
Time bar (total: 1.7min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 1 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 2 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 3 |
| 100.0% | 99.9% | 0.0% | 0.1% | 0.0% | 0.0% | 0.0% | 4 |
Compiled 14 to 11 computations (21.4% saved)
| 553.0ms | 8 256× | 0 | valid |
ival-mult!: 153.0ms (50.6% of total)ival-sqrt: 96.0ms (31.8% of total)ival-add!: 43.0ms (14.2% of total)adjust: 10.0ms (3.3% 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 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.9% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
(abs x)
(abs y)
(abs z)
(sort x y)
(sort x z)
(sort y z)
Compiled 24 to 18 computations (25.0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1698 |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
z |
(*.f64 z z) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx y y) |
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx z z) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 9.0ms | z | 0 |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
| 1.0ms | y | -inf |
| 1.0ms | z | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 15 | 42 |
| 1 | 76 | 42 |
| 2 | 295 | 42 |
| 3 | 1111 | 42 |
| 4 | 2129 | 42 |
| 0 | 4090 | 42 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
z |
(*.f64 z z) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
x |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
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(*.f64 (neg.f64 x) (neg.f64 x)) |
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(*.f64 x x) |
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(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
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(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 x (fabs.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
y |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1/2 binary64))) |
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(*.f64 y y) |
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(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
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(/.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) |
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) |
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) |
(fabs.f64 (*.f64 y (fabs.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) |
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) |
(fabs.f64 (*.f64 (fabs.f64 y) y)) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
z |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64))) |
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(*.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 z z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 y) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))))) |
(/.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x)))) (-.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z z) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))) (*.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (*.f64 (*.f64 z z) z) z)) (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 z z) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y)))))) |
(/.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64))) |
(neg.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z))) |
(-.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(-.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))) |
(-.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) |
(sqrt.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
(fabs.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z))) |
(fabs.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (*.f64 z z) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 y y) (+.f64 (*.f64 z z) (*.f64 x x))) |
(+.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (*.f64 z z)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) |
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(fabs.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1/2 binary64))) |
Compiled 10 034 to 1 895 computations (81.1% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 421 | 9 | 430 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | -1 | 1 | 0 |
| Total | 421 | 10 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| 48.6% | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) | |
| ✓ | 48.9% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| ▶ | 48.0% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
| 5.5% | (sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) | |
| ▶ | 84.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| 5.6% | #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))))))) |
| ▶ | 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
| 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) | |
| ▶ | 1.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
Compiled 414 to 281 computations (32.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 3676 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 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)))) |
(+.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))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (pow x 2) (pow y 2)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.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 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (/.f64 (+.f64 (*.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))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (+.f64 (*.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))) x)) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.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) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.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(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (+.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 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ (pow x 2) (pow y 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx z z) |
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (* -1 z) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (/ (+ (pow y 2) (pow z 2)) (pow x 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | y | 0 |
| 5.0ms | z | inf |
| 4.0ms | x | inf |
| 3.0ms | y | inf |
| 3.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 285 |
| 0 | 54 | 281 |
| 1 | 253 | 281 |
| 2 | 1186 | 265 |
| 0 | 4129 | 245 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) z) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 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)))) |
(+.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))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
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(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) x) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))) (+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))) (+.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (*.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) |
