
Time bar (total: 2.6s)
| 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 7 to 7 computations (0% saved)
| 408.0ms | 8 256× | 0 | valid |
ival-sqrt: 80.0ms (39.8% of total)ival-sub: 68.0ms (33.9% of total)ival-fabs: 42.0ms (20.9% of total)ival-true: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 30.0ms | 512× | 0 | valid |
Compiled 37 to 19 computations (48.6% saved)
ival-sqrt: 11.0ms (62.9% of total)ival-sub: 3.0ms (17.1% of total)ival-fabs: 3.0ms (17.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 36 |
| 1 | 30 | 36 |
| 2 | 45 | 36 |
| 3 | 93 | 36 |
| 4 | 176 | 36 |
| 5 | 232 | 36 |
| 0 | 5 | 5 |
| 0 | 8 | 5 |
| 1 | 12 | 5 |
| 2 | 17 | 5 |
| 3 | 31 | 5 |
| 4 | 58 | 5 |
| 5 | 80 | 5 |
| 0 | 80 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
Compiled 5 to 5 computations (0% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 12 | 14 |
| 2 | 17 | 14 |
| 3 | 31 | 14 |
| 4 | 58 | 14 |
| 5 | 80 | 14 |
| 0 | 80 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0.0078125 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sub: 2.0ms (41.3% of total)ival-sqrt: 2.0ms (41.3% of total)ival-fabs: 1.0ms (20.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 1.0ms | x | @ | 0 | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 1.0ms | y | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 1.0ms | x | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
| 0.0ms | x | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 113 |
| 1 | 101 | 113 |
| 2 | 278 | 113 |
| 3 | 815 | 113 |
| 4 | 3333 | 113 |
| 5 | 7996 | 113 |
| 0 | 8036 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
| Outputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) (neg.f64 y)) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) x) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
#s(approx (- x y) (-.f64 x y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 11 |
| 1 | 29 | 11 |
| 2 | 186 | 10 |
| 3 | 2066 | 10 |
| 0 | 9981 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y x))) |
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))))))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 y y)))) (-.f64 y x)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (sqrt.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (sqrt.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x))) (sqrt.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
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(-.f64 y x) |
(-.f64 x y) |
(fabs.f64 (-.f64 y x)) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 y)) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) y) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(hypot.f64 (neg.f64 (neg.f64 x)) y) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 y)) x) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 y) (neg.f64 x)) |
(hypot.f64 (neg.f64 y) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 x) (neg.f64 y)) |
(hypot.f64 (neg.f64 x) y) |
(hypot.f64 y (neg.f64 (neg.f64 (neg.f64 x)))) |
(hypot.f64 y (neg.f64 (neg.f64 x))) |
(hypot.f64 y (neg.f64 x)) |
(hypot.f64 y x) |
(hypot.f64 x (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 x (neg.f64 (neg.f64 y))) |
(hypot.f64 x (neg.f64 y)) |
(hypot.f64 x y) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (-.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (neg.f64 y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 5 719 to 810 computations (85.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 3 | 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 265 | 3 | 268 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ▶ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ▶ | 55.7% | (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
Compiled 19 to 15 computations (21.1% saved)
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 y x)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 y x)) | |
| cost-diff | 0 | #s(approx (- x y) x) | |
| cost-diff | 0 | (fabs.f64 #s(approx (- x y) x)) | |
| cost-diff | 0 | (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 45 |
| 0 | 14 | 45 |
| 1 | 19 | 45 |
| 2 | 22 | 45 |
| 3 | 34 | 45 |
| 4 | 53 | 45 |
| 5 | 65 | 45 |
| 0 | 65 | 45 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(fabs.f64 #s(approx (- x y) x)) |
#s(approx (- x y) x) |
x |
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
(-.f64 y x) |
y |
x |
(sqrt.f64 (-.f64 y x)) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(fabs.f64 #s(approx (- x y) x)) |
#s(approx (- x y) x) |
x |
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
(-.f64 y x) |
y |
x |
(sqrt.f64 (-.f64 y x)) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 y x)) | |
| accuracy | 0.51171875 | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 y x)) | |
| accuracy | 0.0 | (fabs.f64 #s(approx (- x y) x)) | |
| accuracy | 0.0078125 | (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) | |
| accuracy | 29.42582144721255 | #s(approx (- x y) x) |
| 25.0ms | 256× | 0 | valid |
Compiled 41 to 10 computations (75.6% saved)
ival-sub: 3.0ms (33.9% of total)ival-sqrt: 3.0ms (33.9% of total)ival-div: 1.0ms (11.3% of total)ival-fabs: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(fabs.f64 #s(approx (- x y) x)) |
#s(approx (- x y) x) |
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (sqrt y))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | x | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | x | @ | -inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | y | @ | 0 | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
| 1.0ms | y | @ | inf | ((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1773 |
| 1 | 723 | 1713 |
| 2 | 3058 | 1661 |
| 0 | 8338 | 1589 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (sqrt y))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))))) |
| Outputs |
|---|
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y)))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) (neg.f64 y)) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) y) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (- y x) (-.f64 y x)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (sqrt y))) |
