
Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 520.0ms | 8 256× | 0 | valid |
ival-mult!: 130.0ms (56.1% of total)ival-sqrt: 70.0ms (30.2% of total)ival-add!: 31.0ms (13.4% 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 |
|---|---|---|
| ▶ | 42.7% | (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 |
|---|---|---|
| 6.0ms | x | 0 |
| 1.0ms | x | inf |
| 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 10 | 242 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 233 | 10 | 243 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (*.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)))) | |
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| ▶ | 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
| ▶ | 42.4% | (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))))) |
| ▶ | 81.1% | #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))))))) |
| 5.1% | #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))))))) | |
| 5.6% | #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))))))) | |
| ▶ | 0.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
| 1.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
Compiled 408 to 286 computations (29.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 2642 |
| 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) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 z z) |
(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 (+ (+ (* x x) (* y y)) (* z z)) (+.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))) |
| 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 (+ (+ (* 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 (+ (pow x 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow z 2)) (+.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 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 #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 (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)) (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 (+ (+ (* 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 (+ (pow x 2) (pow z 2)) (*.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 (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 (* 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 (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 (+ (+ (* 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 (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 (+ 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 (* -1 z) (*.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)) (pow z 2)))) #s(literal 1 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 (+ (+ (* 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 (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.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 #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 |
|---|---|---|
| 2.0ms | y | 0 |
| 2.0ms | x | inf |
| 2.0ms | x | 0 |
| 2.0ms | z | inf |
| 2.0ms | z | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 238 |
| 0 | 48 | 234 |
| 1 | 213 | 234 |
| 0 | 2223 | 207 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 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) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 z z) |
(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 (+ (+ (* x x) (* y y)) (* z z)) (+.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))) |
| 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(*.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))) |
(/.f64 (*.f64 z (-.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 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 z (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.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)) #s(literal 1 binary64))) |
(/.f64 (*.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 2 binary64))) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) z) (fma.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)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))))) |
(fma.f64 (*.f64 z (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) z) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) z) z) |
(fma.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) |
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z)) |
(-.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z) |
(+.f64 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 #s(literal 1 binary64) (*.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 (-.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) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #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))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 1 binary64)))) |
(*.f64 (fma.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 #s(literal 1 binary64) (fma.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 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 z z (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (*.f64 z z)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #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))) |
(/.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 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 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 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 z z) #s(literal 2 binary64))) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) |
(/.f64 (neg.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 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.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)) #s(literal 1 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 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 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 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 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.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)) #s(literal 1 binary64))) |
(/.f64 (fma.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 #s(literal 1 binary64) (/.f64 (-.f64 #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 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 z)) (/.f64 (fma.f64 y y (*.f64 x x)) (fabs.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) |
(fma.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)) |
(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 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 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)) |
(fma.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)) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #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)))) (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 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 (/.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))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.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)) #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)) |
(+.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 #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 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 z)) (/.f64 (fma.f64 y y (*.f64 x x)) (fabs.f64 z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) |
(*.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.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 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #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) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (fabs.f64 z)) (fabs.f64 z)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (neg.f64 z)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) z) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #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)) |
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(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) z (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 z z)) |
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 z z)) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 z z)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 x x)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 z z)) |
(fma.f64 z (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 x x)) |
(fma.f64 z z (*.f64 x x)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 z z) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 z z) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) z)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x x)))))) |
(+.f64 (*.f64 z z) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 z z)) |
