
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 79.7% | 79.6% | 20.3% | 0.1% | 0% | 0% | 0% | 7 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 8 |
| 90.2% | 90.1% | 9.8% | 0.1% | 0% | 0% | 0% | 9 |
| 92% | 91.9% | 8% | 0.1% | 0% | 0% | 0% | 10 |
| 95.2% | 95.1% | 4.8% | 0.1% | 0% | 0% | 0% | 11 |
| 96% | 96% | 4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 501.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 143.0ms (44% of total)ival-div: 85.0ms (26.1% of total)ival-sub: 83.0ms (25.5% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 60.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 82 to 32 computations (61% saved)
ival-sub: 41.0ms (85.8% of total)ival-div: 3.0ms (6.3% of total)ival-add: 3.0ms (6.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 52.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-sub: 3.0ms (50.3% of total)ival-div: 2.0ms (33.5% of total)ival-add: 1.0ms (16.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (-.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))) |
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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)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 631 | 9 | 640 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 631 | 10 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 87.5% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| 58.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 41.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 46.6% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 44.7% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 44.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 57.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 36.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 41.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 259 to 189 computations (27% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| cost-diff | 896 | (fma.f64 (/.f64 y x) x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 148 |
| 0 | 42 | 151 |
| 1 | 71 | 151 |
| 2 | 106 | 146 |
| 3 | 176 | 136 |
| 4 | 353 | 136 |
| 5 | 808 | 136 |
| 6 | 2850 | 136 |
| 7 | 4833 | 136 |
| 8 | 6386 | 136 |
| 9 | 6621 | 136 |
| 10 | 6732 | 136 |
| 11 | 6919 | 136 |
| 12 | 7643 | 136 |
| 0 | 8068 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (-.f64 y x) (-.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 2 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (+.f64 y x))) |
#s(literal 2 binary64) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (+.f64 y x)) |
(fma.f64 (/.f64 y x) x x) |
(+.f64 y x) |
(/.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 35.61737419484376 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 37.17612126456277 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0234375 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 27.069884167430164 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 37.32752136073277 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) | |
| accuracy | 7.7315241395479575 | (fma.f64 (/.f64 y x) x x) |
| 36.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 258 to 44 computations (82.9% saved)
ival-div: 5.0ms (32.6% of total)ival-sub: 4.0ms (26.1% of total)ival-add: 2.0ms (13% of total)ival-mult: 2.0ms (13% of total)ival-neg: 2.0ms (13% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
| Outputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ y x) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 806 |
| 1 | 704 | 763 |
| 2 | 2135 | 696 |
| 0 | 8421 | 653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(* -1 x) |
x |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
| Outputs |
|---|
y |
(+ x y) |
(+.f64 x y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/4 x))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.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 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ 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) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (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)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 128 |
| 0 | 42 | 128 |
| 1 | 165 | 128 |
| 2 | 1258 | 116 |
| 0 | 8854 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y x) x x) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y 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 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 #s(literal -1 binary64) x y)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (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))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) x) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (fma.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (neg.f64 (*.f64 y y)))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) y (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 y y)))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) y)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (neg.f64 (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) y (*.f64 (+.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 y y)))) (*.f64 (+.f64 #s(literal 2 binary64) x) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (+.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 y y)))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (neg.f64 (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) y)) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(neg.f64 (+.f64 #s(literal -2 binary64) (+.f64 x y))) |
(fma.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 2 binary64) x))) (neg.f64 y)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) (neg.f64 y)) |
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x y)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #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) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x y) #s(literal 1 binary64))) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 x)) |
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) |
(+.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64)) |
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ x y) (+.f64 x y)))) |
#s(approx (+ x y) (+.f64 x y)) |
(neg.f64 (neg.f64 #s(approx (+ x y) (+.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ x y) (+.f64 x y)))) |
Compiled 19 979 to 2 260 computations (88.7% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 2 | 689 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 688 | 11 | 699 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.5% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ▶ | 58.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 41.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 44.7% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 44.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 57.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 17.2% | #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))) |
