
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 13 to 12 computations (7.7% saved)
| 748.0ms | 8 256× | 0 | valid |
ival-mult: 174.0ms (33.3% of total)const: 162.0ms (31% of total)ival-sub: 127.0ms (24.3% of total)ival-add: 41.0ms (7.8% of total)exact: 9.0ms (1.7% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 918938533204673/1000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 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 |
| 20.0ms | 256× | 0 | valid |
Compiled 121 to 58 computations (52.1% saved)
const: 4.0ms (34.4% of total)ival-sub: 3.0ms (25.8% of total)ival-mult: 3.0ms (25.8% of total)ival-add: 1.0ms (8.6% 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 | 24 | 61 |
| 1 | 75 | 59 |
| 2 | 196 | 55 |
| 3 | 617 | 49 |
| 4 | 1512 | 45 |
| 5 | 2805 | 45 |
| 6 | 3394 | 45 |
| 7 | 3511 | 45 |
| 8 | 3531 | 45 |
| 9 | 3533 | 45 |
| 10 | 3535 | 45 |
| 11 | 3555 | 45 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 30 | 11 |
| 2 | 58 | 11 |
| 3 | 116 | 9 |
| 4 | 218 | 9 |
| 5 | 447 | 9 |
| 6 | 852 | 9 |
| 7 | 1252 | 9 |
| 8 | 1489 | 9 |
| 9 | 1510 | 9 |
| 0 | 1510 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 15 | 36 |
| 1 | 30 | 36 |
| 2 | 58 | 36 |
| 3 | 116 | 32 |
| 4 | 218 | 32 |
| 5 | 447 | 32 |
| 6 | 852 | 32 |
| 7 | 1252 | 32 |
| 8 | 1489 | 32 |
| 9 | 1510 | 32 |
| 0 | 1510 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 142.0ms | 256× | 0 | valid |
Compiled 74 to 22 computations (70.3% saved)
ival-sub: 123.0ms (93.1% of total)const: 4.0ms (3% of total)ival-mult: 3.0ms (2.3% of total)ival-add: 1.0ms (0.8% 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 (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* 1/2 y) |
(* y (- x 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | x | @ | inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | x | @ | -inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | y | @ | inf | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1.0ms | x | @ | 0 | ((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 181 |
| 1 | 232 | 180 |
| 2 | 695 | 156 |
| 3 | 1800 | 156 |
| 4 | 6371 | 156 |
| 0 | 8162 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* 1/2 y) |
(* y (- x 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- (* x (- y 1)) (* 1/2 y)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 69 | 31 |
| 2 | 520 | 31 |
| 3 | 7720 | 31 |
| 0 | 8249 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y #s(literal 1/2 binary64)) |
Compiled 11 351 to 1 381 computations (87.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 6 | 396 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 391 | 6 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))) | |
| ▶ | 78.3% | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ▶ | 54.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 100.0% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
| ▶ | 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
Compiled 180 to 150 computations (16.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) | |
| cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 192 | (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 38 | 150 |
| 1 | 73 | 144 |
| 2 | 122 | 142 |
| 3 | 267 | 135 |
| 4 | 576 | 135 |
| 5 | 1112 | 135 |
| 6 | 1434 | 135 |
| 7 | 1577 | 135 |
| 8 | 1587 | 135 |
| 0 | 1587 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
| Outputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) | |
| accuracy | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| accuracy | 22.380304919667992 | #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 28.992524580348928 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| accuracy | 31.600499927365927 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| 74.0ms | 256× | 0 | valid |
Compiled 276 to 52 computations (81.2% saved)
ival-mult: 40.0ms (66.2% of total)ival-sub: 10.0ms (16.6% of total)const: 5.0ms (8.3% of total)ival-add: 4.0ms (6.6% 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 #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
1/2 |
(+ 1/2 (* -1 x)) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(* -1 (* x (- 1 (* 1/2 (/ 1 x))))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
-1 |
(- y 1) |
(+ (* -1 x) (* y (- x 1/2))) |
(* y (- x 1/2)) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(+ x (* y (- 1/2 x))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- 1/2 x)) |
(* y (- (+ 1/2 (/ x y)) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x)) |
| 1.0ms | y | @ | -inf | ((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x)) |
| 1.0ms | x | @ | -inf | ((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x)) |
| 1.0ms | x | @ | inf | ((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x)) |
| 1.0ms | x | @ | 0 | ((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) (+ (* -1/2 y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (+ (* (- 1/2 x) y) x) (- 1/2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 409 |
| 1 | 479 | 397 |
| 2 | 1337 | 355 |
| 3 | 3890 | 355 |
| 4 | 7065 | 355 |
| 0 | 8118 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
1/2 |
(+ 1/2 (* -1 x)) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(* -1 (* x (- 1 (* 1/2 (/ 1 x))))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
-1 |
(- y 1) |
(+ (* -1 x) (* y (- x 1/2))) |
(* y (- x 1/2)) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(+ x (* y (- 1/2 x))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- 1/2 x)) |
(* y (- (+ 1/2 (/ x y)) x)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
| Outputs |
|---|
