
Time bar (total: 6.2s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-add: 276.0ms (43.4% of total)ival-div: 254.0ms (40% of total)ival-sub: 90.0ms (14.2% of total)ival-true: 6.0ms (0.9% of total)exact: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 40.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-sub: 8.0ms (50.8% of total)ival-div: 3.0ms (19.1% of total)ival-add: 3.0ms (19.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 501 | 45 |
| 4 | 1127 | 45 |
| 5 | 1680 | 45 |
| 6 | 1943 | 45 |
| 7 | 2049 | 45 |
| 8 | 2107 | 45 |
| 9 | 2120 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 354 | 9 |
| 6 | 624 | 9 |
| 7 | 933 | 9 |
| 8 | 977 | 9 |
| 9 | 993 | 9 |
| 10 | 994 | 9 |
| 0 | 994 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 21 | 23 |
| 2 | 38 | 23 |
| 3 | 79 | 23 |
| 4 | 186 | 23 |
| 5 | 354 | 23 |
| 6 | 624 | 23 |
| 7 | 933 | 23 |
| 8 | 977 | 23 |
| 9 | 993 | 23 |
| 10 | 994 | 23 |
| 0 | 994 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 15.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sub: 4.0ms (52.6% of total)ival-div: 2.0ms (26.3% of total)ival-add: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
y |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x #s(literal 2 binary64)) y)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 60 | 20 |
| 2 | 525 | 20 |
| 3 | 7789 | 20 |
| 0 | 8511 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) |
(*.f64 (-.f64 y x) (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (-.f64 x y) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x)) |
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(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) y) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y (*.f64 #s(literal 1 binary64) x)) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 16 587 to 1 881 computations (88.7% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 11 | 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 629 | 12 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| 79.8% | (/.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)) (neg.f64 y))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 67.2% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 34.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 88.2% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 57.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 43.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| ▶ | 41.0% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
| 40.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 325 to 249 computations (23.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 140 |
| 0 | 41 | 140 |
| 1 | 73 | 140 |
| 2 | 121 | 138 |
| 3 | 228 | 138 |
| 4 | 485 | 138 |
| 5 | 875 | 138 |
| 6 | 1936 | 138 |
| 7 | 3439 | 138 |
| 8 | 4173 | 138 |
| 9 | 4657 | 138 |
| 10 | 4852 | 138 |
| 11 | 5039 | 138 |
| 12 | 5058 | 138 |
| 13 | 5072 | 138 |
| 14 | 5242 | 138 |
| 15 | 5410 | 138 |
| 16 | 5410 | 138 |
| 0 | 5410 | 138 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) | |
| accuracy | 0.00390625 | (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) | |
| accuracy | 37.73787663431479 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 41.87560296968919 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 35.88273966601649 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 42.016871062800874 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.03125 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| accuracy | 0.07421875 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 44.0ms | 256× | 0 | valid |
Compiled 122 to 24 computations (80.3% saved)
ival-div: 8.0ms (35.6% of total)ival-sub: 7.0ms (31.2% of total)ival-add: 4.0ms (17.8% of total)ival-mult: 2.0ms (8.9% of total)exact: 1.0ms (4.5% of total)ival-neg: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(-.f64 y x) |
| Outputs |
|---|
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- y 2) |
(- (+ x y) 2) |
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(/ -2 y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
-2 |
(- (* 2 x) 2) |
(+ y (* -1 x)) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (+ 1 (/ y x))) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- (/ y x) 1)) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(- x 2) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (* 2 x) 2) y) |
(- y x) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y)))) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (/ x y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (- y x)) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (- y x)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (- y x)) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (- y x)) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 2106 |
| 1 | 1664 | 1952 |
| 2 | 5442 | 1793 |
| 0 | 8518 | 1675 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- y 2) |
(- (+ x y) 2) |
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(/ -2 y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
-2 |
(- (* 2 x) 2) |
(+ y (* -1 x)) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (+ 1 (/ y x))) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* 2 x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* x (- (/ y x) 1)) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(- x 2) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (* 2 x) 2) y) |
(- y x) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y)))) |
(* y (+ 1 (/ x y))) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (/ x y) 1))) |
| Outputs |
|---|
(/ y (- y 2)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) x (/.f64 x (-.f64 y #s(literal 2 binary64))))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (*.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) x (/.f64 x (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))) x (-.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/ (- y 2) y) |
(/.f64 (-.f64 y #s(literal 2 binary64)) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) (/.f64 x y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
-2 |
#s(literal -2 binary64) |
(- (* 2 x) 2) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(+ y (* -1 x)) |
(-.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
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(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))) 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 (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 126 |
| 0 | 41 | 126 |
| 1 | 203 | 124 |
| 2 | 1713 | 124 |
| 0 | 8771 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 y x))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 y (-.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) |
(neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 y (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 x (-.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x))) |
