
Time bar (total: 4.3s)
| 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)
| 654.0ms | 8 256× | 0 | valid |
ival-mult!: 193.0ms (63.2% of total)ival-sqrt: 73.0ms (23.9% of total)ival-add!: 38.0ms (12.4% of total)adjust: 1.0ms (0.3% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 123 |
| 1 | 122 | 123 |
| 2 | 354 | 123 |
| 3 | 477 | 123 |
| 4 | 915 | 123 |
| 5 | 4333 | 123 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.7% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.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 | 1600 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 x x) |
x |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(*.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) (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 (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) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (* y y) (pow.f64 y #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 (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (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 (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (* x x) x (+ (* y y) (* z z)) (* 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) x (+ (* y y) (* z z)) (* 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) x (+ (* y y) (* z z)) (* 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) x (+ (* y y) (* z z)) (* 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) x (+ (* y y) (* z z)) (* y y) y (* z z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 15 | 42 |
| 1 | 76 | 42 |
| 2 | 295 | 42 |
| 3 | 1111 | 42 |
| 4 | 2129 | 42 |
| 5 | 7742 | 42 |
| 0 | 8008 | 37 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 x x) |
x |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64)))) |
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(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 y) y) (neg.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.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) y)) |
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 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 (*.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 (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 (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 4 518 to 1 929 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)))) | |
| ▶ | 42.4% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
| ▶ | 42.7% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| 5.8% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) | |
| ▶ | 81.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| 5.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| ▶ | 0.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
| 1.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
Compiled 292 to 292 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 2605 |
| 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 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.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)))) |
(+.f64 (pow.f64 y #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 (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 (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 (+ (* 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) (* z z)) (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 (* 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 (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (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 (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (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 | |
|---|---|---|---|---|
| 5.0ms | 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 y 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 y 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 y 2) (pow z 2))) |
| 2.0ms | 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 (* 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 y 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 y 2) (pow z 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 238 |
| 0 | 48 | 234 |
| 1 | 207 | 234 |
| 2 | 841 | 226 |
| 3 | 6099 | 226 |
| 0 | 8041 | 201 |
| 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 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.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)))) |
(+.f64 (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 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) z)) z) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z) |
(*.f64 (+.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) #s(literal 1/2 binary64)))) |
(*.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 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 z z)) z) (*.f64 z z)) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) z)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) (+.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)) (*.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))))) |
(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 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) #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 z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 z 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 (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
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x |
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y |
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(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x))) |
#s(approx (+ (* y y) (* z z)) (*.f64 z z)) |
(neg.f64 (neg.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1/2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64)) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64)) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 0 binary64))) |
(*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64))) |
(pow.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 1 binary64)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) |
(/.f64 (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64)) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1 binary64))) |
(sqrt.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(fabs.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z z)) y)) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y (*.f64 z z)))) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 y y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))) (+.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 z z) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 z z) (*.f64 (neg.f64 y) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z z) z) z)) (+.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z z) z) z)) (-.f64 (*.f64 y y) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z z) y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) y) y)))) |
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y y)))) |
(fma.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (*.f64 z z)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (*.f64 y y)) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (*.f64 z z)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 z z)) |
(fma.f64 (fabs.f64 z) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 y y)) |
(fma.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y)) |
(fma.f64 (fabs.f64 z) (fabs.f64 z) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 y y)) |
(fma.f64 z z (*.f64 y y)) |
(fma.f64 y y (*.f64 z z)) |
(-.f64 (*.f64 z z) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 z z) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
Compiled 22 854 to 9 734 computations (57.4% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 894 | 15 | 1 909 |
| Fresh | 1 | 4 | 5 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 900 | 19 | 1 919 |
| Status | Accuracy | Program |
|---|---|---|
| 42.2% | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))))) | |
| 42.4% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) | |
| 39.7% | (sqrt.f64 (fma.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 z z)) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) | |
| 42.4% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ▶ | 42.7% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
| 39.7% | (exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) #s(literal 1/2 binary64))) | |
| ▶ | 39.9% | (exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
| 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) y (*.f64 (/.f64 x (*.f64 z z)) x)))))) | |
| ▶ | 99.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
| 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))) | |
| 98.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) | |
| 5.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 1.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| 0.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) | |
| ▶ | 1.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| ▶ | 4.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
| 2.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
Compiled 662 to 616 computations (6.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 598 | 5624 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(/.f64 y z) |
y |
(*.f64 (/.f64 x (*.f64 z z)) x) |
(/.f64 x (*.f64 z z)) |
x |
(*.f64 z z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) |
(fma.f64 z z (*.f64 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 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) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) |
(log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (+.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 z)) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ x (* z z)) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) |
#s(approx x x) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 -1/4 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 1/6 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 3 binary64)))) (*.f64 #s(literal 1/4 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 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (log.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 2 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 (log (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (log.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 -1/2 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 (log (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (log.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 1/3 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 3 binary64)))) (*.f64 #s(literal 1/2 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 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 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 1/6 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 (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.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 (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 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 (/.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 (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 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 1/3 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 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/4 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 1/6 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 (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.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 (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/2 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 (/.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))))))) |