| ▶ | 17.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 36.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 235 to 171 computations (27.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 148 |
| 0 | 37 | 148 |
| 1 | 59 | 148 |
| 2 | 86 | 148 |
| 3 | 135 | 148 |
| 4 | 256 | 148 |
| 5 | 462 | 148 |
| 6 | 939 | 148 |
| 7 | 1830 | 148 |
| 8 | 2066 | 148 |
| 9 | 2151 | 148 |
| 10 | 2169 | 148 |
| 11 | 2182 | 148 |
| 12 | 2182 | 148 |
| 0 | 2182 | 148 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
y |
(+.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
y |
(+.f64 #s(literal -2 binary64) y) |
(-.f64 y #s(literal 2 binary64)) |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 35.65813579372268 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 27.069884167430164 | #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 | 33.22845450949262 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 27.069884167430164 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 33.2186667670404 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 40.95987165115491 | #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 | 0.0078125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 26.549284784778134 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
| 56.0ms | 253× | 0 | valid |
| 1.0ms | 3× | 2 | valid |
Compiled 250 to 51 computations (79.6% saved)
ival-mult: 7.0ms (32.8% of total)ival-div: 5.0ms (23.4% of total)ival-sub: 5.0ms (23.4% of total)ival-add: 4.0ms (18.7% of total)exact: 1.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* 1/2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 903 |
| 1 | 788 | 860 |
| 2 | 2314 | 791 |
| 0 | 8632 | 740 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-2 |
(- y 2) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
y |
(* y (- 1 (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (- (* 2 (/ 1 y)) 1))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 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 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(* -1 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 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
x |
(* 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 #s(literal -1 binary64) (/.f64 y x)) x #s(literal 2 binary64)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
-2 |
#s(literal -2 binary64) |
(- y 2) |
(-.f64 y #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(+ 1 (* 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) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(+ 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 137 |
| 0 | 37 | 137 |
| 1 | 154 | 137 |
| 2 | 1129 | 137 |
| 0 | 8424 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+.f64 #s(literal -2 binary64) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (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 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.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 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (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))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.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 #s(literal 1 binary64) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))))))) |
(*.f64 (-.f64 (*.f64 x #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 #s(literal 1 binary64) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (+.f64 y x)))) |
(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(*.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 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y)) #s(literal -1 binary64)) |
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(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) |
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) |
(+.f64 #s(literal -2 binary64) y) |
(+.f64 y #s(literal -2 binary64)) |
Compiled 13 156 to 1 670 computations (87.3% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 3 | 454 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 451 | 14 | 465 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.5% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 58.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 41.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 23.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 44.7% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 44.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 57.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 9.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| ▶ | 9.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 17.2% | #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))) |
| ✓ | 17.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 36.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 211 to 154 computations (27% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 117 |
| 0 | 30 | 117 |
| 1 | 49 | 117 |
| 2 | 74 | 117 |
| 3 | 124 | 117 |
| 4 | 245 | 117 |
| 5 | 428 | 117 |
| 6 | 881 | 117 |
| 7 | 1685 | 117 |
| 8 | 1896 | 117 |
| 9 | 1963 | 117 |
| 10 | 1969 | 117 |
| 11 | 1977 | 117 |
| 12 | 1977 | 117 |
| 0 | 1977 | 117 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
#s(literal -1/4 binary64) |
y |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 26.549284784778134 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 30.771766102603337 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| accuracy | 31.24253964054889 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| accuracy | 35.65813579372268 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 30.77105472728723 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 35.65813579372268 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| 49.0ms | 253× | 0 | valid |
| 1.0ms | 3× | 2 | valid |
Compiled 190 to 44 computations (76.8% saved)
ival-sub: 25.0ms (62.9% of total)ival-add: 6.0ms (15.1% of total)ival-mult: 4.0ms (10.1% of total)ival-div: 3.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(/.f64 (-.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)) |
| 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 (/ 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 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y)) |
| 0.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y)) |
| 0.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 772 |
| 1 | 679 | 734 |
| 2 | 2132 | 668 |
| 0 | 8470 | 626 |
| 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 (/ 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 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(* -1/2 y) |
(* y (- (* -1/4 y) 1/2)) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