(pow.f64 (/.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 2 binary64) (-.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 2 binary64) (-.f64 y x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 y x)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x)) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (/.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 y x))) (*.f64 (neg.f64 (-.f64 y x)) #s(literal -2 binary64))) (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (*.f64 (neg.f64 (-.f64 y x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 y x)) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 y x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 y x)) (/.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal -2 binary64))) (*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))) (neg.f64 (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y x)) (*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))) (-.f64 y x))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)) (*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 y (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (neg.f64 y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x #s(literal -4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.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))) |
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.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)))) #s(literal -1 binary64)) |
(/.f64 (neg.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 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.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 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.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))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) |
(-.f64 y x) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 14 602 to 2 267 computations (84.5% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 6 | 590 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 588 | 14 | 602 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 67.2% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 34.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 57.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 y #s(literal 2 binary64)) y))) | |
| ▶ | 43.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
| 57.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) | |
| ✓ | 43.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| ▶ | 41.4% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
| ▶ | 11.9% | #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))) |
| 12.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 40.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 368 to 275 computations (25.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 196 |
| 0 | 49 | 196 |
| 1 | 85 | 196 |
| 2 | 130 | 196 |
| 3 | 202 | 196 |
| 4 | 349 | 196 |
| 5 | 627 | 196 |
| 6 | 1490 | 196 |
| 7 | 3204 | 196 |
| 8 | 3675 | 196 |
| 9 | 4052 | 196 |
| 10 | 4109 | 196 |
| 11 | 4142 | 196 |
| 12 | 4147 | 196 |
| 13 | 4149 | 196 |
| 14 | 4269 | 196 |
| 15 | 4311 | 196 |
| 0 | 4311 | 192 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) |
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) |
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.07421875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 36.07633889768513 | #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) | |
| accuracy | 32.91693173607944 | #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 37.73787663431479 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 30.109401637687206 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 35.88273966601649 | #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 | 37.93785397597415 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 21.013221370837435 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
| 49.0ms | 256× | 0 | valid |
Compiled 132 to 30 computations (77.3% saved)
ival-div: 13.0ms (40.4% of total)ival-sub: 9.0ms (28% of total)ival-add: 5.0ms (15.5% of total)ival-mult: 4.0ms (12.4% of total)exact: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) |
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(/ -2 y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
-2 |
(- (* 2 x) 2) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* -1 x)) x) |
(* 2 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
(- (* 2 (/ 1 x)) 1) |
(- (* -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 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (* 2 x) 2) y) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (* 2 x)) |
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (* 2 x)) |
| 2.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (* 2 x)) |
| 2.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (* 2 x)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- 1 (/ (+ (* 2 x) -2) y)) (/ (+ (* 2 x) -2) y) (+ (* 2 x) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ 2 x) 1) (/ 2 x) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 509 | 2015 |
| 1 | 1608 | 1878 |
| 2 | 5301 | 1721 |
| 0 | 8541 | 1607 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(/ -2 y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
-2 |
(- (* 2 x) 2) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(/ 2 x) |
(/ (+ 2 (* -1 x)) x) |
(* 2 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* -2 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
(- (* 2 (/ 1 x)) 1) |
(- (* -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 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(/ (- 2 (* 2 x)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/ (- (* 2 x) 2) y) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.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 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* 2 (/ x y)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
-2 |
#s(literal -2 binary64) |
(- (* 2 x) 2) |
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) |
(/ y (- y 2)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(-.f64 (/.f64 y (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) x (/.f64 x (-.f64 y #s(literal 2 binary64))))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (*.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (-.f64 y #s(literal 2 binary64))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) x (/.f64 x (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))) x) (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/ (- y 2) y) |
(/.f64 (-.f64 y #s(literal 2 binary64)) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) (/.f64 x y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y)) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y))) x (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1 x)) x) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #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 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) (-.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(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)) |
(* 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)) |
(* -2 (/ x y)) |
(*.f64 (/.f64 #s(literal -2 binary64) y) x) |