(-.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) |
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x)) |
(+.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x))) |
| 3.0s | 51 114× | 0 | valid |
| 1.1s | 18 262× | 0 | invalid |
Compiled 50 515 to 7 500 computations (85.2% saved)
ival-mult!: 1.1s (77.9% of total)ival-sub!: 208.0ms (15.3% of total)adjust: 94.0ms (6.9% of total)12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 297 | 9 | 1 306 |
| Fresh | 2 | 2 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 304 | 12 | 1 316 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x))))) | |
| ✓ | 48.9% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| ▶ | 48.0% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
| 86.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) | |
| ▶ | 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))) |
| 5.6% | #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))))))) | |
| ▶ | 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))) |
| 3.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) | |
| ▶ | 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
| 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) | |
| ▶ | 1.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| 6.0% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) |
| 36.0ms | 730× | 0 | valid |
| 19.0ms | 294× | 0 | invalid |
Compiled 578 to 377 computations (34.8% saved)
ival-mult!: 14.0ms (79.8% of total)ival-sub!: 3.0ms (17.1% of total)adjust: 1.0ms (5.7% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 3756 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(neg.f64 x) |
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) y) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (*.f64 z z)) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 y) |
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* 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 (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) x)) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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 (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.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 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (+.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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) 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))))))) |
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* z z)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx z z) |
#s(approx (/ 1 (* z z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ (* x x) (+ (* y y) (* z z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ 1 (* x x)) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (* (/ 1 (* z z)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 |
|---|---|---|
| 3.0ms | x | 0 |
| 2.0ms | z | 0 |
| 2.0ms | z | inf |
| 2.0ms | z | -inf |
| 2.0ms | x | inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 274 |
| 0 | 56 | 272 |
| 1 | 267 | 248 |
| 2 | 1147 | 248 |
| 0 | 4157 | 248 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(neg.f64 x) |
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) y) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
(*.f64 x x) |
#s(approx (+ (* y y) (* z z)) (*.f64 z z)) |
(+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 y) |
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 z)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 z)) (*.f64 #s(literal -1 binary64) (fabs.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 #s(literal -1 binary64) (neg.f64 z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 z) #s(literal -1 binary64)) (*.f64 (fabs.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal -1 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 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z)) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z 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) (neg.f64 (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 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
(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)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) |
(neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 z z))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 0 binary64))) |
(+.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 z)) (/.f64 #s(literal -1 binary64) (fabs.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal -1 binary64) (fabs.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 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 #s(literal 1 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.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 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) (/.f64 #s(literal 1 binary64) (fabs.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) (fabs.f64 z)) (neg.f64 (fabs.f64 z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 z)) #s(literal 2 binary64)) (*.f64 (fabs.f64 z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 z))) (*.f64 #s(literal 2 binary64) (fabs.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) z)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x))) (+.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x)) (*.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (-.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)) x)) |
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 x))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x) x)) |
(-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (neg.f64 x)) |
(-.f64 x (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) x)) |
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x)) |
| 29.3s | 460 402× | 0 | valid |
| 15.3s | 197 262× | 0 | invalid |
Compiled 114 581 to 15 098 computations (86.8% saved)
ival-mult!: 11.7s (71.9% of total)adjust: 2.6s (15.8% of total)ival-sub!: 2.0s (12.2% of total)16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 182 | 7 | 3 189 |
| Fresh | 0 | 6 | 6 |
| Picked | 5 | 0 | 5 |
| Done | -2 | 3 | 1 |
| Total | 3 185 | 16 | 3 201 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x))))) | |
| ✓ | 48.9% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| ✓ | 48.0% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
| ▶ | 86.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
| 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y y (neg.f64 x) x)))) | |
| 96.4% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x 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) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))) |
| 5.6% | #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))))))) | |
| 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) | |
| ▶ | 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))) |
| 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y))))) | |