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(- (* x (- y 1)) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(-.f64 x #s(literal 1/2 binary64)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* x (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1 x)) |
(-.f64 #s(literal 1/2 binary64) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* x (- (* 1/2 (/ 1 x)) 1)) |
(-.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 x))))) |
(-.f64 #s(literal 1/2 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(+ (* -1 x) (* y (- x 1/2))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ x (* y (- 1/2 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- 1/2 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (+ 1/2 (/ x y)) x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* -1 (* y (- 1/2 x))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 127 |
| 0 | 38 | 127 |
| 1 | 199 | 121 |
| 2 | 1601 | 121 |
| 0 | 8378 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x) |
(-.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
Compiled 16 431 to 1 843 computations (88.8% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 6 | 498 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 496 | 8 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.3% | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 54.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) | |
| ✓ | 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ▶ | 46.3% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
| ▶ | 51.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
| ▶ | 23.8% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ▶ | 28.9% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 283 to 219 computations (22.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| cost-diff | 192 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 203 |
| 0 | 42 | 204 |
| 1 | 74 | 200 |
| 2 | 121 | 194 |
| 3 | 233 | 188 |
| 4 | 560 | 188 |
| 5 | 1089 | 188 |
| 6 | 1430 | 188 |
| 7 | 1562 | 188 |
| 8 | 1586 | 188 |
| 0 | 1586 | 180 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
y |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
y |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| accuracy | 34.338513283201415 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) | |
| accuracy | 31.310503734294038 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 31.600499927365927 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) | |
| accuracy | 34.28638021001032 | #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) | |
| accuracy | 28.988828193544908 | #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 31.600499927365927 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) | |
| accuracy | 0 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| accuracy | 22.380304919667992 | #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
| 39.0ms | 256× | 0 | valid |
Compiled 333 to 61 computations (81.7% saved)
ival-mult: 10.0ms (38.3% of total)ival-sub: 7.0ms (26.8% of total)const: 4.0ms (15.3% of total)ival-add: 3.0ms (11.5% of total)ival-neg: 1.0ms (3.8% 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 y x (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
-1/2 |
(- x 1/2) |
(* x (- y 1)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* y (- x 1/2)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ (* -1 x) (* y (- x 1/2))) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | y | @ | -inf | ((+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- y 1) x) (- y 1)) |
| 1.0ms | y | @ | inf | ((+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- y 1) x) (- y 1)) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- y 1) x) (- y 1)) |
| 1.0ms | x | @ | inf | ((+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- y 1) x) (- y 1)) |
| 1.0ms | y | @ | 0 | ((+ (* y x) (* -1/2 y)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- y 1) x) (- y 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 294 |
| 1 | 403 | 294 |
| 2 | 1130 | 258 |
| 3 | 3147 | 258 |
| 4 | 6611 | 258 |
| 0 | 8075 | 245 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
-1/2 |
(- x 1/2) |
(* x (- y 1)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* y (- x 1/2)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ (* -1 x) (* y (- x 1/2))) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (* x (- y 1)) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(-.f64 x #s(literal 1/2 binary64)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ (* -1 x) (* y (- x 1/2))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(* -1 (* y (- 1/2 x))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 191 |
| 0 | 42 | 192 |
| 1 | 185 | 188 |
| 2 | 1465 | 188 |
| 0 | 8785 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 x #s(literal 1/2 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) y) (/.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64))) (-.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) y))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 y (-.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) y) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) y) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 y y) y) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 y y) y) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y)) (neg.f64 (-.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y)) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64)))) (neg.f64 (-.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 x #s(literal -1/2 binary64))) |
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(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
