
Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 1 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 2 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 3 |
| 100.0% | 99.9% | 0.0% | 0.1% | 0.0% | 0.0% | 0.0% | 4 |
Compiled 14 to 11 computations (21.4% saved)
| 518.0ms | 8 256× | 0 | valid |
ival-mult!: 175.0ms (56.3% of total)ival-sqrt: 68.0ms (21.9% of total)ival-add!: 67.0ms (21.6% of total)adjust: 2.0ms (0.6% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 122 | 123 |
| 2 | 354 | 123 |
| 3 | 477 | 123 |
| 4 | 915 | 123 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.1% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(abs x)
(abs y)
(abs z)
(sort x y)
(sort x z)
(sort y z)
Compiled 24 to 18 computations (25.0% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1600 |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
z |
(*.f64 z z) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x x) (pow.f64 x #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 (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 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 (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 (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 y y) |
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* y y) (* z z)) (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 (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 (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* 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 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 (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 z 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 (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 (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 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 (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 |
|---|---|---|
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
| 1.0ms | y | -inf |
| 1.0ms | z | inf |
| 1.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 15 | 42 |
| 1 | 76 | 42 |
| 2 | 295 | 42 |
| 3 | 1111 | 42 |
| 4 | 2129 | 42 |
| 0 | 4090 | 37 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
z |
(*.f64 z z) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
x |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
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(*.f64 x x) |
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
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(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 x (fabs.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
y |
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(*.f64 (fabs.f64 y) (fabs.f64 y)) |
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(*.f64 y y) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
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(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
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(/.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) |
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) |
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) |
(fabs.f64 (*.f64 y (fabs.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) |
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) |
(fabs.f64 (*.f64 (fabs.f64 y) y)) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
z |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
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(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)))) (-.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (neg.f64 (fma.f64 z z (*.f64 x x))))) (+.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (neg.f64 (fma.f64 z z (*.f64 y y))))) (+.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (neg.f64 (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))))) |
(/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64))) |
(neg.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 z z (*.f64 x x))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 z z (*.f64 y y))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 z z (*.f64 x x))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 z z (*.f64 y y))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 z z (*.f64 x x))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 z z (*.f64 y y))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(fma.f64 x x (fma.f64 z z (*.f64 y y))) |
(-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 z z) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(-.f64 (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) |
(-.f64 (*.f64 x x) (neg.f64 (fma.f64 z z (*.f64 y y)))) |
(sqrt.f64 (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (fma.f64 x x (fma.f64 z z (*.f64 y y))))) |
(fabs.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) |
(fabs.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64))) |
(+.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))) |
(+.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x))) |
(+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) |
(sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
Compiled 9 781 to 1 932 computations (80.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 10 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 441 | 10 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 45.1% | (sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) | |
| ▶ | 44.6% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
| ▶ | 45.1% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| 5.5% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) | |
| ▶ | 81.6% | #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))))))) | |
| 5.4% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| ▶ | 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
| 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
Compiled 408 to 292 computations (28.4% saved)
| Inputs |
|---|
1 |
1/2 |
2 |
-1 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 6 to 6 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 2608 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 z #s(literal 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 #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 #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)))))) |
#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(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (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) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (pow x 2) (pow.f64 x #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 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 (* 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 (+ 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 (* 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 (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 (* -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 y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow 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 (* 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 (* 1/2 (/ (+ (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 (+ 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 (* 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 (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 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx y y) |
#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 (* 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 (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 (+ (* y y) (* z z)) (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 (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow 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 (* 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 (+ 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 (* 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 (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 (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* 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 z z) |
#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 (* 1/2 (/ (+ (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 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* 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 (* -1 z) (*.f64 #s(literal -1 binary64) z)) |
#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 (* 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 (+.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 (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* 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 |
|---|---|---|
| 9.0ms | z | inf |
| 2.0ms | y | 0 |
| 2.0ms | x | inf |
| 2.0ms | x | 0 |
| 2.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 238 |
| 0 | 48 | 234 |
| 1 | 207 | 234 |
| 2 | 841 | 226 |
| 0 | 4018 | 201 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 z #s(literal 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 #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 #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)))))) |
#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(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (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) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (fabs.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.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 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 (*.f64 y y) (*.f64 x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))) (+.f64 (*.f64 y y) (neg.f64 (*.f64 x x)))) |