| 3.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) | |
| 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) | |
| ▶ | 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
| ✓ | 1.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| ▶ | 6.0% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) |
| 123.0ms | 2 178× | 0 | valid |
| 62.0ms | 894× | 0 | invalid |
Compiled 791 to 513 computations (35.1% saved)
ival-mult!: 49.0ms (79.0% of total)ival-sub!: 9.0ms (14.5% of total)adjust: 4.0ms (6.5% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 498 | 4160 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(log.f64 z) |
#s(literal -2 binary64) |
(*.f64 (log.f64 z) #s(literal -2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) |
(neg.f64 x) |
(134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))) |
(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
(*.f64 y y) |
(*.f64 x x) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z) |
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))) |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (pow.f64 z #s(literal 2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* 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 (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* (+ (* y y) (* x x)) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))) |
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (/ 1 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) x)) |
#s(approx (/ (pow z 2) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) |
#s(approx (* 1/2 (/ (pow z 2) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (+.f64 (*.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))) x)) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* x x)) (*.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 (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 z (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.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 (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.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(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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 (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.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 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.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 (neg y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) |
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (+.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 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) 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))))))) |
#s(approx (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (* y y) (* 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 (* (+ (* y y) (* x x)) 1/2) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.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))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.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) (+.f64 (*.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) (+.f64 (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx z z) |
#s(approx (log z) (log.f64 z)) |
#s(approx (* (log z) -2) (*.f64 #s(literal -2 binary64) (log.f64 z))) |
#s(approx (exp (* (log z) -2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))) |
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) z)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))) z)) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (pow z 2) (pow.f64 z #s(literal 2 binary64))) |
#s(approx (log z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (log z) -2) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 x) x) (- (* z z) (* (neg y) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 1/2 (* (/ (/ 1 x) x) (- (* z z) (* (neg y) y)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* z (+ 1 (* 1/2 (* (exp (* (log z) -2)) (- (* y y) (* (neg x) x)))))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.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) (+.f64 (*.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 (*.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 (/ (* (+ (* y y) (* x x)) 1/2) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 37.0ms | z | 0 |
| 10.0ms | z | inf |
| 10.0ms | z | -inf |
| 6.0ms | y | 0 |
| 4.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 367 |
| 0 | 80 | 355 |
| 1 | 389 | 339 |
| 2 | 1522 | 339 |
| 0 | 4084 | 331 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(log.f64 z) |
#s(literal -2 binary64) |
(*.f64 (log.f64 z) #s(literal -2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) |
(neg.f64 x) |
(134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))) |
(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
(*.f64 y y) |
(*.f64 x x) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z) |
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y) |
(*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))) |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (pow.f64 z #s(literal 2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 #s(literal 1 binary64))) |
(log.f64 z) |
#s(literal -2 binary64) |
(*.f64 #s(literal -2 binary64) (log.f64 z)) |
(*.f64 (log.f64 z) (log.f64 (exp.f64 #s(literal -2 binary64)))) |
(*.f64 (log.f64 z) #s(literal -2 binary64)) |
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -2 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 z)) |
(pow.f64 (*.f64 z z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
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(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)) x) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z z) (*.f64 y y))) x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))) (+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))) (+.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (*.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) (-.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))))) |
(-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))) x)) |
(-.f64 x (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))))) |
(+.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y))) x) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (*.f64 z z) (*.f64 y y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (*.f64 z z) (*.f64 y y))) #s(literal -1 binary64)) x)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 (*.f64 z z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 z z) |
(pow.f64 (neg.f64 (neg.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 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 z) (log.f64 z))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x)) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z x) (/.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 z x) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x)) |
(*.f64 (/.f64 (*.f64 z z) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) |
