
Time bar (total: 3.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 4 |
Compiled 14 to 11 computations (21.4% saved)
| 526.0ms | 8 256× | 0 | valid |
ival-mult!: 214.0ms (67.6% of total)ival-sqrt: 70.0ms (22.1% of total)ival-add!: 32.0ms (10.1% of total)adjust: 1.0ms (0.3% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 126 | 123 |
| 2 | 371 | 123 |
| 3 | 503 | 123 |
| 4 | 941 | 123 |
| 5 | 4348 | 123 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.7% | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(abs x)
(abs y)
(abs z)
(sort x y z)
Compiled 18 to 18 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1636 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx y y) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64))) |
#s(approx z z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z) |
| 1.0ms | y | @ | -inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z) |
| 1.0ms | x | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z) |
| 1.0ms | y | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z) |
| 1.0ms | z | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 15 | 42 |
| 1 | 78 | 42 |
| 2 | 318 | 42 |
| 3 | 1021 | 42 |
| 4 | 2066 | 42 |
| 5 | 7652 | 42 |
| 0 | 8010 | 37 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64)))) |
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(*.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) y) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) (neg.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 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 (sqrt.f64 (neg.f64 (fabs.f64 y))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 y) y) (neg.f64 y)))) |
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 y) y) y))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) y) y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 y y) 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 (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 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 0 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (fabs.f64 y) #s(literal 0 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 0 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 y #s(literal 0 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64))) |
(*.f64 y y) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.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 (*.f64 y y) #s(literal 0 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 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))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 y) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (fabs.f64 y) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(/.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 (fabs.f64 y) (neg.f64 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))) |
y |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) z)) (sqrt.f64 (*.f64 (fabs.f64 z) z))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z))) (sqrt.f64 (neg.f64 (fabs.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 z) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) z)) (sqrt.f64 (fabs.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) z)) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) z)) (sqrt.f64 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))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) z) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) 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))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 z))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 z) z) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64))) |
(*.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 (sqrt.f64 (neg.f64 (fabs.f64 z))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (fabs.f64 z)) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) z) z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) z))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z z) 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 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 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 z) (fabs.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (fabs.f64 z) #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 z #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 0 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64))) |
(*.f64 z z) |
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.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 (*.f64 z z) #s(literal 0 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 z) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -1 binary64))) |
(/.f64 (fabs.f64 z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(fabs.f64 (*.f64 (fabs.f64 z) z)) |
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1 binary64))) |
(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))) |
z |
Compiled 4 517 to 1 930 computations (57.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 10 | 459 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 450 | 10 | 460 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| ▶ | 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
| ▶ | 42.6% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| ▶ | 82.8% | #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))))))) |
| 4.9% | #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))))))) | |
| 5.5% | #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)) |
| 5.3% | #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))))) |
Compiled 294 to 294 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 2642 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 2 binary64)) |
y |
(pow.f64 z #s(literal 2 binary64)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 z z) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (pow x 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow z 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx y y) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* -1 z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2))) |
| 3.0ms | y | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2))) |
| 2.0ms | z | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2))) |
| 2.0ms | x | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2))) |
| 2.0ms | x | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 x) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* -1 z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow z 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 238 |
| 0 | 48 | 234 |
| 1 | 213 | 234 |
| 2 | 891 | 226 |
| 3 | 6039 | 226 |
| 0 | 8050 | 199 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 y #s(literal 2 binary64)) |
y |
(pow.f64 z #s(literal 2 binary64)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 z z) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z) z)) |
(*.f64 z (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 z (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z))) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z)) z) (*.f64 z z)) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 x x (*.f64 y y)))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)))) (+.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))) (-.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 z (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) z)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 x x (*.f64 y y)) z) |
(fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z z) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) (fabs.f64 z))) (/.f64 (fma.f64 x x (*.f64 y y)) (fabs.f64 z)) z) |