Compiled 18 618 to 2 610 computations (86% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 13 | 541 |
| Fresh | 1 | 4 | 5 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 534 | 17 | 551 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| ▶ | 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
| 39.9% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 39.7% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) #s(literal 1/2 binary64))) | |
| ▶ | 99.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))))) |
| ▶ | 98.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))))))) |
| 98.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 x (/.f64 x (*.f64 z z)))))))) | |
| 35.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (*.f64 z z)))))))) | |
| 98.9% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) | |
| 5.1% | #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))))))) | |
| 5.6% | #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))))))) | |
| 1.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| 0.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) | |
| ▶ | 1.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| ▶ | 4.8% | #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 y #s(literal 2 binary64)) z)))) |
| 2.7% | #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 x #s(literal 2 binary64)) z)))) |
Compiled 864 to 584 computations (32.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 2722 |
| 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) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))) |
(/.f64 y z) |
y |
(*.f64 x (/.f64 x (*.f64 z z))) |
x |
(/.f64 x (*.f64 z z)) |
(*.f64 z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))) |
(fma.f64 z z (*.f64 x x)) |
(*.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 y #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 y #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 2 binary64)) z) |
(pow.f64 y #s(literal 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) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z))))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))) |
(/.f64 x z) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/.f64 y (*.f64 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 (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (* x (/ x (* z z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx x x) |
#s(approx (/ x (* z z)) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#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 (+ (* z z) (* x x)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* z z) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (/ x z) (/.f64 x z)) |
#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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (*.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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (+ (* 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 (+ (* z z) (* 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 (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 (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z 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 (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (/ y z) (/.f64 y z)) |
#s(approx y y) |
#s(approx (* 1/2 (/ (pow y 2) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (/ (pow y 2) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
#s(approx (pow y 2) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (/ y (* z z)) (/.f64 y (pow.f64 z #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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (*.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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (+ (* 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 (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 (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (*.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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (+ (* x x) (* y y)) (* z z)) (+.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 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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* 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 (+ (+ (* 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 (+ (* z z) (* x x)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.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 #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 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) (*.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 |
|---|---|---|
| 8.0ms | x | 0 |
| 6.0ms | z | 0 |
| 4.0ms | z | -inf |
| 3.0ms | x | inf |
| 3.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 382 |
| 0 | 72 | 348 |
| 1 | 388 | 342 |
| 0 | 3837 | 316 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 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) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z))))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))) |
(/.f64 y z) |
y |
(*.f64 x (/.f64 x (*.f64 z z))) |
x |
(/.f64 x (*.f64 z z)) |
(*.f64 z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x))) |
(fma.f64 z z (*.f64 x x)) |
(*.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 y #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 y #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 2 binary64)) z) |
(pow.f64 y #s(literal 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) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z))))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.f64 z z)))) |
(/.f64 x z) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(/.f64 y (*.f64 z z)) |
| 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) #s(literal 1 binary64)) |
(*.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))) |
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(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(fma.f64 (/.f64 x (*.f64 z z)) x (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 (/.f64 x (*.f64 z z)) x (*.f64 (/.f64 y (*.f64 z z)) y)) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z)))) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z)))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z)))) |
(fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(fma.f64 x (/.f64 x (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(fma.f64 x (/.f64 x (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z)))) |
(-.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z z)))) |
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (*.f64 (neg.f64 x) (/.f64 x (*.f64 z z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z z)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z)) (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 z z)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z)) (pow.f64 (/.f64 y z) #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 z z)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (pow.f64 (/.f64 x z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 z z)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (pow.f64 (/.f64 x z) #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 x (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 z x))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (fabs.f64 y) (neg.f64 z)) (/.f64 (fabs.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (fabs.f64 y) z) (/.f64 (fabs.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) (/.f64 (neg.f64 y) (fabs.f64 z))) |
(*.f64 (/.f64 y (fabs.f64 z)) (/.f64 y (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 (/.f64 y z))) (fabs.f64 (fabs.f64 (/.f64 y z)))) |
(*.f64 (neg.f64 (fabs.f64 (/.f64 y z))) (neg.f64 (fabs.f64 (/.f64 y z)))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (*.f64 z z))) |
(*.f64 (fabs.f64 (/.f64 y z)) (fabs.f64 (/.f64 y z))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 z z))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (*.f64 z z)) y) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 y z) (/.f64 y z)) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z))) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(pow.f64 (fabs.f64 (/.f64 y z)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (neg.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 y z) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 y z)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 y y) (fabs.f64 z)) (fabs.f64 z)) |
