
Time bar (total: 5.5s)
| 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)
| 491.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 104.0ms (34.1% of total)ival-sub: 93.0ms (30.5% of total)ival-add: 92.0ms (30.2% of total)ival-true: 7.0ms (2.3% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% 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 |
| 28.0ms | 512× | 0 | valid |
Compiled 105 to 42 computations (60% saved)
ival-sub: 6.0ms (45% of total)ival-div: 4.0ms (30% of total)ival-add: 3.0ms (22.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 494 | 45 |
| 4 | 1095 | 45 |
| 5 | 1632 | 45 |
| 6 | 1885 | 45 |
| 7 | 1991 | 45 |
| 8 | 2049 | 45 |
| 9 | 2062 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 346 | 9 |
| 6 | 616 | 9 |
| 7 | 904 | 9 |
| 8 | 948 | 9 |
| 9 | 964 | 9 |
| 10 | 965 | 9 |
| 0 | 965 | 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 | 346 | 23 |
| 6 | 616 | 23 |
| 7 | 904 | 23 |
| 8 | 948 | 23 |
| 9 | 964 | 23 |
| 10 | 965 | 23 |
| 0 | 965 | 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 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-sub: 3.0ms (50.4% of total)ival-div: 2.0ms (33.6% of total)ival-add: 1.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | 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 | 1810 | 598 |
| 3 | 7608 | 592 |
| 0 | 8566 | 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)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 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 (/ 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 | 7752 | 20 |
| 0 | 8474 | 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 (-.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 (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 (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 1 882 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))) |
| 61.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ▶ | 40.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 58.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| ▶ | 91.2% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 84.4% | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 47.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 54.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 33.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 40.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 265 to 189 computations (28.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 y (neg.f64 x)) x x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 171 |
| 0 | 44 | 175 |
| 1 | 72 | 175 |
| 2 | 120 | 147 |
| 3 | 227 | 147 |
| 4 | 507 | 147 |
| 5 | 1786 | 147 |
| 6 | 5510 | 147 |
| 0 | 8159 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#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) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
#s(approx (- x y) (-.f64 x y)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(-.f64 x y) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
#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) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (- x y) (-.f64 x y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(-.f64 x y) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 9.689651628981643 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 37.939605971482365 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 29.213700035156094 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 38.332513832426365 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 5.462247240191654 | (fma.f64 (/.f64 y (neg.f64 x)) x x) |
| 39.0ms | 256× | 0 | valid |
Compiled 299 to 49 computations (83.6% saved)
ival-div: 7.0ms (32.6% of total)ival-sub: 7.0ms (32.6% of total)ival-mult: 3.0ms (14% of total)ival-add: 2.0ms (9.3% of total)ival-neg: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(/.f64 y (neg.f64 x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(* -1 y) |
(+ x (* -1 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))))) |
(- x y) |
(* -1 (/ y x)) |
(* 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)) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
-1 |
(- (/ x y) 1) |
y |
(+ x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (/ y x) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -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))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(/ (+ x (* -1 y)) y) |
(* y (- (/ x y) 1)) |
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 (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ 1 (* -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 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (* (- (/ x y) 1) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- (/ x y) 1) (+ x y)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (* (- (/ x y) 1) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- (/ x y) 1) (+ x y)) |
| 2.0ms | x | @ | inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (* (- (/ x y) 1) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- (/ x y) 1) (+ x y)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (* (- (/ x y) 1) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- (/ x y) 1) (+ x y)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (* (- (/ x y) 1) y) (/ (- x y) (- 2 (+ x y))) (- x y) (- (/ x y) 1) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 767 |
| 1 | 719 | 734 |
| 2 | 2174 | 667 |
| 0 | 8549 | 628 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(+ x (* -1 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))))) |
(- x y) |
(* -1 (/ y x)) |
(* 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)) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
-1 |
(- (/ x y) 1) |
y |
(+ x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (/ y x) 1))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -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))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(/ (+ x (* -1 y)) y) |
(* y (- (/ x y) 1)) |
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 (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ 1 (* -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 (/ (- 2 x) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(* -1 y) |
(neg.f64 y) |
(+ x (* -1 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))) |
(- x y) |
(-.f64 x y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 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) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
y |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(- (* 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 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(- (* -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 (/ (+ 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 #s(literal 2 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (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 (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 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 (/ (- 2 x) y))))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 141 |
| 0 | 44 | 141 |
| 1 | 172 | 141 |
| 2 | 1291 | 141 |
| 0 | 8219 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(/.f64 y (neg.f64 x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x 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) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
Compiled 15 585 to 2 062 computations (86.8% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 572 | 2 | 574 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 573 | 11 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 61.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 40.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 58.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| ✓ | 91.2% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 47.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ▶ | 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 33.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 40.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 258 to 181 computations (29.8% 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 | 456 | 148 |