Compiled 8 624 to 1 066 computations (87.6% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 1 | 248 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 247 | 9 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.3% | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 54.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| ▶ | 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
| ✓ | 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 46.3% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
| ✓ | 51.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
| ▶ | 27.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
| ✓ | 23.8% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ✓ | 28.9% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 186 to 143 computations (23.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) | |
| cost-diff | 0 | #s(approx (- x 1/2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 0 | 28 | 89 |
| 1 | 58 | 89 |
| 2 | 115 | 89 |
| 3 | 251 | 85 |
| 4 | 576 | 85 |
| 5 | 1069 | 85 |
| 6 | 1467 | 85 |
| 7 | 1677 | 85 |
| 8 | 1734 | 85 |
| 9 | 1763 | 85 |
| 10 | 1796 | 85 |
| 11 | 1819 | 85 |
| 12 | 1839 | 85 |
| 13 | 1850 | 85 |
| 0 | 1850 | 81 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
y |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) | |
| accuracy | 31.600499927365927 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) | |
| accuracy | 0 | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) | |
| accuracy | 29.00675636942635 | #s(approx (- x 1/2) #s(literal -1/2 binary64)) | |
| accuracy | 31.310503734294038 | #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
| 40.0ms | 256× | 0 | valid |
Compiled 158 to 48 computations (69.6% saved)
ival-sub: 10.0ms (36.9% of total)ival-mult: 6.0ms (22.2% of total)const: 4.0ms (14.8% of total)ival-div: 3.0ms (11.1% of total)ival-add: 2.0ms (7.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
1000000000000000/918938533204673 |
(+ 1000000000000000/918938533204673 (* 1000000000000000000000000000000/844448027808355901771309036929 x)) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 x)))) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* x (+ 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 1000000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 x)))))) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 918938533204673/1000000000000000 (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) (pow x 2))) (+ 1 (* 918938533204673/1000000000000000 (/ 1 x)))) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (/ (+ 1 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (* 918938533204673/1000000000000000 (/ 1 x)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) x)) 918938533204673/1000000000000000) x))) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (/ 1 (/ 1 (- 918938533204673/1000000000000000 x))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/ 1 (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x)) |
| 1.0ms | x | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (/ 1 (/ 1 (- 918938533204673/1000000000000000 x))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/ 1 (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x)) |
| 1.0ms | y | @ | -inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (/ 1 (/ 1 (- 918938533204673/1000000000000000 x))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/ 1 (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x)) |
| 1.0ms | x | @ | 0 | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (/ 1 (/ 1 (- 918938533204673/1000000000000000 x))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/ 1 (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x)) |
| 1.0ms | y | @ | inf | ((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (* (- x 1/2) y) (- x 1/2) (/ 1 (/ 1 (- 918938533204673/1000000000000000 x))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/ 1 (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 325 |
| 1 | 462 | 308 |
| 2 | 1201 | 288 |
| 3 | 3499 | 288 |
| 4 | 7990 | 288 |
| 0 | 8003 | 273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
-1/2 |
(- x 1/2) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
1000000000000000/918938533204673 |
(+ 1000000000000000/918938533204673 (* 1000000000000000000000000000000/844448027808355901771309036929 x)) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 x)))) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* x (+ 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 1000000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 x)))))) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 918938533204673/1000000000000000 (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) (pow x 2))) (+ 1 (* 918938533204673/1000000000000000 (/ 1 x)))) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (/ (+ 1 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (* 918938533204673/1000000000000000 (/ 1 x)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) x)) 918938533204673/1000000000000000) x))) x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (- 1/2 x))) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y)) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(-.f64 x #s(literal 1/2 binary64)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
1000000000000000/918938533204673 |
#s(literal 1000000000000000/918938533204673 binary64) |
(+ 1000000000000000/918938533204673 (* 1000000000000000000000000000000/844448027808355901771309036929 x)) |
(fma.f64 #s(literal 1000000000000000000000000000000/844448027808355901771309036929 binary64) x #s(literal 1000000000000000/918938533204673 binary64)) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 x)))) |