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(+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (neg.f64 (neg.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))))) |
(*.f64 (pow.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))) #s(literal -1/2 binary64))) |
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 z)) z) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (*.f64 z z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 z z)))) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (+.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 z z) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z y) (*.f64 z y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y z))))) |
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y y)))) |
(fma.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 z z)) |
(fma.f64 (fabs.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64))) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) z (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 z z)) |
(fma.f64 (fabs.f64 z) (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))) (*.f64 y y)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 y y)) |
(fma.f64 z (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 y y)) |
(fma.f64 z z (*.f64 y y)) |
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 y y (*.f64 z z)) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (neg.f64 (*.f64 (neg.f64 (neg.f64 z)) z))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 z z) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(pow.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 1 binary64)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) |
(sqrt.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(fabs.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1/2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
Compiled 44 626 to 6 589 computations (85.2% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 280 | 13 | 1 293 |
| Fresh | 4 | 1 | 5 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 289 | 14 | 1 303 |
| Status | Accuracy | Program |
|---|---|---|
| 45.1% | (sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) | |
| 44.6% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ▶ | 45.1% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
| 42.1% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 97.5% | #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 x (*.f64 z z)))))))) | |
| ▶ | 96.9% | #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)))))))) |
| 96.9% | #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)))))))) | |
| ▶ | 97.9% | #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))))))) | |
| 5.4% | #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))))))) | |
| 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) | |
| ▶ | 1.7% | #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 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
Compiled 682 to 460 computations (32.6% saved)
| Inputs |
|---|
1 |
1/2 |
2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 5 to 5 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 2629 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
(*.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)))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) |
(neg.f64 x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
(*.f64 z z) |
(fma.f64 y y (*.f64 z z)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 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)) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #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 x z) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(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))))) |
(+.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))))))) |
#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)))))))) |
| Outputs |
|---|
#s(approx x x) |
#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 (* 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 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* x x) (+ (* 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 z) (/.f64 x z)) |
#s(approx (+ (* (/ x z) (/ x z)) (* y (/ y (* z z)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (* 1/2 (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (+ 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 (* 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 (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))) (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 z) (/ x z)) (* y (/ y (* z z)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (* 1/2 (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx y y) |
#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 (* 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 (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 (+ (* y y) (* z z)) (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 (pow y 2) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (/ (pow y 2) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
#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 (/ y (* z z)) (/.f64 y (pow.f64 z #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 (* 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 (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 (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* 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 z) (/ x z)) (* y (/ y (* 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 (* 1/2 (+ (* (/ x z) (/ x z)) (* y (/ y (* 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 (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 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 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* 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 (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (* y (/ y (* z z)))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ 1 (* 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 (* 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 (+.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 (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* 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 | -inf |
| 5.0ms | z | 0 |
| 5.0ms | z | inf |
| 3.0ms | y | inf |
| 3.0ms | z | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 325 |
| 0 | 58 | 310 |
| 1 | 280 | 310 |
| 2 | 1173 | 308 |
| 0 | 4114 | 284 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
(*.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)))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) |
(neg.f64 x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
(*.f64 z z) |
(fma.f64 y y (*.f64 z z)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 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)) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #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 x z) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (/.f64 y (*.f64 z z))) |
(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))))) |
(+.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))))))) |
#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)))))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) 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)))) (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z)) |
(neg.f64 x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z))) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 z z) |
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 z) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 z))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z z)) y)) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) z) (*.f64 (neg.f64 (neg.f64 z)) z))) (-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (+.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 z)) z) (*.f64 (neg.f64 (neg.f64 z)) z)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 z z) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 z z))))) |
(neg.f64 (neg.f64 (fma.f64 y y (*.f64 z z)))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 z z)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 z z)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y y)) |
(fma.f64 z z (*.f64 y y)) |
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 z)) z)) |
(fma.f64 y y (*.f64 z z)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 y y)) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))))) |
(*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))))) |
(pow.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) #s(literal 1 binary64)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) |
(sqrt.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))))) |
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z))))))) |
(fabs.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) z) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) z) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) z) (*.f64 z (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (*.f64 z (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) (-.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (*.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))))) |
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) z) |
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) z) |
(fma.f64 (/.f64 z z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) 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)) #s(literal 1/2 binary64)) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) z) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)) (/.f64 z z) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)) 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)) #s(literal 1/2 binary64)) (*.f64 z z)) z) |