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) x) |
(* x (- 2 (* 2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) y (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) |
(- (* 2 (/ 1 x)) 1) |
(/.f64 (-.f64 #s(literal 2 binary64) 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 y #s(literal 2 binary64)) #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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) |
(- (* -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 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) y) x)) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) y (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x)) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 y y) x) y)) x) (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64))) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.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 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 1 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 (fma.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.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))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(/ (- 2 (* 2 x)) y) |
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) |
(/ (- (+ 2 y) (* 2 x)) y) |
(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) y)) y) |
(/ (- (* 2 x) 2) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) |
(* -1 (/ x (- x 2))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 1 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 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.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 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1 (/ (- x 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 y x) #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) y (/.f64 (-.f64 #s(literal 2 binary64) x) 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 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y))) #s(literal 1 binary64)) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) y) y) |
(- (+ 1 (* 2 (/ 1 y))) (* 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 (/ 1 y)))) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) x) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (/.f64 x y) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))) y) (fma.f64 #s(literal -2 binary64) x #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))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y)) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))) y) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x x) y) x)) y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 182 |
| 0 | 49 | 182 |
| 1 | 250 | 182 |
| 2 | 2028 | 182 |
| 0 | 8352 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) |
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(*.f64 (-.f64 x y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 x (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) y))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
(+.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (neg.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)) |
(pow.f64 (/.f64 (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) y) |
(/.f64 (neg.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)))) |
(neg.f64 (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))) |
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 9 234 to 1 303 computations (85.9% saved)
16 alts after pruning (6 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 3 | 330 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 328 | 16 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 67.2% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 34.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 28.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 57.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 y #s(literal 2 binary64)) y))) | |
| ✓ | 43.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
| ▶ | 57.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| ✓ | 43.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
| ✓ | 41.4% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
| ✓ | 11.9% | #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))) |
| ▶ | 3.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
| ▶ | 12.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| ✓ | 40.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 378 to 281 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (-.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 230 |
| 0 | 47 | 230 |
| 1 | 75 | 230 |
| 2 | 97 | 230 |
| 3 | 142 | 230 |
| 4 | 260 | 230 |
| 5 | 453 | 230 |
| 6 | 926 | 230 |
| 7 | 1767 | 230 |
| 8 | 2101 | 230 |
| 9 | 2502 | 230 |
| 10 | 3025 | 230 |
| 11 | 3475 | 230 |
| 12 | 3560 | 230 |
| 13 | 3606 | 230 |
| 14 | 3622 | 230 |
| 15 | 3622 | 230 |
| 0 | 3622 | 222 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(-.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(-.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) | |
| accuracy | 0.0 | (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) | |
| accuracy | 41.8899855963869 | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 21.013221370837435 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 30.576307076547334 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) | |
| accuracy | 30.109401637687206 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) | |
| accuracy | 32.85340451558253 | #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) | |
| accuracy | 35.88273966601649 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 29.87334796013364 | #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 30.109401637687206 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 35.88273966601649 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) | |
| accuracy | 0.0 | (-.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y #s(literal 2 binary64))) | |
| accuracy | 27.013198832642082 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| 44.0ms | 256× | 0 | valid |
Compiled 138 to 25 computations (81.9% saved)
ival-sub: 8.0ms (33.7% of total)ival-div: 6.0ms (25.2% of total)ival-add: 4.0ms (16.8% of total)ival-mult: 4.0ms (16.8% of total)exact: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(-.f64 y #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
| 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 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 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) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(- (* 2 y) 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 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 (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* 2 y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2)) |
| 2.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (- y 2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* 2 y) -2) x) 1) (/ (+ (* 2 y) -2) x) (+ (* 2 y) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 1009 |
| 1 | 877 | 965 |