(fma.f64 (fma.f64 #s(literal 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 binary64) x #s(literal 1000000000000000000000000000000/844448027808355901771309036929 binary64)) x #s(literal 1000000000000000/918938533204673 binary64)) |
(+ 1000000000000000/918938533204673 (* x (+ 1000000000000000000000000000000/844448027808355901771309036929 (* x (+ 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 1000000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1000000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 binary64) x #s(literal 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 binary64)) x #s(literal 1000000000000000000000000000000/844448027808355901771309036929 binary64)) x #s(literal 1000000000000000/918938533204673 binary64)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x) |
(/ (- (* -1 (/ (+ 918938533204673/1000000000000000 (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 x))) x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) (pow x 2))) (+ 1 (* 918938533204673/1000000000000000 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (/ (+ 1 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (* 918938533204673/1000000000000000 (/ 1 x)))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 x))) x)) 918938533204673/1000000000000000) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x)) x) #s(literal 1 binary64)) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (- x 1/2)) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- 1/2 x))) |
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 92 |
| 0 | 28 | 84 |
| 1 | 159 | 84 |
| 2 | 1247 | 84 |
| 0 | 8458 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y) |
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64))) |
#s(approx (- x 1/2) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))) |
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) |
(*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) |
(/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(fma.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)) |
Compiled 3 225 to 453 computations (86% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 2 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 7 | 7 |
| Total | 124 | 10 | 134 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.3% | (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 54.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| 28.7% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal 1000000000000000000000000000000/844448027808355901771309036929 binary64) x #s(literal 1000000000000000/918938533204673 binary64))))) | |
| ✓ | 50.6% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 46.3% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
| ✓ | 51.1% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | 27.4% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
| 25.3% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) | |
| ✓ | 23.8% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| ✓ | 28.9% | #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Compiled 533 to 241 computations (54.8% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal 1000000000000000000000000000000/844448027808355901771309036929 binary64) x #s(literal 1000000000000000/918938533204673 binary64))))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))) |
| Outputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
4 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 5.0ms | y |
| 5.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 22 to 22 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
4 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 4.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 22 to 22 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 3.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.3% | 3 | y |
| 78.3% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 78.3% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 22 to 22 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.9% | 3 | y |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
4 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 3.0ms | y |
| 3.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 66.9% | 3 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 79.3% | 4 | x |
| 75.9% | 3 | y |
Compiled 22 to 22 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 4 | y |
| 59.3% | 4 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
| 50.6% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 50.6% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 50.6% | 1 | y |
Compiled 22 to 22 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 2.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 3 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 49.8% | 3 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 49.9% | 3 | x |
| 33.7% | 2 | y |
Compiled 22 to 22 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
4 calls:
| 1.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.9% | 1 | y |
| 28.9% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 28.9% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 28.9% | 1 | x |
Compiled 22 to 22 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.7566285268177067e-11 | 96.14287881005032 |
| 14.0ms | -4.622951456237713e-8 | -4.763791513695228e-11 |
| 20.0ms | 288× | 0 | valid |
Compiled 590 to 537 computations (9% saved)
const: 5.0ms (35.4% of total)ival-sub: 4.0ms (28.3% of total)ival-mult: 3.0ms (21.3% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.7566285268177067e-11 | 96.14287881005032 |
| 17.0ms | -179.38577115280088 | -0.0013750284955727882 |
| 23.0ms | 288× | 0 | valid |