| 6 | 933 | 148 |
| 7 | 1765 | 148 |
| 8 | 1991 | 148 |
| 9 | 2078 | 148 |
| 10 | 2096 | 148 |
| 11 | 2109 | 148 |
| 12 | 2109 | 148 |
| 0 | 2109 | 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 | (+.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 y (+.f64 #s(literal -2 binary64) y)) | |
| accuracy | 33.474706335529916 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 29.213700035156094 | #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 | 33.12448348570849 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 29.213700035156094 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 32.47439275596486 | #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 42.475569213778094 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| accuracy | 24.91515677037723 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
| 77.0ms | 256× | 0 | valid |
Compiled 250 to 51 computations (79.6% saved)
ival-sub: 5.0ms (26.7% of total)ival-div: 5.0ms (26.7% of total)ival-add: 4.0ms (21.4% of total)ival-mult: 4.0ms (21.4% of total)exact: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 2 binary64) y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #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 | @ | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 903 |
| 1 | 788 | 860 |
| 2 | 2300 | 791 |
| 0 | 8462 | 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 | 8468 | 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 (-.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))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 y (pow.f64 (-.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) y)) |
(*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(*.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(*.f64 y (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) y) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) y)) |
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) y) y)) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y)))) |
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -2 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64))) |
(fma.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -2 binary64) y) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -2 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (-.f64 y #s(literal -2 binary64))))) |
(*.f64 (fma.f64 y y #s(literal -4 binary64)) (pow.f64 (-.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y)) (pow.f64 (-.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (neg.f64 (pow.f64 (-.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(*.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) y)) |
(pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) (+.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) (*.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -4 binary64))) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (*.f64 (-.f64 #s(literal -2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal -2 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -4 binary64)) (-.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y)) (-.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal -2 binary64) y)) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -2 binary64)) (fma.f64 y y #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))) (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 2 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -2 binary64)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -2 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal -2 binary64) y))) |
(-.f64 (/.f64 #s(literal -4 binary64) (-.f64 y #s(literal -2 binary64))) (/.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 y #s(literal -2 binary64))) (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 12 424 to 1 598 computations (87.1% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 3 | 430 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 4 | 5 |
| Total | 428 | 13 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 61.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 40.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 29.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ▶ | 58.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
| ✓ | 47.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 15.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| ▶ | 16.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 33.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 40.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 200 to 144 computations (28% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) | |
| cost-diff | 0 | (*.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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 164 |
| 0 | 42 | 164 |
| 1 | 83 | 164 |
| 2 | 186 | 158 |
| 3 | 407 | 156 |
| 4 | 872 | 156 |
| 5 | 2843 | 156 |
| 6 | 7304 | 156 |
| 0 | 8304 | 156 |
| 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(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 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.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 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (-.f64 y x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.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 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) | |
| accuracy | 24.91515677037723 | #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) | |
| accuracy | 27.787933327420713 | #s(approx (- 2 y) #s(literal 2 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) | |
| accuracy | 25.9221851000897 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) | |
| accuracy | 28.125992486115823 | #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) | |
| accuracy | 33.474706335529916 | #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 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 27.798281901912514 | #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 33.474706335529916 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| 39.0ms | 256× | 0 | valid |
Compiled 284 to 56 computations (80.3% saved)
ival-mult: 7.0ms (29.7% of total)ival-sub: 6.0ms (25.4% of total)ival-div: 5.0ms (21.2% of total)ival-add: 5.0ms (21.2% of total)exact: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #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 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(-.f64 y x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
y |
(+ x y) |
(+ y (* -1 x)) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) x)))) x)))) |
(/ 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) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(- y x) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* (- (+ y x) 2) (+ y x))) |
| 2.0ms | 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) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* (- (+ y x) 2) (+ y x))) |
| 2.0ms | 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) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* (- (+ y x) 2) (+ y x))) |
| 1.0ms | 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) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* (- (+ y x) 2) (+ y x))) |
| 1.0ms | 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) (/ (* (+ y x) (- y x)) (* (- (+ y x) 2) (+ y x))) (* (+ y x) (- y x)) (+ y x) (- y x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* (- (+ y x) 2) (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 1786 |
| 1 | 1483 | 1639 |
| 2 | 4896 | 1508 |
| 0 | 8579 | 1414 |
| 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))))) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
y |
(+ x y) |
(+ y (* -1 x)) |
(* -1 y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(* y (- y 2)) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) x)))) x)))) |