| 2 | 2604 | 894 |
| 0 | 8469 | 842 |
| 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 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(/ (- (* 2 y) 2) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 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) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(/ -2 x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(- (* 2 y) 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 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 (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* 2 (/ y x)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(* 2 y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 x (-.f64 #s(literal 2 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y))) |
(* 1/2 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 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) |
(/ (- (* 2 y) 2) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(/ (- (+ (* -1 x) (* 2 y)) 2) x) |
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) |
-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) x) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) 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))))) |
(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)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(- (* -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 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.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)) |
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)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #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)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -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)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(- (* 2 (/ y x)) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(- (* 2 y) 2) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (-.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))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) y y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y)) y) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (- 2 (* 2 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
(+ 1 (* -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 (- (* 2 (/ 1 y)) 1))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) 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 (* 2 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) y y)) |
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y #s(literal -1 binary64)) |
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))) y) |
(* -1 (* y (- (* 2 (/ 1 y)) 2))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 213 |
| 0 | 47 | 213 |
| 1 | 198 | 213 |
| 2 | 1462 | 213 |
| 0 | 8710 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(-.f64 y #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x) |
#s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 y (pow.f64 (+.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))) (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) x) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))) x) (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 y #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 y #s(literal -4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 #s(literal 4 binary64) (*.f64 y #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 y #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) |
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) |
Compiled 11 235 to 1 444 computations (87.1% saved)
16 alts after pruning (3 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 364 | 3 | 367 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 367 | 16 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 67.2% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 34.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 28.3% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| ✓ | 43.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 57.8% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| ✓ | 43.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 34.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) | |
| ✓ | 41.4% | #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
| 18.8% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| 19.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) | |
| ✓ | 11.9% | #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))) |
| ✓ | 12.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| ✓ | 40.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 34.3% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 674 to 317 computations (53% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 y #s(literal 2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 11.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 8.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | x |
| 80.9% | 3 | y |
| 99.1% | 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 (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* 2 y) -2) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.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))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 61.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 25.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 5 | x |
| 88.8% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | y |
| 73.4% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.3% | 1 | x |
| 34.3% | 1 | y |
| 34.3% | 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 | -0.999999001304361 | -2.5845764523616526e-7 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.57148664904637e-13 | 3.378596473786584e-7 |
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011624527053645256 | 0.9999975566209023 |
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011624527053645256 | 0.9999975566209023 |
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00011624527053645256 | 0.9999975566209023 |
| 0.0ms | -2.5845764523616526e-7 | -2.114149229540041e-12 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.57148664904637e-13 | 3.378596473786584e-7 |
| 0.0ms | -0.999999001304361 | -2.5845764523616526e-7 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -3.864625142789473e-279 | 4.106569670657232e-259 |
| 7.0ms | 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 | 72 | 518 |
| 1 | 97 | 518 |
| 2 | 132 | 518 |
| 3 | 190 | 518 |
| 4 | 320 | 518 |
| 5 | 543 | 518 |
| 6 | 1049 | 518 |
| 7 | 3611 | 518 |
| 8 | 6531 | 518 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 1009 |
| 1 | 877 | 965 |
| 2 | 2604 | 894 |
| 0 | 8469 | 842 |
| 0 | 527 | 2106 |
| 1 | 1664 | 1952 |
| 2 | 5442 | 1793 |
| 0 | 8518 | 1675 |
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 0 | 509 | 2015 |
| 1 | 1608 | 1878 |
| 2 | 5301 | 1721 |
| 0 | 8541 | 1607 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 621 to 205 computations (67% saved)
Compiled 1 084 to 176 computations (83.8% saved)
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