(/.f64 (/.f64 (*.f64 y y) (neg.f64 z)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 z y) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 z y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 z z) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) y)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) y) z) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/.f64 (/.f64 y z) (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 y z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y))) |
(/.f64 y (/.f64 (*.f64 z z) y)) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y (*.f64 z z)))) |
(fabs.f64 (*.f64 (/.f64 y (*.f64 z z)) y)) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (fabs.f64 z)) (fabs.f64 z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z z) y))) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 y z) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 y (*.f64 z z)) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 z z))) |
Compiled 28 499 to 4 033 computations (85.8% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 737 | 12 | 749 |
| Fresh | 2 | 10 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 742 | 24 | 766 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| ✓ | 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
| ▶ | 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
| 39.9% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 39.7% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) #s(literal 1/2 binary64))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 x (*.f64 z (/.f64 z x)))))))) | |
| 99.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))))))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64))))))))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 2 binary64)))))))) | |
| ▶ | 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))))) |
| 99.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x (/.f64 x (*.f64 z z)))))))) | |
| ▶ | 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
| 98.9% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) | |
| 5.1% | #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))))))) | |
| 5.6% | #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))))))) | |
| 1.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 0.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
| ✓ | 1.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| 4.8% | #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 (*.f64 y y) #s(literal 1/2 binary64)) z))) | |
| 4.5% | #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 y z) y) #s(literal 1/2 binary64)))) | |
| 2.7% | #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 x #s(literal 2 binary64)) z)))) | |
| ▶ | 4.5% | #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 y (/.f64 z y))))) |
| 4.5% | #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 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
Compiled 1 316 to 891 computations (32.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 3139 |
| 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 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z) |
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) |
(/.f64 y z) |
y |
(*.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
(neg.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 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#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) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) |
(*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y 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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (* (/ y z) y) (* (/ x z) x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
#s(approx (+ (* (/ y z) y) (* (/ x z) x)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* (/ x z) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#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 (+ (* z z) (exp (* (log x) 2))) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* z z) (exp (* (log x) 2))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (exp (* (log x) 2)) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* (log x) 2) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
#s(approx (log x) (log.f64 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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (* (/ y z) y) (* (/ x z) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))) |
#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 (+ (* z z) (exp (* (log x) 2))) (*.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 (* (log x) 2) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
#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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 z) (/.f64 y z)) |
#s(approx y y) |
#s(approx (* 1/2 (/ y (/ z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (/ z y) (/.f64 z y)) |
#s(approx (* (log (/ y z)) 2) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (log (/ y z)) (+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (* (/ y z) y) (* (/ x z) x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (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 (* (log (/ y z)) 2) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (log (/ y z)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
#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 (* (log (/ y z)) 2) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) |
#s(approx (log (/ y z)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
#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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (* (/ y z) y) (* (/ x z) x)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)) |
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* (log (/ y z)) 2) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 z))))) |
#s(approx (log (/ y z)) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (+ (* 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 (+ (* z z) (exp (* (log x) 2))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.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 #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 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (/ (+ (* (/ y z) y) (* (/ x z) x)) z) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (* (/ y z) y) (* (/ x z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 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 #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 (* (log (/ y z)) 2) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (log (/ y z)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 36.0ms | x | 0 |
| 36.0ms | z | 0 |
| 22.0ms | z | -inf |
| 20.0ms | z | inf |
| 16.0ms | y | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 391 |
| 0 | 76 | 371 |
| 1 | 368 | 330 |
| 0 | 4267 | 309 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 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 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z) |
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) |
(/.f64 y z) |
y |
(*.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
(neg.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 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#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) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) |
(*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z) |
(*.f64 (+.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) z) (fma.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))))) |
(fma.f64 (*.f64 z (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))) #s(literal 1/2 binary64) z) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) z) |
(fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z) |
(fma.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) z) z) |
(fma.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) |
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z)) |
(-.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z) |
(+.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64))) |
(+.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
z |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x x (*.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) (pow.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
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(/.f64 (/.f64 (*.f64 y y) (neg.f64 z)) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) y) z)) |
(/.f64 (*.f64 (/.f64 y z) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 y z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y y)) z)) |
(/.f64 (*.f64 y y) (*.f64 z z)) |
(/.f64 y (*.f64 (/.f64 z y) z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 y z))) (cosh.f64 (log.f64 (/.f64 y z)))) (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) |