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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)))))))) |
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#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx y y) |
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#s(approx (+ (* z z) (* y y)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64))) |
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#s(approx (/ (pow y 2) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) |
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#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)))))))) |
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#s(approx (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (*.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))))))) |
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#s(approx (+ (* z z) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 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))))))) |
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#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (+.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)))))) |
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#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 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 1/3 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 (/.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)) |
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#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
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#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (+.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)))))) |
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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 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)))))))) |
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#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx z z) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
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#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
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#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) #s(literal 1 binary64)) |
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#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ (* z z) (* y y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/4 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 1/6 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 (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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)))))) |
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#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/4 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 1/6 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 (log (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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 (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/2 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))))))) |
#s(approx (log (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/2 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 1/3 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 (/.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)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | 0 | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/ y z) y (* (/ x (* z z)) x) (/ x (* z z)) x (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (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 (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log (+ (* x x) (+ (* y y) (* z z))))) |
| 6.0ms | z | @ | -inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/ y z) y (* (/ x (* z z)) x) (/ x (* z z)) x (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (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 (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log (+ (* x x) (+ (* y y) (* z z))))) |
| 5.0ms | x | @ | -inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/ y z) y (* (/ x (* z z)) x) (/ x (* z z)) x (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (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 (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log (+ (* x x) (+ (* y y) (* z z))))) |
| 5.0ms | z | @ | inf | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/ y z) y (* (/ x (* z z)) x) (/ x (* z z)) x (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (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 (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log (+ (* x x) (+ (* y y) (* z z))))) |
| 4.0ms | z | @ | 0 | ((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x))) 1/2 (+ (* (/ y z) (/ y z)) (* (/ x (* z z)) x)) (/ y z) y (* (/ x (* z z)) x) (/ x (* z z)) x (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y) (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 (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log (+ (* x x) (+ (* y y) (* z z))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 328 |
| 0 | 61 | 302 |
| 1 | 302 | 301 |
| 2 | 1241 | 283 |
| 0 | 8173 | 267 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x))))) |
z |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x))) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)) |
(/.f64 y z) |
y |
(*.f64 (/.f64 x (*.f64 z z)) x) |
(/.f64 x (*.f64 z z)) |
x |
(*.f64 z z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) |
(fma.f64 z z (*.f64 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 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) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) |
(log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)))) |
(*.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 (*.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 (+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) #s(literal 1/2 binary64)))) |
(*.f64 z (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 z (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 z z)) z) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) 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 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z) (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) (+.f64 z (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 (*.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 (*.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 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))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) #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 y y (*.f64 x x)) z) |
(fma.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.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 y y (*.f64 x x)) (fabs.f64 z)) z) |
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) z)) (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)) z) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) z)) (/.f64 (fma.f64 y y (*.f64 x x)) z) z) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) z (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) z (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) z (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64))) (fabs.f64 (/.f64 y z)) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64))) (fabs.f64 (/.f64 y z)) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64))) (fabs.f64 (/.f64 y z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64))) (/.f64 (neg.f64 y) z) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64))) (/.f64 (neg.f64 y) z) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64))) (/.f64 (neg.f64 y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) y)) (/.f64 y z) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) y)) (/.f64 y z) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) z) y)) (/.f64 y z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (fabs.f64 (/.f64 y z))) (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (fabs.f64 (/.f64 y z))) (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64)) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (fabs.f64 (/.f64 y z))) (*.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 y) z)) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 y) z)) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 y) z)) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 z (/.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (/.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (/.f64 y z)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 z (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) z) |
(fma.f64 (*.f64 z (*.f64 (/.f64 y (*.f64 z z)) y)) #s(literal 1/2 binary64) (fma.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) x)) x z)) |
(fma.f64 (*.f64 z (*.f64 (/.f64 y (*.f64 z z)) y)) #s(literal 1/2 binary64) (*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z (*.f64 (/.f64 y (*.f64 z z)) y)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 z z)) #s(literal 1 binary64)) z)) |
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z) |
(fma.f64 (/.f64 z (fabs.f64 z)) (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 z))) z) |
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(/.f64 (+.f64 (-.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (-.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (-.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fma.f64 (-.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) #s(literal 1/2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) #s(literal 1/2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))))) |
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (sinh.f64 (neg.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(exp.f64 (/.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(neg.f64 (neg.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))))) |
