
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 4 |
Compiled 14 to 11 computations (21.4% saved)
| 517.0ms | 8 256× | 0 | valid |
ival-mult!: 136.0ms (56% of total)ival-sqrt: 76.0ms (31.3% of total)ival-add!: 30.0ms (12.3% of total)adjust: 1.0ms (0.4% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 126 | 123 |
| 2 | 371 | 123 |
| 3 | 503 | 123 |
| 4 | 941 | 123 |
| 5 | 4348 | 123 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.5% | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(abs x)
(abs y)
(abs z)
(sort x y z)
Compiled 24 to 18 computations (25% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1636 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx y y) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64))) |
#s(approx z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | inf |
| 1.0ms | x | 0 |
| 1.0ms | y | -inf |
| 1.0ms | y | inf |
| 1.0ms | z | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 15 | 42 |
| 1 | 78 | 42 |
| 0 | 911 | 37 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (sqrt.f64 (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x))))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y y)) |
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x x)))))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
y |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z))) |
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z))) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 (fabs.f64 z) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
z |
Compiled 5 820 to 897 computations (84.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 13 | 242 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 230 | 13 | 243 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.2% | (*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
| 45.8% | (*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) | |
| 16.7% | (sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) | |
| ▶ | 41.5% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 41.5% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) | |
| ▶ | 30.1% | (sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
| 40.3% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) | |
| ▶ | 82.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| 5.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 0.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) | |
| 1.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
Compiled 524 to 346 computations (34% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1177 | 11841 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 2 binary64)) |
y |
(pow.f64 z #s(literal 2 binary64)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 z (fma.f64 y y (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x)))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x)))) (+.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
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#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
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#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
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#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
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#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
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#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
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#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
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#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
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#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))) |
#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) #s(literal 1 binary64)) |
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#s(approx (/ z (+ (* y y) (* x x))) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) |
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#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
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#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
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#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
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#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
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#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
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#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx y y) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
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#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
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#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
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#s(approx (/ z (+ (* y y) (* x x))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ z (+ (* y y) (* x x))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 6 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 z (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ z (+ (* y y) (* x x))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 6 binary64)))))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 z (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 7/128 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64)))))))) |
#s(approx (sqrt (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x)))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 y #s(literal 6 binary64))))))))) |
#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* (+ (* z (/ z (+ (* y y) (* x x)))) 1) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))) |
#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
#s(approx (/ z (+ (* y y) (* x x))) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (/ z (+ (* y y) (* x x))) (/.f64 (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (/ z (+ (* y y) (* x x))) (/.f64 (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) z) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) z) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (pow z 2) (pow.f64 z #s(literal 2 binary64))) |
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#s(approx (/ z (+ (* y y) (* x x))) (/.f64 z (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
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#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))))) |
#s(approx (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 39.0ms | z | -inf |
| 17.0ms | y | 0 |
| 11.0ms | x | 0 |
| 7.0ms | z | 0 |
| 7.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 247 |
| 0 | 55 | 204 |
| 0 | 279 | 201 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 2 binary64)) |
y |
(pow.f64 z #s(literal 2 binary64)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 z (fma.f64 y y (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
z |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 (*.f64 z z))) |
(/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 x x) (neg.f64 (*.f64 y y))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
y |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(literal -1 binary64) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y) (*.f64 z z)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 y y) (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)))) |