-1/2 |
(- (* -1/4 y) 1/2) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (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) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
x |
(* 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 (* 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) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 y) 1/2) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(+ 1 (* 2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) y))) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* -1/4 y) |
(*.f64 #s(literal -1/4 binary64) y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* y (- (* 2 (/ 1 y)) 1)) |
(-.f64 #s(literal 2 binary64) y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y)) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(-.f64 #s(literal 2 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 109 |
| 0 | 30 | 109 |
| 1 | 132 | 109 |
| 2 | 989 | 109 |
| 0 | 8496 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(/.f64 (-.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)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(*.f64 y (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y)) (fma.f64 #s(literal 1/4 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/4 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y)))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))) (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (*.f64 y (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y)))))) |
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) y) #s(literal 1/8 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/8 binary64) y))) #s(literal -1 binary64))) |
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(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(neg.f64 (-.f64 y x)) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.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)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x 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)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.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 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 y x)) (/.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 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.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)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x 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)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(*.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
Compiled 9 898 to 1 059 computations (89.3% saved)
14 alts after pruning (0 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 0 | 300 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 11 | 11 |
| Total | 300 | 14 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 87.5% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
| ✓ | 58.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 41.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 23.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 44.7% | (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 44.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 57.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 9.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| ✓ | 9.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 17.2% | #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))) |
| ✓ | 17.4% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 36.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 41.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 442 to 225 computations (49.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 8.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 3 | x |
| 81.3% | 3 | y |
| 98.2% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 30.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 3 | y |
| 66.7% | 3 | x |
| 76.0% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.7% | 1 | y |
| 41.7% | 1 | x |
| 41.7% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.3568602632964302 | -0.017082102008952584 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8667698264174565e-7 | 0.9999999655405412 |
| 0.0ms | -0.003794987087762173 | -6.268152649494675e-5 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3584665457149894e-35 | 1.0903503821482517e-17 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8667698264174565e-7 | 0.9999999655405412 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8667698264174565e-7 | 0.9999999655405412 |
| 0.0ms | -0.017082102008952584 | -0.003794987087762173 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8667698264174565e-7 | 0.9999999655405412 |
| 0.0ms | -1.0933996071998986e-9 | -2.769152197061857e-10 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | -2.127323917678278e-252 | 5.705388270250539e-245 |
| 26.0ms | 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 | 64 | 376 |
| 1 | 85 | 376 |
| 2 | 114 | 376 |
| 3 | 163 | 376 |
| 4 | 279 | 376 |
| 5 | 492 | 376 |
| 6 | 1005 | 376 |
| 7 | 3220 | 376 |
| 8 | 6508 | 376 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1152921504606847/576460752303423488 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 4722366482869645/9444732965739290427392 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 4676805239458889/93536104789177786765035829293842113257979682750464 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/576460752303423488 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4835703278458517/4835703278458516698824704 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4722366482869645/9444732965739290427392 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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1152921504606847/576460752303423488 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 4722366482869645/9444732965739290427392 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 4676805239458889/93536104789177786765035829293842113257979682750464 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/576460752303423488 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4835703278458517/4835703278458516698824704 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4722366482869645/9444732965739290427392 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 -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 | 265 | 903 |
| 1 | 788 | 860 |
| 2 | 2314 | 791 |
| 0 | 8632 | 740 |
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1824 | 598 |
| 3 | 7811 | 592 |
| 0 | 8774 | 556 |
| 0 | 229 | 806 |
| 1 | 704 | 763 |
| 2 | 2135 | 696 |
| 0 | 8421 | 653 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 449 to 154 computations (65.7% saved)
Compiled 800 to 160 computations (80% saved)
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