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) z)) (/.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 z)) z) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 x x (*.f64 y y)) z) z) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (fma.f64 x x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) z) |
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) |
(fma.f64 (/.f64 z (fabs.f64 z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 z))) z) |
(fma.f64 (/.f64 z (neg.f64 z)) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) z)) z) |
(fma.f64 (/.f64 z (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) (/.f64 z (*.f64 (neg.f64 z) z)) z) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) |
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x |
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y |
(*.f64 (pow.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 z z)) |
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(fma.f64 (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (*.f64 (fabs.f64 (/.f64 x z)) (neg.f64 (fabs.f64 z))) (*.f64 (fabs.f64 (/.f64 x z)) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (fabs.f64 (/.f64 x z)) (fabs.f64 z)) (*.f64 (fabs.f64 (/.f64 x z)) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (fabs.f64 (/.f64 x z)) (neg.f64 z)) (*.f64 (fabs.f64 (/.f64 x z)) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (fabs.f64 (/.f64 x z)) z) (*.f64 (fabs.f64 (/.f64 x z)) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (neg.f64 z)) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) z) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) z) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 (fabs.f64 x) z) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) z) (fabs.f64 z)) (*.f64 (/.f64 (fabs.f64 x) z) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) z) (neg.f64 z)) (*.f64 (/.f64 (fabs.f64 x) z) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (fabs.f64 x) z) z) (*.f64 (/.f64 (fabs.f64 x) z) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) z) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 z)) z) (*.f64 (/.f64 x (neg.f64 z)) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (fabs.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x (fabs.f64 z)) z) (*.f64 (/.f64 x (fabs.f64 z)) z) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x z) (neg.f64 (fabs.f64 z))) (*.f64 (/.f64 x z) (neg.f64 (fabs.f64 z))) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x z) (fabs.f64 z)) (*.f64 (/.f64 x z) (fabs.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x z) (neg.f64 z)) (*.f64 (/.f64 x z) (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (*.f64 (/.f64 x z) z) (*.f64 (/.f64 x z) z) (*.f64 z z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (fabs.f64 z)) (fabs.f64 z) (*.f64 z z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (neg.f64 z)) (neg.f64 z) (*.f64 z z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) z) z (*.f64 z z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 (neg.f64 z) z)) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 x x)) |
(fma.f64 (fabs.f64 (/.f64 x z)) (*.f64 (fabs.f64 (/.f64 x z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 (fabs.f64 x) z) (*.f64 (/.f64 (fabs.f64 x) z) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (*.f64 (/.f64 (neg.f64 x) (fabs.f64 z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 x (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (/.f64 x (fabs.f64 z)) (*.f64 (/.f64 x (fabs.f64 z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 z z)) |
(fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 x x)) |
(fma.f64 (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 z z) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 z z)) |
(fma.f64 (fabs.f64 z) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (fabs.f64 z) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 x x)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 x (*.f64 (neg.f64 z) z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 z z)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 x x)) |
(fma.f64 (*.f64 z z) (*.f64 (/.f64 x (*.f64 z z)) x) (*.f64 z z)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 z z)) |
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(fma.f64 z z (*.f64 x x)) |
(-.f64 (*.f64 z z) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))) |
(+.f64 (*.f64 z z) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 z z)) |
Compiled 25 625 to 10 569 computations (58.8% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 164 | 17 | 2 181 |
| Fresh | 1 | 4 | 5 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 170 | 21 | 2 191 |
| Status | Accuracy | Program |
|---|---|---|
| 42.3% | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) | |
| 42.2% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))))) | |
| ▶ | 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| 42.6% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))) | |
| ▶ | 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
| 42.6% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) | |
| 39.8% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 39.7% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64))) | |
| 98.2% | #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 (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x)))))) | |
| ▶ | 98.2% | #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 (/.f64 y (*.f64 z z)) y)))))) |
| 98.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) y) z (*.f64 x (/.f64 x z))) z))))) | |
| 82.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) | |
| ▶ | 99.3% | #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)))) |
| 4.9% | #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))))))) | |
| 5.5% | #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)) |
| 4.3% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) | |
| 2.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
Compiled 740 to 700 computations (5.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 2678 |
| 1× | iter-limit |
| Inputs |
|---|
#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)))) |
(*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))) |
z |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 2 binary64) |
(*.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 (/.f64 y (*.f64 z z)) y)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 z z)) y) |
(/.f64 y (*.f64 z z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx x x) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (*.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 (* z z)) y))) (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 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ (* z z) (+ (* y y) (* 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 (+ (* y y) (* x x)) (*.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 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (*.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 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (*.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 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx y y) |
#s(approx (* (log y) 2) (*.f64 #s(literal 2 binary64) (log.f64 y))) |
#s(approx (log y) (log.f64 y)) |
#s(approx (/ y (* z z)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (+ (* y y) (* x x)) (*.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 (* (log y) 2) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (log y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) (*.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 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (*.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 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/.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(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z))) |