(fma.f64 x x (fma.f64 y y (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (*.f64 z z))) |
(-.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) |
(+.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 x x) (neg.f64 (*.f64 y y))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y) (*.f64 z z)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 y y) (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)))) |
(fma.f64 x x (fma.f64 y y (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (*.f64 z z))) |
(-.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) |
(+.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64)) |
(fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal -1 binary64)) |
(+.f64 (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (neg.f64 z) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) z)) |
(/.f64 z (fma.f64 y y (*.f64 x x))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/8 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 1/4 binary64))) |
#s(literal 1/4 binary64) |
Compiled 20 092 to 1 887 computations (90.6% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 10 | 353 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 348 | 18 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.7% | (sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
| ✓ | 41.5% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 41.5% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) | |
| ✓ | 30.1% | (sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
| 5.8% | (sqrt.f64 (*.f64 #s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) | |
| ▶ | 97.5% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 5.9% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 3.5% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 82.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) | |
| ▶ | 82.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| 85.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)))))) | |
| 5.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 0.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) | |
| 1.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| 4.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) | |
| ▶ | 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
Compiled 901 to 589 computations (34.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 728 | 7022 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#s(literal 1/2 binary64) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) z) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z)) |
(*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
y |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx x x) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (pow x 2) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (/ (pow x 2) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x)) |
#s(approx (+ (* y (/ y (* x x))) 1) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* y (/ y (* x x))) 1) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ y (* x x)) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ (* y (/ y (* x x))) 1) #s(literal 1 binary64)) |
#s(approx (+ (* y (/ y (* x x))) 1) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (+.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) |
#s(approx y y) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* (+ (* y (/ y (* x x))) 1) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* y (/ y (* x x))) 1) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (pow (pow (/ 1 z) -1/2) 2) (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (+.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (+.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))))) |
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#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
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#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* (* (+ (* y (/ y (* x x))) 1) x) x) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 38.0ms | z | 0 |
| 21.0ms | z | inf |
| 11.0ms | z | -inf |
| 3.0ms | x | inf |
| 3.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 335 |
| 0 | 73 | 312 |
| 0 | 368 | 287 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#s(literal 1/2 binary64) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) z) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z)) |
(*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
y |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) z) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
(/.f64 (*.f64 x x) z) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) (fma.f64 x x (fma.f64 y y (*.f64 z z)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z)))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) (fma.f64 x x (*.f64 y y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y) (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 x x (*.f64 y y))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) x (*.f64 z z)) |
(fma.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) (*.f64 x x) (*.f64 z z)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y (*.f64 z z))) |
(fma.f64 x (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) (*.f64 z z)) |
(fma.f64 x x (fma.f64 y y (*.f64 z z))) |
(fma.f64 z z (fma.f64 x x (*.f64 y y))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 z) z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 (*.f64 z z))) |
(-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y)))) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) |
(+.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) y))) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (*.f64 (/.f64 y (*.f64 x x)) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (*.f64 (/.f64 y (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (*.f64 x x)) y #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal -1 binary64)) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) y)) |
y |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 y x) x) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) |
(/.f64 y (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (*.f64 z z)) |
(*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (neg.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (neg.f64 (*.f64 z z))) |
(/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
Compiled 11 075 to 1 221 computations (89% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 8 | 243 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 241 | 20 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 16.7% | (sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
| 40.3% | (sqrt.f64 (fma.f64 (*.f64 #s(approx (+ (* y (/ y (* x x))) 1) #s(literal 1 binary64)) x) x (*.f64 z z))) | |
| ✓ | 41.5% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| ✓ | 30.1% | (sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
| 5.8% | (sqrt.f64 (*.f64 #s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) | |
| 5.9% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 3.5% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 89.0% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
| ▶ | 97.6% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| 82.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) | |