Compiled 812 to 661 computations (18.6% saved)
ival-sub: 5.0ms (30.7% of total)const: 5.0ms (30.7% of total)ival-mult: 4.0ms (24.5% of total)ival-add: 3.0ms (18.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.652391159118248e+130 | 1.5712682252508277e+134 |
| 9.0ms | 2.832179064046391e-10 | 6.072080052997932e-10 |
| 15.0ms | -2.2512525224592266e+33 | -6.022298255080634e+29 |
| 25.0ms | 336× | 0 | valid |
Compiled 809 to 680 computations (15.9% saved)
const: 5.0ms (33.1% of total)ival-mult: 4.0ms (26.5% of total)ival-sub: 3.0ms (19.9% of total)ival-add: 2.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3.7566285268177067e-11 | 96.14287881005032 |
| 12.0ms | -3439.3272718427384 | -179.38577115280088 |
| 13.0ms | -2.645521477696773e+245 | -4.546910702654432e+243 |
| 21.0ms | 288× | 0 | valid |
Compiled 1 196 to 904 computations (24.4% saved)
const: 5.0ms (34.9% of total)ival-sub: 4.0ms (27.9% of total)ival-mult: 3.0ms (20.9% of total)ival-add: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.7566285268177067e-11 | 96.14287881005032 |
| 1.0ms | -3439.3272718427384 | -179.38577115280088 |
| 1.0ms | 16× | 0 | valid |
Compiled 796 to 610 computations (23.4% saved)
ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 28063510339931.01 | 1.5578132463371107e+25 |
| 1.0ms | -2.2512525224592266e+33 | -6.022298255080634e+29 |
| 12.0ms | 160× | 0 | valid |
Compiled 644 to 555 computations (13.8% saved)
ival-mult: 3.0ms (34.1% of total)const: 3.0ms (34.1% of total)ival-sub: 2.0ms (22.7% of total)ival-add: 1.0ms (11.4% 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 | 85 | 549 |
| 1 | 103 | 549 |
| 2 | 116 | 549 |
| 3 | 126 | 549 |
| 4 | 143 | 549 |
| 5 | 172 | 549 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(if (<=.f64 y #s(literal -8160249282398747/302231454903657293676544 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 5440166188265831/151115727451828646838272 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))) |
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))) |
(if (<=.f64 x #s(literal -609999999999999981167373713408 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 7833839311102797/19342813113834066795298816 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x))))))) |
(if (<=.f64 y #s(literal -8999999999999999913789706092279727230982516850245214529440934055819021956481940184221653338372529923921088221018631417961621081052637228486056862206122596022951201732540341391587051915564388038039359664871433681759871677974032254203120626696192 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) (if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))) |
(if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -609999999999999981167373713408 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 28500000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
| Outputs |
|---|
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))) |
(if (<=.f64 y #s(literal -8160249282398747/302231454903657293676544 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 5440166188265831/151115727451828646838272 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))) |
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))) |
(if (<=.f64 x #s(literal -609999999999999981167373713408 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 7833839311102797/19342813113834066795298816 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x))))))) |
(if (<=.f64 x #s(literal -609999999999999981167373713408 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 7833839311102797/19342813113834066795298816 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 x y))))))) |
(if (<=.f64 y #s(literal -8999999999999999913789706092279727230982516850245214529440934055819021956481940184221653338372529923921088221018631417961621081052637228486056862206122596022951201732540341391587051915564388038039359664871433681759871677974032254203120626696192 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) (if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))) |
(if (<=.f64 y #s(literal -8999999999999999913789706092279727230982516850245214529440934055819021956481940184221653338372529923921088221018631417961621081052637228486056862206122596022951201732540341391587051915564388038039359664871433681759871677974032254203120626696192 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))) (if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 x y)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))) |
(if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -215 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 x y)))) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 (+ (* (- 1/2 x) y) x)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 x #s(literal -609999999999999981167373713408 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 28500000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))) |
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 409 |
| 1 | 479 | 397 |
| 2 | 1337 | 355 |
| 3 | 3890 | 355 |
| 4 | 7065 | 355 |
| 0 | 8118 | 330 |
| 0 | 76 | 181 |
| 1 | 232 | 180 |
| 2 | 695 | 156 |
| 3 | 1800 | 156 |
| 4 | 6371 | 156 |
| 0 | 8162 | 149 |
| 0 | 151 | 325 |
| 1 | 462 | 308 |
| 2 | 1201 | 288 |
| 3 | 3499 | 288 |
| 4 | 7990 | 288 |
| 0 | 8003 | 273 |
| 0 | 124 | 294 |
| 1 | 403 | 294 |
| 2 | 1130 | 258 |
| 3 | 3147 | 258 |
| 4 | 6611 | 258 |
| 0 | 8075 | 245 |
| 0 | 10 | 31 |
| 0 | 15 | 31 |
| 1 | 69 | 31 |
| 2 | 520 | 31 |
| 3 | 7720 | 31 |
| 0 | 8249 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 736 to 269 computations (63.5% saved)
Compiled 1 120 to 196 computations (82.5% saved)
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