(-.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (neg.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))))) |
(fabs.f64 (neg.f64 (*.f64 y (/.f64 y (*.f64 z z))))) |
(fabs.f64 (*.f64 y (/.f64 y (*.f64 z z)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))) |
(*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) (log.f64 y))) (log.f64 y) (log.f64 (/.f64 y z))) |
(fma.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 y z)) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y z)))) |
(+.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y z))) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y z)))) |
(+.f64 (log.f64 (/.f64 y z)) (log.f64 (/.f64 y z))) |
(log.f64 (*.f64 y (/.f64 y (*.f64 z z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 z) (log.f64 y))) (log.f64 y)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 z) (log.f64 z))) (+.f64 (log.f64 y) (log.f64 z))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 y) (log.f64 y) (fma.f64 (log.f64 z) (log.f64 z) (*.f64 (log.f64 y) (log.f64 z))))) |
(neg.f64 (-.f64 (log.f64 z) (log.f64 y))) |
(neg.f64 (log.f64 (/.f64 z y))) |
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 z))) |
(-.f64 (log.f64 y) (log.f64 z)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 z y))) |
(+.f64 (log.f64 y) (neg.f64 (log.f64 z))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 1 binary64) z))) |
(log.f64 (/.f64 y z)) |
Compiled 28 453 to 4 255 computations (85% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 736 | 5 | 741 |
| Fresh | 2 | 15 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 739 | 26 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))))) | |
| ✓ | 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
| 42.4% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (log.f64 (*.f64 x x)))))) | |
| 39.9% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 x (*.f64 z (/.f64 z x)))))))) | |
| 99.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))))))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64))))))))) | |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 2 binary64)))))))) | |
| ✓ | 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))))))) |
| 99.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x (/.f64 x (*.f64 z z)))))))) | |
| ✓ | 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
| 99.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fabs.f64 (/.f64 y z)) y (*.f64 (/.f64 x z) x)) z))))) | |
| 98.9% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) | |
| 5.1% | #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))))))) | |
| 5.6% | #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))))))) | |
| 1.1% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) | |
| ✓ | 0.7% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
| ✓ | 1.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
| 4.5% | #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 #s(literal 1/2 binary64) y) z) (/.f64 #s(literal 1 binary64) y)))) | |
| 4.8% | #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 (*.f64 y y) #s(literal 1/2 binary64)) z))) | |
| 4.5% | #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 #s(literal 1/2 binary64) y) z) y))) | |
| 2.7% | #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 x #s(literal 2 binary64)) z)))) | |
| ✓ | 4.5% | #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 y (/.f64 z y))))) |
| 4.5% | #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 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
Compiled 746 to 505 computations (32.3% saved)
Total -0.6b remaining (-0.9%)
Threshold costs -0.6b (-0.9%)
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
#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 z)) |
#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)) (pow z 2)))) #s(literal 1 binary64)))) |
#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 y z) y) #s(literal 1/2 binary64)))) |
#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 #s(literal 1/2 binary64) y) z) 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 y y) #s(literal 1/2 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 y (/.f64 z y))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y 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 #s(literal 1/2 binary64) y) z) (/.f64 #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 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
(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))) #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)))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (log.f64 (*.f64 x x)))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #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)) (pow z 2)))) #s(literal 1 binary64)))) |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
#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)) (pow z 2)))) #s(literal 1 binary64)))) |
#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 y z) y) #s(literal 1/2 binary64)))) |
#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 #s(literal 1/2 binary64) y) z) 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 y y) #s(literal 1/2 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 y (/.f64 z y))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y 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 #s(literal 1/2 binary64) y) z) (/.f64 #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 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
(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))) #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)))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (log.f64 (*.f64 x x)))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (exp.f64 (*.f64 (log.f64 x) #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 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #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 (fma.f64 (fabs.f64 (/.f64 y z)) y (*.f64 (/.f64 x z) x)) z))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (*.f64 z z)) (*.f64 x (/.f64 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) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 y (/.f64 y (*.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) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 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) (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 x (*.f64 z (/.f64 z 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 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 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) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x (/.f64 x (*.f64 z z)))))))) |
(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))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (exp.f64 (*.f64 (log.f64 (/.f64 y 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) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 x 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) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (exp.f64 (*.f64 (log.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) (fma.f64 (/.f64 y z) (/.f64 y z) (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 z) #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 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))) |
27 calls:
| 30.0ms | y |
| 23.0ms | (*.f64 y y) |
| 16.0ms | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 11.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | (*.f64 z z) |
| 1.6% | 1 | (*.f64 y y) |
| 1.6% | 1 | (*.f64 x x) |
| 1.6% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.6% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 1.6% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 1.6% | 1 | x |
| 1.6% | 1 | y |
| 1.6% | 1 | z |
| 98.9% | 1 | (*.f64 z z) |
| 98.9% | 1 | (*.f64 y y) |
| 98.9% | 1 | (*.f64 x x) |
| 98.9% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 98.9% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 98.9% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 98.9% | 1 | x |
| 98.9% | 1 | y |
| 98.9% | 1 | z |
| 99.5% | 1 | (*.f64 z z) |
| 99.5% | 1 | (*.f64 y y) |
| 99.5% | 1 | (*.f64 x x) |
| 99.5% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 99.5% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 99.5% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
Compiled 1 255 to 363 computations (71.1% saved)
| 1× | fuel |
Compiled 78 to 35 computations (55.1% saved)
(abs z)
(abs y)
(abs x)
Compiled 744 to 498 computations (33.1% saved)
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