| 14.0ms | y | @ | -inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z))) |
| 10.0ms | z | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z))) |
| 9.0ms | y | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z))) |
| 3.0ms | x | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg x) x (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (exp (* (log y) 2)) (* (log y) 2) (log y) 2 (* z z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y))) 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (* z z)) y)) (/ x z) (* (/ y (* z z)) y) (/ y (* z z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 297 |
| 0 | 63 | 257 |
| 1 | 328 | 257 |
| 2 | 1382 | 247 |
| 0 | 8229 | 241 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#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)))) |
(*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64))) |
z |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
(+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
#s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 2 binary64) |
(*.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 (/.f64 y (*.f64 z z)) y)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 z z)) y) |
(/.f64 y (*.f64 z z)) |
| Outputs |
|---|
#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)) |
(*.f64 (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) z) #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 #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 (*.f64 #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))) |
z |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1/2 binary64))) |
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 z z))) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 z z (*.f64 x x)))) (fma.f64 z z (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 y y))) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))) (fma.f64 z z (*.f64 y y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 x x (*.f64 y y)))) (fma.f64 x x (*.f64 y y))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) (fma.f64 x x (*.f64 y y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))) (*.f64 z z)) |
(*.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))) |
(pow.f64 (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))) #s(literal 2 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 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 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z)))) (-.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (fma.f64 z z (*.f64 y y))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (+.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (neg.f64 x) x))) |
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(/.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))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) y) (fabs.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) y) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) z) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 (fabs.f64 z))) |
(/.f64 (/.f64 y (fabs.f64 z)) (fabs.f64 z)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z)) |
(/.f64 (/.f64 y z) z) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 z) (/.f64 y (fabs.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 y (*.f64 z z)) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z))) |
(fma.f64 (cosh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (cosh.f64 (log.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (sinh.f64 (log.f64 y)))) |
(fabs.f64 (/.f64 y (*.f64 (neg.f64 z) z))) |
(fabs.f64 (/.f64 y (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (cosh.f64 (log.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (sinh.f64 (log.f64 y)))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (sinh.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (*.f64 z z)) (/.f64 (sinh.f64 (log.f64 y)) (*.f64 z z))) |
Compiled 19 620 to 7 351 computations (62.5% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 516 | 6 | 1 522 |
| Fresh | 1 | 15 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 517 | 26 | 1 543 |
| Status | Accuracy | Program |
|---|---|---|
| 42.3% | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) | |
| 42.2% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))))) | |
| ✓ | 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| ▶ | 42.6% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))) |
| 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z))) | |
| ✓ | 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
| 42.6% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) | |
| 39.8% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 39.7% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64))) | |
| 73.4% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z))) | |
| 98.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) y #s(literal 1 binary64))))) | |
| 98.2% | #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 (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x)))))) | |
| ▶ | 99.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))))) |
| ✓ | 98.2% | #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 (/.f64 y (*.f64 z z)) y)))))) |
| ▶ | 95.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))) |
| 98.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y)))))) | |
| 82.8% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) | |
| ✓ | 99.3% | #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)))) |
| 4.9% | #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))))))) | |
| 5.5% | #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)) |
| ▶ | 4.3% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
| 2.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
Compiled 870 to 827 computations (4.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 519 | 4581 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)) |
(/.f64 x z) |
x |
(/.f64 (*.f64 (/.f64 y z) y) z) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 2 binary64)) z) |
(pow.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)) |
(fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)) |
(*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y) |
(/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (*.f64 z z) z) |
(*.f64 z z) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (+.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 (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (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)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (+.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)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (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)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
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#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
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#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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)))))))) |
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#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow.f64 x #s(literal 2 binary64))) |
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#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
