 y) (* -1 (- 2 y)))) (pow x 3))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)))) 1) |
(* -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)) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) 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)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (+ 1 (/ y x)))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* y (+ (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (* -1 (/ (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))) (- 2 x))))))) (/ x (- 2 x))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 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 |
(- y 2) |
(- (* -1 y) x) |
(* y (- (/ x y) 1)) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (* -1 (/ (- (* 2 x) 2) y)))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) (pow y 3))) (* -1 (/ (- (* 2 x) 2) 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))))) |
(- (+ 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 |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- (* -1 (/ x y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (/ (pow x 2) y)) (+ (/ (* x (- 2 x)) y) (/ (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (* -1 (/ (+ (* -1 (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x))))))) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (- (+ 2 (* -1 x)) x) (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))))) y))) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) 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 (/ x y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (neg (+ y x))) |
| 3.0ms | x | @ | 0 | ((* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (neg (+ y x))) |
| 3.0ms | x | @ | -inf | ((* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (neg (+ y x))) |
| 2.0ms | x | @ | inf | ((* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (neg (+ y x))) |
| 2.0ms | y | @ | inf | ((* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (neg (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 2026 |
| 1 | 1716 | 1787 |
| 2 | 5519 | 1613 |
| 0 | 8552 | 1501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(+ x (* -1 y)) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y)))))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(- (* -1 x) y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
-1 |
(- (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x))) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- (* -1 y) (* -1 (- 2 y)))) (pow x 3))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)))) 1) |
(* -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)) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) 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)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (+ 1 (/ y x)))) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* y (+ (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (* -1 (/ (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))) (- 2 x))))))) (/ x (- 2 x))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 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 |
(- y 2) |
(- (* -1 y) x) |
(* y (- (/ x y) 1)) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (* -1 (/ (- (* 2 x) 2) y)))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) (pow y 3))) (* -1 (/ (- (* 2 x) 2) 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))))) |
(- (+ 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 |
(* y (- 1 (* 2 (/ 1 y)))) |
(* y (- (* -1 (/ x y)) 1)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (/ (pow x 2) y)) (+ (/ (* x (- 2 x)) y) (/ (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (* -1 (/ (+ (* -1 (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x))))))) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (- (+ 2 (* -1 x)) x) (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))))) y))) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) 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 (/ x y)))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y))))) |
(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 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))))) |
(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 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y)))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))) x (/.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 #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 y #s(literal 2 binary64)))) |
(pow y 2) |
(*.f64 y y) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(*.f64 y y) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(fma.f64 (neg.f64 x) x (*.f64 y 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 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 #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 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 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 y #s(literal 2 binary64)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(- (* -1 x) y) |
(-.f64 (neg.f64 x) y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x))) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- (* -1 y) (* -1 (- 2 y)))) (pow x 3))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)))) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(- (* 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 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) 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 y x) #s(literal 2 binary64) (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 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ y x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x)) x) #s(literal -1 binary64)) x) |
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)))) x)) x)) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 2 binary64)) y) (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (fma.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)))) x) (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)))))) x)) x)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 (* x (+ 1 (/ y x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(fma.f64 (-.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 (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* y (+ (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (* -1 (/ (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))) (- 2 x))))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (*.f64 (-.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)))) (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) 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))) |
(+ (* -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)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.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 (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 y (-.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 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) (neg.f64 y) (-.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))) |
(* -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) |
-2 |
#s(literal -2 binary64) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(- (* -1 y) x) |
(-.f64 (neg.f64 x) y) |
(* y (- (/ x y) 1)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(/ (- (/ x y) 1) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y)) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (* -1 (/ (- (* 2 x) 2) y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) (pow y 3))) (* -1 (/ (- (* 2 x) 2) y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (-.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y)) (+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 (-.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y)) (+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64))) |
(+ 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)) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
(* y (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) y)) y) #s(literal -1 binary64)) y) |
(- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (/ (pow x 2) y)) (+ (/ (* x (- 2 x)) y) (/ (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.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 (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (* -1 (/ (+ (* -1 (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x))))))) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (- (+ 2 (* -1 x)) x) (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))))) y))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))) y) (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 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 (* -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))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 y) y) |
(* -1 (* y (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 160 |
| 0 | 48 | 156 |
| 1 | 196 | 138 |
| 2 | 1587 | 138 |
| 0 | 8350 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
(neg.f64 (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (+.f64 x y)) (-.f64 y x)) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) |
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 (+.f64 x y) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) |
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))) |
(*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (neg.f64 (+.f64 x y)))) |
(*.f64 (-.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(/.f64 (-.f64 y x) #s(literal -1 binary64)) |
(neg.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(neg.f64 (-.f64 y x)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64))) (neg.f64 (-.f64 y #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (*.f64 (-.f64 #s(literal -2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 y y) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))) (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 y #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y))) |
(+.f64 #s(literal -2 binary64) y) |
(+.f64 y #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (neg.f64 x)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 x y)) |
(*.f64 (+.f64 x y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.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 (fma.f64 x (-.f64 x y) (*.f64 y 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 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 (neg.f64 y) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (neg.f64 y) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (+.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))) |