(-.f64 z (*.f64 (neg.f64 z) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 z z)))) |
(-.f64 z (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) z)) |
(-.f64 z (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z) |
(+.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) z)) |
Compiled 47 984 to 6 843 computations (85.7% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 213 | 7 | 1 220 |
| Fresh | 3 | 6 | 9 |
| Picked | 5 | 0 | 5 |
| Done | -4 | 4 | 0 |
| Total | 1 217 | 17 | 1 234 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.1% | (sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
| 44.6% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ✓ | 45.1% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
| 42.2% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))) | |
| 42.1% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| ▶ | 97.5% | #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 x (*.f64 z z)))))))) |
| ✓ | 96.9% | #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)))))))) |
| ▶ | 99.1% | #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))))) |
| ✓ | 97.9% | #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))))))) | |
| 5.4% | #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))))))) | |
| 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
| ✓ | 1.7% | #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 y y) #s(literal 1/2 binary64)) z))) |
| 4.4% | #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 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)))))) | |
| 4.4% | #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 y z))))) |
Compiled 781 to 532 computations (31.9% saved)
| Inputs |
|---|
1 |
1/2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 372 | 2904 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(/.f64 y z) |
(/.f64 x z) |
(*.f64 (/.f64 x z) x) |
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) |
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) 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)))) |
#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))))) |
(neg.f64 z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(*.f64 x x) |
(fma.f64 z z (*.f64 x x)) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
(*.f64 z z) |
(/.f64 x (*.f64 z z)) |
(*.f64 x (/.f64 x (*.f64 z z))) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 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)))))) |
(*.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 x (*.f64 z z)))))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (/ x z) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) |
#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 (/ (+ (* (/ 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 (* 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 (+ 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 (* 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 (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) (pow.f64 x #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 (+ (* y y) (+ (* z z) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* y y) (+ (* z z) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (/ x (* z z)) (/.f64 x (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 (+ (* (/ 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 (/ (+ (* (/ 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 (* 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 (* 1/2 (/ (+ (* (/ 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 (+ 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 (* 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 (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 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 (+ (* y y) (+ (* z z) (* x x))) (*.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 (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 y y) |
#s(approx (/ y z) (/.f64 y z)) |
#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 (* 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 (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 (* y y) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (* (* y y) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (/ (* (* y y) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#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 (/ (+ (* (/ 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 (* 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 (+ 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 (* 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 (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 (+ (* y y) (+ (* z z) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* 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 z z) |
#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 (/ (+ (* (/ 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 (* 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 (* 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 (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 (neg z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (+ (* y y) (+ (* z z) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (* 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 (+.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 (+ (* 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 (+ (* y y) (+ (* z z) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* (/ 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 (/ (+ (* (/ 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 (* 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 (+ 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 (* 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 (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 |
|---|---|---|
| 11.0ms | z | inf |
| 5.0ms | z | -inf |
| 5.0ms | x | 0 |
| 4.0ms | x | inf |
| 3.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 356 |
| 0 | 74 | 338 |
| 1 | 386 | 303 |
| 2 | 1633 | 301 |
| 0 | 4339 | 286 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(/.f64 y z) |
(/.f64 x z) |
(*.f64 (/.f64 x z) x) |
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) |
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) 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)))) |
#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))))) |
(neg.f64 z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(*.f64 x x) |
(fma.f64 z z (*.f64 x x)) |
(fma.f64 y y (fma.f64 z z (*.f64 x x))) |
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
(*.f64 z z) |
(/.f64 x (*.f64 z z)) |
(*.f64 x (/.f64 x (*.f64 z z))) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 z z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 x (/.f64 x (*.f64 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)))))) |
(*.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 x (*.f64 z z)))))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) z)) |
(*.f64 (/.f64 (neg.f64 (fabs.f64 x)) z) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) z)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) z) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fabs.f64 x) z) (/.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) x) |
(*.f64 x (/.f64 x z)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 z)) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 x x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 x z) x))) (*.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) x) (*.f64 (/.f64 y z) y))) (*.f64 (/.f64 y z) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 y z) y))) (*.f64 (/.f64 y z) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) (*.f64 (*.f64 (/.f64 y z) y) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 (/.f64 y (neg.f64 z)) y) (*.f64 (/.f64 y (neg.f64 z)) y) (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 y (neg.f64 z)) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 (neg.f64 y) (/.f64 y z)) (*.f64 (neg.f64 y) (/.f64 y z)) (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (neg.f64 y) (/.f64 y z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x) (fma.f64 (neg.f64 (*.f64 (/.f64 y z) y)) (neg.f64 (*.f64 (/.f64 y z) y)) (*.f64 (*.f64 (/.f64 x z) x) (neg.f64 (*.f64 (/.f64 y z) y)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) x))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) y) z (*.f64 (neg.f64 z) (*.f64 x x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 z) (*.f64 z (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) y))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) z (*.f64 (neg.f64 z) (*.f64 y y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 z) (*.f64 z (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) z) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) (*.f64 (neg.f64 z) (*.f64 x x))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) z) (*.f64 z (*.f64 (neg.f64 x) x))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (neg.f64 z)) (*.f64 z (*.f64 x x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) z (*.f64 x x))) (neg.f64 z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x z) x) z (*.f64 y y))) (neg.f64 z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 (*.f64 x x) z))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) z (*.f64 (*.f64 y y) z))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 z (*.f64 x x)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) z (*.f64 z (*.f64 y y)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) y) z (*.f64 x x)) z) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) x) z (*.f64 y y)) z) |