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#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.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)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))) |
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#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (*.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)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (*.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)) (sqrt.f64 (pow.f64 z #s(literal 4 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))))))))) |
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#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (/ y z) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx y y) |
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#s(approx (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
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#s(approx (/ y (sqrt (* (* (* z z) z) z))) (/.f64 y (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
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#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 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 (/.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))))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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))))) (fma.f64 #s(literal -1 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 (/.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)))))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (*.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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (*.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) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))))))) |
#s(approx (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 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 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (neg z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (/ y (sqrt (* (* (* z z) z) z))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (sqrt (* (* (* z z) z) z)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (* (* (* z z) z) z) (pow.f64 z #s(literal 4 binary64))) |
#s(approx (* (* z z) z) (pow.f64 z #s(literal 3 binary64))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) 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 (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 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 (/.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))))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (pow (+ (* z z) (+ (* x x) (* y y))) -1) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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))))) (fma.f64 #s(literal -1 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 (/.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)))))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z)) |
| 8.0ms | y | @ | 0 | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z)) |
| 6.0ms | y | @ | inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z)) |
| 6.0ms | z | @ | -inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z)) |
| 5.0ms | y | @ | -inf | ((sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))))) z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)))) 1 (* 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z))) 1/2 (+ (* (/ x z) (/ x z)) (/ (* (/ y z) y) z)) (/ x z) x (/ (* (/ y z) y) z) (* (/ y z) y) (/ y z) y (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg z) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* 1/2 (/ (pow y 2) z)) (/ (pow y 2) z) (pow y 2) 2 (sqrt (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1))) (/ 1 (pow (+ (* z z) (+ (* x x) (* y y))) -1)) (pow (+ (* z z) (+ (* x x) (* y y))) -1) (+ (* z z) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) -1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)))) (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))) (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y)) (* (/ y (sqrt (* (* (* z z) z) z))) y) (/ y (sqrt (* (* (* z z) z) z))) (sqrt (* (* (* z z) z) z)) (* (* (* z z) z) z) (* (* z z) z) (* z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 473 |
| 0 | 82 | 416 |
| 1 | 396 | 385 |
| 2 | 1994 | 361 |
| 0 | 8110 | 334 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 x z) (/.f64 x z) (/.f64 (*.f64 (/.f64 y z) y) z)) |
(/.f64 x z) |
x |
(/.f64 (*.f64 (/.f64 y z) y) z) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (pow.f64 y #s(literal 2 binary64)) z) |
(pow.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64)) |
(fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y))) |
(fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)) |
(*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y) |
(/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (*.f64 z z) z) |
(*.f64 z z) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (-.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) z)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) z)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) z)) z) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z) |
(*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) z)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))) (+.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) (+.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))) (+.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))))) |
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) z) |
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (fabs.f64 z)) z) |
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (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 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) z) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y (*.f64 x x))) (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)) 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 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (neg.f64 z)) |
(-.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y (*.f64 x x)) z))) |
(-.f64 z (*.f64 (neg.f64 z) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))) |
(-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z)) |
(-.f64 z (neg.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
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(+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64))) |
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(*.f64 (*.f64 z (fabs.f64 z)) (*.f64 z (fabs.f64 z))) |
(*.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) |
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) (*.f64 z z))) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 z z) z) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (neg.f64 z))) |
(*.f64 z (*.f64 (*.f64 z z) z)) |
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) z) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 z) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 4 binary64)) |
(pow.f64 z #s(literal 4 binary64)) |
(/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -2 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z))) |
(fabs.f64 (*.f64 (*.f64 z z) (*.f64 (neg.f64 z) z))) |
(fabs.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 4 binary64))) |
(*.f64 (*.f64 z (fabs.f64 z)) (fabs.f64 z)) |
(*.f64 (pow.f64 z (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) |
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)) |
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) z)) |
(*.f64 (*.f64 (*.f64 z z) z) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) z) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) |