#s(approx (/ (- y x) (sqrt (- y x))) (sqrt.f64 y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) x (sqrt.f64 y))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) x) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) (neg.f64 x)) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x))))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x)))))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1))))) |
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (- y x) (fma.f64 (/.f64 y x) x (neg.f64 x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) y (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (- y x) (-.f64 y x)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) y (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y)))))) |
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) |
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y))))) |
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
#s(approx (- x y) (fma.f64 (/.f64 x y) y (neg.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (/ (- y x) (sqrt (- y x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (/ (- y x) (sqrt (- y x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 0 | 14 | 28 |
| 1 | 48 | 28 |
| 2 | 280 | 27 |
| 3 | 2825 | 27 |
| 0 | 10209 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(fabs.f64 #s(approx (- x y) x)) |
#s(approx (- x y) x) |
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- x y) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- x y) x))) |
(pow.f64 (neg.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- x y) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- x y) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) |
(fabs.f64 (sqrt.f64 #s(approx (- x y) x))) |
(exp.f64 (fma.f64 (log.f64 #s(approx (- x y) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- x y) x)) #s(literal 1/4 binary64)))) |
(exp.f64 (/.f64 (log.f64 #s(approx (- x y) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- x y) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- x y) x)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- x y) x)))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- x y) x))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))))) |
(*.f64 (sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64))) (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(approx (- x y) x)) (sqrt.f64 #s(approx (- x y) x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- x y) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (- x y) x) #s(literal 1 binary64)) |
#s(approx (- x y) x) |
(neg.f64 #s(approx (- x y) x)) |
(sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- x y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- x y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 #s(approx (- x y) x))) |
(+.f64 (cosh.f64 (log.f64 #s(approx (- x y) x))) (sinh.f64 (log.f64 #s(approx (- x y) x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))))) |
(*.f64 (sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64))) (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) (neg.f64 (sqrt.f64 #s(approx (- x y) x)))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(approx (- x y) x)) (sqrt.f64 #s(approx (- x y) x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- x y) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (- x y) x) #s(literal 1 binary64)) |
#s(approx (- x y) x) |
(neg.f64 #s(approx (- x y) x)) |
(sqrt.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- x y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 #s(approx (- x y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- x y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- x y) x))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 #s(approx (- x y) x))) |
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(hypot.f64 (neg.f64 (neg.f64 (neg.f64 x))) y) |
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(hypot.f64 (neg.f64 (neg.f64 (neg.f64 y))) x) |
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(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 y)) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
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(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (sqrt.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 y x))) (sqrt.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x)))) (-.f64 y x)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 y x)) y (*.f64 (sqrt.f64 (-.f64 y x)) x)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (-.f64 y x)) y (*.f64 (sqrt.f64 (-.f64 y x)) x))) (-.f64 y x)) |
(/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 (-.f64 y x)) x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 y x)) y) (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x)) |
(/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x)) |
(/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) x)) (-.f64 y x)) |
(/.f64 (fma.f64 (sqrt.f64 (-.f64 y x)) y (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x)) |
(/.f64 (-.f64 (neg.f64 y) (neg.f64 x)) (sqrt.f64 (-.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))) |
(/.f64 (fma.f64 (sqrt.f64 (-.f64 y x)) y (*.f64 (sqrt.f64 (-.f64 y x)) x)) (-.f64 y x)) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
(neg.f64 (sqrt.f64 (-.f64 y x))) |
(fma.f64 (fabs.f64 (/.f64 y (-.f64 y x))) (sqrt.f64 (-.f64 y x)) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (fabs.f64 (/.f64 y (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (fabs.f64 (/.f64 x (-.f64 y x))) (sqrt.f64 (-.f64 y x)) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (fabs.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (/.f64 y (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (/.f64 y (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (/.f64 x (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(fma.f64 (/.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x)))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) y) (-.f64 y x)) (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) (sqrt.f64 (-.f64 y x))) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) (sqrt.f64 (-.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (-.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (-.f64 y x)))) |