(/ 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) |
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(- y x) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
2 |
(+ 2 (* -1 y)) |
(* x (- x 2)) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(+ 1 (* 2 (/ 1 y))) |
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2)))) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(* -1/4 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y))))) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y))))) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (/ x y) 1)) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) 1)) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
| Outputs |
|---|
(* -1 (/ y (- 2 y))) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* -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 (-.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/ y (- y 2)) |
(/.f64 y (-.f64 y #s(literal 2 binary64))) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (*.f64 (+.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (-.f64 y #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) x (/.f64 x (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))) x (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(pow y 2) |
(*.f64 y y) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(*.f64 y y) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
y |
(+ x y) |
(+.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(* y (- y 2)) |
(*.f64 (-.f64 y #s(literal 2 binary64)) y) |
(+ (* x (- (* 2 y) 2)) (* y (- y 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x (*.f64 (-.f64 y #s(literal 2 binary64)) y)) |
(+ (* x (- (+ x (* 2 y)) 2)) (* y (- y 2))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) x (*.f64 (-.f64 y #s(literal 2 binary64)) 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)))) |
(-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- (+ 1 (* 2 (/ y x))) (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x)) |
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (/ (* y (- y 2)) (pow x 2)))) (* 2 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) (neg.f64 y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 y #s(literal 2 binary64)))) x) (-.f64 y #s(literal 2 binary64))) y) x)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (- y 2))) x)))) |
(*.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (- y 2)) (* -1 (/ (* y (- y 2)) x)))) x)))) |
(*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) y (fma.f64 #s(literal 2 binary64) y #s(literal -2 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))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #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 (-.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (/.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))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* -1/4 y) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64)) y #s(literal -1/4 binary64)) y #s(literal -1/2 binary64)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 y) 1/2) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(* -1 (/ x (- x 2))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #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))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(- y x) |
(-.f64 y 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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 y)) |
(-.f64 #s(literal 2 binary64) y) |
(* x (- x 2)) |
(*.f64 (-.f64 x #s(literal 2 binary64)) x) |
(+ (* x (- x 2)) (* y (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y (*.f64 (-.f64 x #s(literal 2 binary64)) x)) |
(+ (* x (- x 2)) (* y (- (+ y (* 2 x)) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 y #s(literal 2 binary64))) y (*.f64 (-.f64 x #s(literal 2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #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 x #s(literal 2 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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) |
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(* -1/4 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) y) y) |
(* -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)) |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) y) (-.f64 x #s(literal 2 binary64)) (/.f64 x y))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) 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 (- (* 2 (/ 1 y)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) |
(* (pow y 2) (- (+ 1 (* 2 (/ x y))) (* 2 (/ 1 y)))) |
(*.f64 y (fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) y)) |
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (/ (* x (- x 2)) (pow y 2)))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (*.f64 y y)) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y))) 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 #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y)))) y)) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) y) #s(literal 4 binary64)) y)) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y))) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) y)))) y)) y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) y (neg.f64 y)) |
(* -1 (* y (- 1 (* 2 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (neg.f64 y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (- x 2))) y)))) |
(*.f64 y (fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (+ (* -1 (- x 2)) (* -1 (/ (* x (- x 2)) y)))) y)))) |
(*.f64 y (fma.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 0 | 42 | 148 |
| 1 | 201 | 140 |
| 2 | 1806 | 140 |
| 0 | 8298 | 140 |
| 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 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(-.f64 y x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))) |
#s(approx (- 2 y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x)) |
| 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 (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 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.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 #s(literal -1/4 binary64) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) (*.f64 (*.f64 #s(literal -1/4 binary64) y) y)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 #s(literal -1/4 binary64) y) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.f64 y (*.f64 #s(literal -1/4 binary64) y))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y (*.f64 #s(literal -1/4 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y)) (neg.f64 (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 y #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (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 y #s(literal 1/8 binary64)))))) |
(/.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 y #s(literal 1/8 binary64))))) |
(/.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 y #s(literal 1/8 binary64))))) |
(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 #s(literal -1/4 binary64) y) y)) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (*.f64 #s(literal -1/4 binary64) y))) |
(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 #s(literal -1/4 binary64) y) y)) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (*.f64 #s(literal -1/4 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) y) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 y (*.f64 #s(literal -1/4 binary64) y)) (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 #s(literal -1/4 binary64) y) y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y (*.f64 #s(literal -1/4 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 (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 y #s(literal 1/8 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/8 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 y y))) (-.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))) (neg.f64 (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))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (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 y #s(literal 1/8 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) (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 y #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) #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)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (*.f64 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)) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/8 binary64))))) |