| 85.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)))))) | |
| ▶ | 81.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))) |
| 5.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 0.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) | |
| ▶ | 1.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
| ✓ | 1.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) z))) | |
| ▶ | 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))))) |
| 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) z))))) |
Compiled 1 056 to 681 computations (35.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 6101 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) |
(log.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ 1 (/ z (* x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (/ 1 (/ z (* x x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#s(approx (/ z (* x x)) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx y y) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -3/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 7/64 binary64) (/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))))))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
#s(approx (pow (pow (/ 1 z) -1/2) 2) (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) |
#s(approx (pow z 1/2) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ 1 (* z z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (* (log (/ 1 z)) -1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 z))) |
#s(approx (log (/ 1 z)) (*.f64 #s(literal -1 binary64) (log.f64 z))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
#s(approx (pow z 1/2) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (log (/ 1 z)) -1/2) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (log (/ 1 z)) (log.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (pow z 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 13.0ms | z | inf |
| 10.0ms | z | -inf |
| 10.0ms | z | 0 |
| 5.0ms | x | -inf |
| 2.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 384 |
| 0 | 75 | 322 |
| 0 | 354 | 299 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) |
(log.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)))) |
(*.f64 (pow.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z))) |
(pow.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z))) #s(literal 2 binary64))) |
#s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(literal -1 binary64) |
y |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) z)) |
(pow.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
(/.f64 (*.f64 x x) z) |
#s(literal 1 binary64) |
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 z x) x) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) z)) |
(/.f64 z (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) |
(*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(pow.f64 (*.f64 z z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 z))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (log.f64 z)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 z))) |
(neg.f64 (log.f64 z)) |
(-.f64 #s(literal 0 binary64) (log.f64 z)) |
(log.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal -1/2 binary64) |
Compiled 10 825 to 1 136 computations (89.5% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 8 | 209 |
| Fresh | 2 | 9 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 208 | 21 | 229 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 16.7% | (sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
| 40.3% | (sqrt.f64 (fma.f64 (*.f64 #s(approx (+ (* y (/ y (* x x))) 1) #s(literal 1 binary64)) x) x (*.f64 z z))) | |
| ✓ | 41.5% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| ✓ | 30.1% | (sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
| 5.8% | (sqrt.f64 (*.f64 #s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) | |
| 5.9% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 3.5% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 89.0% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 #s(approx (* (log (/ 1 z)) -1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))) #s(literal 2 binary64))) | |
| 97.6% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (*.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)))) | |
| 89.0% | #s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z))) #s(literal 2 binary64)))) | |
| 82.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) | |
| 81.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)))) | |
| 98.4% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) #s(literal 1 binary64)))) | |
| 5.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 0.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) | |
| 1.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) | |
| ✓ | 1.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) z))) | |
| 2.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) x))))) | |
| 2.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x x))))) |
Compiled 610 to 385 computations (36.9% saved)
Total -0.6b remaining (-1%)
Threshold costs -0.6b (-1%)
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (*.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)) #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x x))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x)))))) |
(sqrt.f64 (*.f64 #s(approx (+ (* z (/ z (+ (* y y) (* x x)))) 1) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(approx (+ (* y (/ y (* x x))) 1) #s(literal 1 binary64)) x) x (*.f64 z z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) x))))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (/ 1 z) -1/2) (sqrt.f64 z))) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (pow x 2) (pow y 2)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x (*.f64 z z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 y y (*.f64 x x))) z)))))) |
(sqrt.f64 (*.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 z (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 x x)))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 #s(approx (pow (/ 1 z) -1/2) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 #s(approx (* (log (/ 1 z)) -1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 z)))) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* (pow (+ (* z z) (+ (* y y) (* x x))) 1/4) (pow (+ (* z z) (+ (* y y) (* x x))) 1/4)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (* (+ (pow x 2) (pow y 2)) (/ 1 (* z z))))) #s(literal 1 binary64)))) |
18 calls:
| 22.0ms | x |
| 19.0ms | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 15.0ms | (*.f64 x x) |
| 14.0ms | y |
| 13.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | (*.f64 z z) |
| 1.7% | 1 | (*.f64 y y) |
| 1.7% | 1 | (*.f64 x x) |
| 1.7% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.7% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 1.7% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 1.7% | 1 | x |
| 1.7% | 1 | y |
| 1.7% | 1 | z |
| 98.4% | 1 | (*.f64 z z) |
| 98.4% | 1 | (*.f64 y y) |
| 98.4% | 1 | (*.f64 x x) |
| 98.4% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 98.4% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 98.4% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
Compiled 1 243 to 300 computations (75.9% saved)
| 1× | fuel |
Compiled 49 to 25 computations (49% saved)
(abs z)
(abs y)
(abs x)
Compiled 483 to 328 computations (32.1% saved)
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