(-.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(hypot.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(hypot.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(hypot.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (-.f64 (log.f64 (-.f64 y x)) (log.f64 (sqrt.f64 (-.f64 y x))))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64)))) |
(exp.f64 (/.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x))))) |
(+.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) (/.f64 y (sqrt.f64 (-.f64 y x)))) |
(+.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x)))) |
Compiled 22 239 to 1 735 computations (92.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 969 | 1 | 970 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 969 | 4 | 973 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ✓ | 55.7% | (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
| ▶ | 47.7% | (sqrt.f64 #s(approx (- y x) y)) |
Compiled 25 to 20 computations (20% saved)
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- y x) y) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- y x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 6 | 12 |
| 0 | 6 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
#s(approx (- y x) y) |
y |
| Outputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
#s(approx (- y x) y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sqrt.f64 #s(approx (- y x) y)) | |
| accuracy | 33.40549495071484 | #s(approx (- y x) y) |
| 11.0ms | 256× | 0 | valid |
Compiled 10 to 6 computations (40% saved)
ival-sub: 3.0ms (54.4% of total)ival-sqrt: 2.0ms (36.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
#s(approx (- y x) y) |
| Outputs |
|---|
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((sqrt (- y x)) (- y x)) |
| 0.0ms | y | @ | -inf | ((sqrt (- y x)) (- y x)) |
| 0.0ms | x | @ | inf | ((sqrt (- y x)) (- y x)) |
| 0.0ms | y | @ | inf | ((sqrt (- y x)) (- y x)) |
| 0.0ms | x | @ | 0 | ((sqrt (- y x)) (- y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 840 |
| 1 | 595 | 791 |
| 2 | 2568 | 762 |
| 0 | 8274 | 726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
| Outputs |
|---|
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3)))))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5)))))))))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))) |
#s(approx (- y x) #s(hole binary64 y)) |
#s(approx (- y x) y) |
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x)))) |
#s(approx (- y x) (-.f64 y x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (- y x) #s(hole binary64 (* -1 x))) |
#s(approx (- y x) (neg.f64 x)) |
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1)))) |
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x))))))) |
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (- y x) #s(hole binary64 (- y x))) |
#s(approx (- y x) (-.f64 y x)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y)))))) |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (- y x)) (sqrt.f64 y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) |
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (- y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)) |
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1))))) |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 6 | 11 |
| 1 | 21 | 11 |
| 2 | 127 | 11 |
| 0 | 1188 | 11 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
#s(approx (- y x) y) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (- y x) y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- y x) y) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- y x) y)) |
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (- y x) y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (- y x) y)) #s(literal 1/2 binary64)))) |
#s(approx (- y x) y) |
Compiled 816 to 173 computations (78.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 0 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 36 | 4 | 40 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ✓ | 55.7% | (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
| ✓ | 47.7% | (sqrt.f64 #s(approx (- y x) y)) |
Compiled 55 to 35 computations (36.4% saved)
| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
5 calls:
| 20.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 2.0ms | (fabs.f64 (-.f64 x y)) |
| 2.0ms | y |
| 2.0ms | (-.f64 x y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 x y) |
| 100.0% | 1 | (fabs.f64 (-.f64 x y)) |
| 100.0% | 1 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 #s(approx (- x y) x))) |
(sqrt.f64 #s(approx (- y x) y)) |
5 calls:
| 12.0ms | (fabs.f64 (-.f64 x y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 1.0ms | (-.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 5 | (-.f64 x y) |
| 66.2% | 5 | (fabs.f64 (-.f64 x y)) |
| 66.2% | 5 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 85.2% | 2 | x |
| 85.2% | 2 | y |
Compiled 14 to 16 computations (-14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
| Outputs |
|---|
(sqrt.f64 #s(approx (- y x) y)) |
5 calls:
| 1.0ms | y |
| 1.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 1.0ms | (fabs.f64 (-.f64 x y)) |
| 1.0ms | (-.f64 x y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.7% | 1 | (fabs.f64 (-.f64 x y)) |
| 47.7% | 1 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 47.7% | 1 | (-.f64 x y) |
| 47.7% | 1 | x |
| 47.7% | 1 | y |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.7020689624295075e-155 | 3.387704853862492e-151 |
| 17.0ms | 128× | 0 | valid |
Compiled 112 to 114 computations (-1.8% saved)
ival-fabs: 13.0ms (89.1% of total)ival-sub: 1.0ms (6.9% of total)ival-sqrt: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 27 |
| 1 | 18 | 27 |
| 2 | 28 | 27 |
| 3 | 39 | 27 |
| 4 | 58 | 27 |
| 5 | 98 | 27 |
| 6 | 159 | 27 |
| 7 | 319 | 27 |
| 8 | 353 | 27 |
| 9 | 564 | 27 |
| 10 | 3671 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 y #s(literal 2432436719123259/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) (sqrt.f64 #s(approx (- y x) y))) |
(sqrt.f64 #s(approx (- y x) y)) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 y #s(literal 2432436719123259/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (sqrt.f64 (fabs.f64 #s(approx (- x y) x))) (sqrt.f64 #s(approx (- y x) y))) |
(sqrt.f64 #s(approx (- y x) y)) |
| 1× | done |
Compiled 27 to 14 computations (48.1% saved)
Compiled 72 to 46 computations (36.1% saved)
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