(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) y))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) y)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 y x) (+.f64 (+.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 y x) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 x y) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (+.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (+.f64 #s(literal 2 binary64) y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (fma.f64 (+.f64 y x) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y x)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x)) |
(fma.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) |
(fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) (-.f64 x #s(literal 2 binary64)))) |
(fma.f64 y (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x)) |
(fma.f64 y (+.f64 y x) (*.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 y x))) |
(fma.f64 x (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x)))) |
(+.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) (-.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) x)) |
(+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 y x))) |
(+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal -2 binary64))) |
(+.f64 (*.f64 y (+.f64 y x)) (*.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 y x))) |
Compiled 22 071 to 2 356 computations (89.3% saved)
13 alts after pruning (0 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 0 | 683 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 9 | 9 |
| Total | 683 | 13 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 61.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
| ✓ | 40.6% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 29.1% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) |
| ✓ | 58.9% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
| ✓ | 47.7% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
| ✓ | 54.3% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 15.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) |
| ✓ | 16.0% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
| ✓ | 15.9% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 16.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 33.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 40.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 434 to 215 computations (50.5% 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 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 10.0ms | 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))) |
| 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 |
|---|---|---|
| 88.5% | 3 | x |
| 76.6% | 3 | y |
| 99.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ 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:
| 20.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ 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:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 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(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 5 | x |
| 89.9% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ 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(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 5 | (/.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(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 5 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 34.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 3 | y |
| 72.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | y |
| 40.1% | 1 | x |
| 40.1% | 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 | -1.895026076269732e-13 | -5.80538525424926e-20 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5676205309477773e-15 | 1.0930186563864046e-13 |
| 0.0ms | -1.895026076269732e-13 | -5.80538525424926e-20 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.813366566416773e-127 | -1.8566282937051795e-127 |
Compiled 12 to 12 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5676205309477773e-15 | 1.0930186563864046e-13 |
| 0.0ms | 1.439928701887728e-67 | 9.852578749422904e-51 |
| 0.0ms | -8.813366566416773e-127 | -1.8566282937051795e-127 |
Compiled 12 to 12 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5676205309477773e-15 | 1.0930186563864046e-13 |
| 0.0ms | 1.439928701887728e-67 | 9.852578749422904e-51 |
| 0.0ms | -8.813366566416773e-127 | -1.8566282937051795e-127 |
| 0.0ms | -0.9985287076513695 | -0.02651471562162396 |
Compiled 12 to 12 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5676205309477773e-15 | 1.0930186563864046e-13 |
| 0.0ms | 1.439928701887728e-67 | 9.852578749422904e-51 |
| 0.0ms | -8.813366566416773e-127 | -1.8566282937051795e-127 |
| 0.0ms | -0.9985287076513695 | -0.02651471562162396 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5676205309477773e-15 | 1.0930186563864046e-13 |
| 0.0ms | -0.9985287076513695 | -0.02651471562162396 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -1.1580680731542933e-263 | 3.346657925233746e-211 |
| 4.0ms | 208× | 0 | valid |
Compiled 298 to 272 computations (8.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 626 |
| 1 | 89 | 626 |
| 2 | 101 | 626 |
| 3 | 109 | 626 |
| 4 | 112 | 626 |
| 1× | saturated |
| 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 -3961408125713217/39614081257132168796771975168 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 -3961408125713217/39614081257132168796771975168 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 6338253001141147/1267650600228229401496703205376 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 -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6338253001141147/1267650600228229401496703205376 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 -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3961408125713217/39614081257132168796771975168 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 y x))) #s(literal -3961408125713217/39614081257132168796771975168 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 -3961408125713217/39614081257132168796771975168 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 6338253001141147/1267650600228229401496703205376 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 y x))) #s(literal -3961408125713217/39614081257132168796771975168 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 y x))) #s(literal 6338253001141147/1267650600228229401496703205376 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 -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 y x))) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 6338253001141147/1267650600228229401496703205376 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 y x))) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 y x))) #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 6338253001141147/1267650600228229401496703205376 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))))) |
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(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 | 235 | 767 |
| 1 | 719 | 734 |
| 2 | 2174 | 667 |
| 0 | 8549 | 628 |
| 0 | 186 | 704 |
| 1 | 572 | 662 |
| 2 | 1810 | 598 |
| 3 | 7608 | 592 |
| 0 | 8566 | 556 |
| 0 | 265 | 903 |
| 1 | 788 | 860 |
| 2 | 2300 | 791 |
| 0 | 8462 | 740 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 721 to 199 computations (72.4% saved)
Compiled 1 300 to 182 computations (86% saved)
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