(/.f64 (fma.f64 (*.f64 y y) z (*.f64 (*.f64 x x) z)) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 x x) z (*.f64 (*.f64 y y) z)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x)) (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y))) (-.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 y z) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y)) (*.f64 (*.f64 (/.f64 (neg.f64 x) z) x) (*.f64 (/.f64 (neg.f64 x) z) x))) (+.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 (neg.f64 x) z) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x) (-.f64 (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y)) (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 y z) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y) (fma.f64 (*.f64 (/.f64 (neg.f64 x) z) x) (*.f64 (/.f64 (neg.f64 x) z) x) (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 (neg.f64 x) z) x))))) |
(/.f64 (fma.f64 (*.f64 y y) z (*.f64 z (*.f64 x x))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 x x) z (*.f64 z (*.f64 y y))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y)) (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x))) (-.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 x z) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (*.f64 (/.f64 x z) x) (*.f64 (/.f64 x z) x)) (*.f64 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 x z) x))))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 z)) |
(/.f64 (fma.f64 y y (*.f64 x x)) z) |
(neg.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z))) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 y)) z) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 y)) z) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) z) (/.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) z) (/.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 y)) z) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 y)) z) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 y)) z) (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 y)) z) (/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fabs.f64 x)) z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) z) (/.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) z) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) z) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) z) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 y (neg.f64 z)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 y (neg.f64 z)) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y z) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (fabs.f64 y) z) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (/.f64 (fabs.f64 y) z) (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) x)) |
(fma.f64 (/.f64 (fabs.f64 x) z) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 y z) y)) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) (*.f64 (/.f64 x z) x)) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) z) (*.f64 (/.f64 y z) y)) |
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) x))) |
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) (*.f64 (/.f64 x z) x)) |
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(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (*.f64 z (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) (-.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) (*.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))))) |
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 z)) z) |
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) z) |
(fma.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 z z) z) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(fma.f64 (/.f64 z z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) 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)) #s(literal 1/2 binary64)) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 z (neg.f64 z)) z) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)) (/.f64 z z) z) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 z #s(literal 1 binary64)) 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 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z)) |
(-.f64 z (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))))) |
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))) z) |
(+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64))) |
(+.f64 z (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)))) |
Compiled 60 297 to 8 704 computations (85.6% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 625 | 4 | 1 629 |
| Fresh | 3 | 5 | 8 |
| Picked | 5 | 0 | 5 |
| Done | -5 | 9 | 4 |
| Total | 1 628 | 18 | 1 646 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.1% | (sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
| 44.6% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ✓ | 45.1% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
| 42.2% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))) | |
| 42.1% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| ✓ | 97.5% | #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 x (*.f64 z z)))))))) |
| 97.5% | #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 x (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))))))) | |
| ✓ | 96.9% | #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)))))))) |
| 97.5% | #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 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x (/.f64 x (*.f64 z z)))))))) | |
| ✓ | 99.1% | #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))))) |
| ✓ | 97.9% | #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))))))) | |
| 5.4% | #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))))))) | |
| 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ✓ | 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
| ✓ | 1.7% | #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 y y) #s(literal 1/2 binary64)) z))) |
| 4.4% | #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 y (*.f64 y (/.f64 #s(literal 1/2 binary64) z))))) |
Compiled 470 to 314 computations (33.2% saved)
| 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) 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) 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) 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) 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 #s(literal 1/2 binary64) (*.f64 y (/.f64 y 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 y (*.f64 y (/.f64 #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 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.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 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.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 y #s(literal 2 binary64)) z)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 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) 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) 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 #s(literal 1/2 binary64) (*.f64 y (/.f64 y 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 y (*.f64 y (/.f64 #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 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (*.f64 z z)))) |
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.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 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)))))) |
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.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 y #s(literal 2 binary64)) z)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 y y (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.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 (/.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 (/.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 y #s(literal 2 binary64))))) |
(sqrt.f64 #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 (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 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) (*.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 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) (*.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) (*.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:
| 15.0ms | y |
| 13.0ms | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 12.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 12.0ms | (*.f64 z z) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | (*.f64 z z) |
| 1.7% | 1 | (*.f64 y y) |
| 1.7% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 1.7% | 1 | (*.f64 x x) |
| 1.7% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 1.7% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 1.7% | 1 | x |
| 1.7% | 1 | y |
| 1.7% | 1 | z |
| 97.9% | 1 | (*.f64 z z) |
| 97.9% | 1 | (*.f64 y y) |
| 97.9% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 97.9% | 1 | (*.f64 x x) |
| 97.9% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 97.9% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 99.1% | 1 | (*.f64 z z) |
| 99.1% | 1 | (*.f64 y y) |
| 99.1% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 99.1% | 1 | (*.f64 x x) |
| 99.1% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 99.1% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
Compiled 1 029 to 288 computations (72.0% saved)
| 1× | fuel |
Compiled 78 to 35 computations (55.1% saved)
(sort x y)
(sort x z)
Compiled 1 887 to 1 183 computations (37.3% saved)
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