(*.f64 z (*.f64 z z)) |
(pow.f64 z #s(literal 3 binary64)) |
(neg.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))) |
(*.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 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.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 (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) (sqrt.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) z)) (sqrt.f64 (*.f64 (fabs.f64 z) z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (fabs.f64 z))) (sqrt.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 z (fabs.f64 z))) (sqrt.f64 (*.f64 z (fabs.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z z))) (sqrt.f64 (fabs.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (fabs.f64 z)) (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z z)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (*.f64 z z) (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 z) 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 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64))) |
(*.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 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (*.f64 z 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 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64))) |
(*.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 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z z) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) z)) (sqrt.f64 z)) |
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.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 (*.f64 (*.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 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) z)) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z)) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) |
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z))) |
(fabs.f64 (*.f64 (fabs.f64 z) z)) |
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z))) |
(fabs.f64 (*.f64 z (fabs.f64 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 (*.f64 (*.f64 (*.f64 z z) z) z)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
Compiled 28 975 to 11 759 computations (59.4% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 027 | 6 | 2 033 |
| Fresh | 4 | 12 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 2 035 | 24 | 2 059 |
| Status | Accuracy | Program |
|---|---|---|
| 42.5% | (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) | |
| 42.2% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))))) | |
| ✓ | 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 42.7% | (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) | |
| 42.6% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) | |
| 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z))) | |
| ✓ | 42.7% | (sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
| 42.6% | (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) | |
| 39.8% | (exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) | |
| 39.7% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64))) | |
| 73.4% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z))) | |
| ✓ | 95.5% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))) |
| 98.2% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y)))))) | |
| 99.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 z)))))) | |
| ✓ | 99.3% | #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)))) |
| 4.9% | #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))))))) | |
| 5.5% | #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)) |
| 4.0% | #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 y z) (*.f64 y #s(literal 1/2 binary64))))) | |
| 2.6% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) | |
| 4.3% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z)))) | |
| 1.9% | #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) |
Compiled 845 to 649 computations (23.2% 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) 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 (*.f64 y 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 (/.f64 y z) (*.f64 y #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 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 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 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 (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))) |
#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 (*.f64 (/.f64 y z) y) z)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 x z) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) y #s(literal 1 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 (/.f64 y (*.f64 z z)) y) z (*.f64 x (/.f64 x 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 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)) (*.f64 (/.f64 y (*.f64 z z)) y)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (/.f64 x z) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z z))) (*.f64 y z) z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (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 (/.f64 y (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) z) z))) y)))))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))) (*.f64 z z))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (+ (* (/ x z) (/ x z)) (* (/ y (sqrt (* (* (* z z) z) z))) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x z) (neg.f64 x)) (*.f64 (/.f64 y z) y)) (neg.f64 z)))))) |
9 calls:
| 49.0ms | y |
| 15.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 14.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 13.0ms | (*.f64 y y) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.f64 z z) |
| 99.6% | 1 | (*.f64 y y) |
| 99.6% | 1 | (*.f64 x x) |
| 99.6% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 99.6% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 99.6% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
Compiled 31 to 44 computations (-41.9% 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) 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 (*.f64 y 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 (/.f64 y z) (*.f64 y #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))) |
(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 z z))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 x x (*.f64 z z)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 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)))) |
9 calls:
| 19.0ms | z |
| 9.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 8.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (*.f64 z z) |
| 99.3% | 1 | (*.f64 y y) |
| 99.3% | 1 | (*.f64 x x) |
| 99.3% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 99.3% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 99.3% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 99.3% | 1 | x |
| 99.3% | 1 | y |
| 99.3% | 1 | z |
Compiled 31 to 44 computations (-41.9% saved)
Total -0.6b remaining (-1%)
Threshold costs -0.6b (-1%)
| Inputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) |
9 calls:
| 2.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | (*.f64 z z) |
| 1.7% | 1 | (*.f64 y y) |
| 1.7% | 1 | (*.f64 x x) |
| 1.7% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.7% | 1 | (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 1.7% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) |
| 1.7% | 1 | x |
| 1.7% | 1 | y |
| 1.7% | 1 | z |
Compiled 31 to 44 computations (-41.9% saved)
| 1× | fuel |
Compiled 44 to 37 computations (15.9% saved)
(abs z)
(abs y)
(abs x)
Compiled 531 to 524 computations (1.3% saved)
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