(log.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) |
(log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
Compiled 22 014 to 7 295 computations (66.9% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 578 | 5 | 1 583 |
| Fresh | 5 | 9 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 586 | 16 | 1 602 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 42.4% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ✓ | 42.7% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
| ▶ | 5.9% | (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
| 3.5% | (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))) | |
| ▶ | 98.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) |
| 5.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 1.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 0.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
| ✓ | 1.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| 4.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) | |
| ▶ | 4.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
| 4.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y))) | |
| 2.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
Compiled 557 to 555 computations (0.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 3850 |
| 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 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 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) |
#s(literal -1 binary64) |
(log.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| 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 (+ (* 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 x x) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 -1/4 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 1/6 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 3 binary64)))) (*.f64 #s(literal 1/4 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 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 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 1/6 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/4 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 1/6 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 (* (/ 1/2 z) (* y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx y y) |
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 -1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (* -1 (log (/ 1 y))) (log.f64 y)) |
#s(approx (log (/ 1 y)) (*.f64 #s(literal -1 binary64) (log.f64 y))) |
#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) 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 (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 #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 (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 (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (log (/ 1 y)) (log.f64 (/.f64 #s(literal 1 binary64) y))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 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 (neg z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 -1/4 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (log.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 1/6 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 3 binary64)))) (*.f64 #s(literal 1/4 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 2 binary64))))) (*.f64 #s(literal 1/2 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 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))) (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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/4 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 1/6 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/4 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 (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)) (fma.f64 #s(literal -1/4 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 1/6 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 | |
|---|---|---|---|---|
| 48.0ms | 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 z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* (/ 1/2 z) (* y y)) (/ 1/2 z) 1/2 (* y y) y (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (* -1 (log (/ 1 y))) -1 (log (/ 1 y)) (/ 1 y)) |
| 11.0ms | 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 z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* (/ 1/2 z) (* y y)) (/ 1/2 z) 1/2 (* y y) y (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (* -1 (log (/ 1 y))) -1 (log (/ 1 y)) (/ 1 y)) |
| 11.0ms | 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 z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* (/ 1/2 z) (* y y)) (/ 1/2 z) 1/2 (* y y) y (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (* -1 (log (/ 1 y))) -1 (log (/ 1 y)) (/ 1 y)) |
| 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 (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 z) (* y y)) (/ 1/2 z) 1/2 (* y y) y (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (* -1 (log (/ 1 y))) -1 (log (/ 1 y)) (/ 1 y)) |
| 2.0ms | 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 z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (* (/ 1/2 z) (* y y)) (/ 1/2 z) 1/2 (* y y) y (sqrt (+ (* z z) (+ (* y y) (* x x)))) (+ (* z z) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (exp (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2)) (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (* -1 (log (/ 1 y))) -1 (log (/ 1 y)) (/ 1 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 251 |
| 0 | 55 | 229 |
| 1 | 256 | 221 |
| 2 | 989 | 213 |
| 3 | 5492 | 213 |
| 0 | 8312 | 208 |
| 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 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 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 z z (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) |
#s(literal -1 binary64) |
(log.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| 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)) |
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y |
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(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y)) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y)) |
Compiled 6 738 to 2 434 computations (63.9% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 579 | 3 | 582 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 581 | 17 | 598 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))))) | |
| 5.9% | (*.f64 (sqrt.f64 (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y)))) (sqrt.f64 (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))))) | |
| ✓ | 42.7% | (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
| 42.4% | (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) | |
| ✓ | 42.7% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
| 3.5% | (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 5.9% | (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))) | |
| 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (*.f64 z z)) y)))))) | |
| ✓ | 98.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z #s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) #s(literal 1 binary64)))) |
| 5.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) | |
| 5.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) | |
| 1.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ✓ | 0.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
| ✓ | 1.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| 4.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) | |
| ✓ | 4.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
| 4.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y))) |
Compiled 685 to 445 computations (35% 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 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 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)))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
(sqrt.f64 (fma.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 z z)) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (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 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y)))) (sqrt.f64 (exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))))) |
#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) (fma.f64 (/.f64 y z) (/.f64 y z) (*.f64 (/.f64 x (*.f64 z z)) x)))))) |
9 calls:
| 67.0ms | z |
| 28.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 12.0ms | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 11.0ms | (*.f64 y y) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (*.f64 z z) |
| 99.1% | 1 | (*.f64 y y) |
| 99.1% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 99.1% | 1 | (*.f64 x x) |
| 99.1% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 99.1% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
Compiled 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 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) y))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) z))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) |
(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 y))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (log.f64 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)))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) |
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* y y) (* z z)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))) |
(sqrt.f64 (fma.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 z z)) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (fma.f64 z z (*.f64 y y)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (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)))))) |
| 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:
| 38.0ms | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 22.0ms | (*.f64 y y) |
| 15.0ms | y |
| 9.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | (*.f64 z z) |
| 98.9% | 1 | (*.f64 y y) |
| 98.9% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 98.9% | 1 | (*.f64 x x) |
| 98.9% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 98.9% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 98.9% | 1 | x |
| 98.9% | 1 | y |
| 98.9% | 1 | z |
Compiled 31 to 44 computations (-41.9% saved)
Total -0.6b remaining (-0.9%)
Threshold costs -0.6b (-0.9%)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
9 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | (*.f64 z z) |
| 1.6% | 1 | (*.f64 y y) |
| 1.6% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 1.6% | 1 | (*.f64 x x) |
| 1.6% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 1.6% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 1.6% | 1 | x |
| 1.6% | 1 | y |
| 1.6% | 1 | z |
Compiled 31 to 44 computations (-41.9% saved)
| 1× | fuel |
Compiled 42 to 35 computations (16.7% saved)
(abs z)
(abs y)
(abs x)
Compiled 513 to 498 computations (2.9% saved)
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