(/.f64 (+.f64 x y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(neg.f64 (+.f64 x y)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 x y))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) y) |
(-.f64 (neg.f64 y) x) |
(-.f64 #s(literal 0 binary64) (+.f64 x y)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (neg.f64 (+.f64 x y))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) |
Compiled 17 076 to 2 459 computations (85.6% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 573 | 2 | 575 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 574 | 14 | 588 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 92.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 60.0% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 92.0% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 47.0% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 15.1% | #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))) |
| ▶ | 15.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ▶ | 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 229 to 164 computations (28.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 0 | (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 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 195 |
| 0 | 51 | 195 |
| 1 | 77 | 195 |
| 2 | 127 | 195 |
| 3 | 268 | 195 |
| 4 | 675 | 195 |
| 5 | 1489 | 195 |
| 6 | 2417 | 195 |
| 7 | 4638 | 195 |
| 8 | 6396 | 195 |
| 9 | 7075 | 195 |
| 10 | 7116 | 195 |
| 11 | 7118 | 195 |
| 12 | 7142 | 195 |
| 13 | 7432 | 195 |
| 14 | 7586 | 195 |
| 15 | 7998 | 195 |
| 16 | 7998 | 195 |
| 17 | 7998 | 195 |
| 0 | 8362 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) |
#s(literal 1/16 binary64) |
x |
#s(literal 1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (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 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) |
#s(literal 1/16 binary64) |
x |
#s(literal 1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (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 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 (-.f64 #s(literal 2 binary64) x) y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 34.12228331286579 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| accuracy | 30.35414624504141 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| accuracy | 33.99976852528043 | #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 | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 30.01953659641264 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 33.99976852528043 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| accuracy | 28.957613385023595 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 32.94308045309941 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
| 82.0ms | 256× | 0 | valid |
Compiled 331 to 69 computations (79.2% saved)
ival-add: 16.0ms (37.6% of total)ival-mult: 15.0ms (35.2% of total)ival-div: 5.0ms (11.7% of total)ival-sub: 4.0ms (9.4% of total)exact: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (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 #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 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))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))) |
(* -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))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(* -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))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 1081 |
| 1 | 955 | 1036 |
| 2 | 2874 | 966 |
| 0 | 8513 | 912 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))) |
(* -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))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(* -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))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -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 x (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)))) (/.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))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 x)) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(* -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) |
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 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(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)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* 1/16 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/16 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
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 #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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/8 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) x)) x))) (pow.f64 x #s(literal 3 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 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))) |
(* -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)) |
(+ 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 |
#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))) |
(+ 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)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #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 (* -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 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 171 |
| 0 | 51 | 171 |
| 1 | 203 | 171 |
| 2 | 1458 | 171 |
| 0 | 8798 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (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 #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 x y) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)) (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x)) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x) x)) |
(+.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x)) (*.f64 x #s(literal 1/2 binary64))) |
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(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (+.f64 y x))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) #s(literal 1 binary64))) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(+.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 x)) |
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.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 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x y))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(*.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 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 y y (neg.f64 (*.f64 x x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (-.f64 y x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (fma.f64 #s(literal -1 binary64) x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (fma.f64 y y (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 x (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) |
(-.f64 x (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 12 522 to 1 757 computations (86% saved)
14 alts after pruning (0 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 0 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 10 | 10 |
| Total | 399 | 14 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 92.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 60.0% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 92.0% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 47.0% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 15.1% | #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))) |
| ✓ | 15.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 14.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 495 to 244 computations (50.7% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.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 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 35.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.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)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | x |
| 77.1% | 3 | y |
| 99.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
2 calls:
| 7.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | x |
| 87.4% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 3 | y |
| 66.7% | 3 | x |
| 73.8% | 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 |
|---|---|---|
| 41.2% | 1 | y |
| 41.2% | 1 | x |
| 41.2% | 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 | -0.2929433589400625 | -2.1639844676947096e-13 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1395917067401e-64 | 3.2920100589605734e-58 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.913677506207948e-5 | 0.00018865664688712266 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.913677506207948e-5 | 0.00018865664688712266 |
| 0.0ms | -2.1639844676947096e-13 | -1.754435915806789e-28 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.913677506207948e-5 | 0.00018865664688712266 |
| 0.0ms | -2.1639844676947096e-13 | -1.754435915806789e-28 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -5.208237878815377e-238 | 8.95896612881365e-268 |
| 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 | 54 | 307 |
| 1 | 74 | 307 |
| 2 | 102 | 307 |
| 3 | 151 | 307 |
| 4 | 268 | 307 |
| 5 | 479 | 307 |
| 6 | 984 | 307 |
| 7 | 3196 | 307 |
| 8 | 6488 | 307 |
| 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 -3602879701896397/18014398509481984 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 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 7378697629483821/147573952589676412928 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 -3961408125713217/19807040628566084398385987584 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 7378697629483821/147573952589676412928 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 -3961408125713217/19807040628566084398385987584 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 7378697629483821/147573952589676412928 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 -3602879701896397/18014398509481984 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 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 7378697629483821/147573952589676412928 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 -3961408125713217/19807040628566084398385987584 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 7378697629483821/147573952589676412928 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 -3961408125713217/19807040628566084398385987584 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 7378697629483821/147573952589676412928 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 | 234 | 827 |
| 1 | 719 | 784 |
| 2 | 2191 | 717 |
| 0 | 8473 | 674 |
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 352 to 119 computations (66.2% saved)
Compiled 662 to 140 computations (78.9% saved)
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