(*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) |
(*.f64 z (/.f64 z x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x)) |
(/.f64 (*.f64 z z) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z z))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) x) (/.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) x) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64))) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) |
#s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 (/.f64 (*.f64 z z) x) #s(literal 1/2 binary64)))) |
| 22.6s | 336 981× | 0 | valid |
| 5.9s | 98 731× | 0 | invalid |
Compiled 99 461 to 12 543 computations (87.4% saved)
ival-mult!: 6.8s (63.5% of total)ival-sub!: 3.3s (30.7% of total)adjust: 615.0ms (5.8% of total)18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 489 | 7 | 2 496 |
| Fresh | 4 | 4 | 8 |
| Picked | 5 | 0 | 5 |
| Done | -4 | 7 | 3 |
| Total | 2 494 | 18 | 2 512 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x))))) | |
| ✓ | 48.9% | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| ✓ | 48.0% | (sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
| 99.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x))) | |
| ✓ | 86.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
| ✓ | 98.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 x) x))))) |
| 5.6% | #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))))))) | |
| 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) | |
| 1.6% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) z (/.f64 z (*.f64 x x)) (/.f64 (neg.f64 y) x) (/.f64 y x))))) | |
| ✓ | 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))) |
| 2.9% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y))))) | |
| 3.5% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) | |
| 0.8% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) | |
| ✓ | 1.2% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
| ✓ | 1.7% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| 6.0% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) | |
| 6.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) | |
| 6.1% | #s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))))) |
| 78.0ms | 903× | 0 | valid |
| 54.0ms | 633× | 0 | invalid |
Compiled 486 to 321 computations (34.0% saved)
ival-mult!: 45.0ms (85.0% of total)ival-sub!: 6.0ms (11.3% of total)adjust: 3.0ms (5.7% of total)| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (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 x #s(approx (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 z x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) x))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) z))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) z z (neg.f64 y) y)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y y (neg.f64 x) x)))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 x x)) z z (neg.f64 y) y))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y y (neg.f64 x) x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (/.f64 (/.f64 #s(literal 1 binary64) x) x) z z (neg.f64 y) y))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) z (/.f64 z (*.f64 x x)) (/.f64 (neg.f64 y) x) (/.f64 y x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(approx (+ (* y y) (* z z)) (*.f64 z z)) (*.f64 x x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (134-z0z1z2z3z4 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(approx (+ (* y y) (* z z)) (pow.f64 z #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.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 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) z z (neg.f64 y) y))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (134-z0z1z2z3z4 (exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) y y (neg.f64 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 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (134-z0z1z2z3z4 (/.f64 #s(literal 1/2 binary64) z) y y (neg.f64 x) x))) |
63 calls:
| 17.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 10.0ms | (*.f64 y y) |
| 9.0ms | y |
| 9.0ms | z |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | x |
| 1.7% | 1 | (*.f64 x x) |
| 1.7% | 1 | (*.f64 y y) |
| 1.7% | 1 | y |
| 1.7% | 1 | (*.f64 z z) |
| 1.7% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 1.7% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 1.7% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 1.7% | 1 | z |
| 3.5% | 1 | (*.f64 z z) |
| 3.5% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 3.5% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 3.5% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 3.5% | 1 | (*.f64 y y) |
| 3.5% | 1 | y |
| 3.5% | 1 | z |
| 3.5% | 1 | (*.f64 x x) |
| 3.5% | 1 | x |
| 6.1% | 1 | (*.f64 y y) |
| 6.1% | 1 | y |
| 6.1% | 1 | z |
| 6.1% | 1 | (*.f64 x x) |
| 6.1% | 1 | x |
| 6.1% | 1 | (*.f64 z z) |
| 6.1% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 6.1% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 6.1% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 48.0% | 1 | (*.f64 y y) |
| 48.0% | 1 | (*.f64 x x) |
| 48.0% | 1 | y |
| 48.0% | 1 | z |
| 48.0% | 1 | (*.f64 z z) |
| 48.0% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 48.0% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 48.0% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 48.0% | 1 | x |
| 48.9% | 1 | (*.f64 x x) |
| 48.9% | 1 | x |
| 48.9% | 1 | (*.f64 z z) |
| 48.9% | 1 | (*.f64 y y) |
| 48.9% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 48.9% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 48.9% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 48.9% | 1 | y |
| 48.9% | 1 | z |
| 86.7% | 1 | (*.f64 z z) |
| 86.7% | 1 | (*.f64 y y) |
| 86.7% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 86.7% | 1 | (*.f64 x x) |
| 86.7% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 86.7% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 86.7% | 1 | x |
| 86.7% | 1 | y |
| 86.7% | 1 | z |
| 99.5% | 1 | (*.f64 z z) |
| 99.5% | 1 | (*.f64 y y) |
| 99.5% | 1 | (+.f64 (*.f64 y y) (*.f64 z z)) |
| 99.5% | 1 | (*.f64 x x) |
| 99.5% | 1 | (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z))) |
| 99.5% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y y) (*.f64 z z)))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 111.0ms | 1 770× | 0 | valid |
| 61.0ms | 790× | 0 | invalid |
Compiled 1 172 to 478 computations (59.2% saved)
ival-mult!: 46.0ms (81.6% of total)ival-sub!: 7.0ms (12.4% of total)adjust: 3.0ms (5.3% of total)| 1× | fuel |
| 16.0ms | 256× | 0 | valid |
Compiled 163 to 50 computations (69.3% saved)
ival-mult!: 4.0ms (88.7% of total)ival-sub!: 1.0ms (22.2% of total)adjust: 0.0ms (0.0% of total)(sort x y)
(sort x z)
| 827.0ms | 13 632× | 0 | valid |
Compiled 3 843 to 2 424 computations (36.9% saved)
ival-mult!: 215.0ms (79.4% of total)ival-sub!: 39.0ms (14.4% of total)adjust: 17.0ms (6.3% of total)Loading profile data...