
Time bar (total: 2.9s)
| 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 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 4 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 5 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 6 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 7 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 8 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 9 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 10 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 11 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 12 |
Compiled 12 to 12 computations (0.0% saved)
| 453.0ms | 8 256× | 0 | valid |
| 127.0ms | 1 996× | 0 | invalid |
ival-mult!: 141.0ms (56.4% of total)ival-sqrt: 82.0ms (32.8% of total)ival-add!: 24.0ms (9.6% of total)adjust: 2.0ms (0.8% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 162 | 82 |
| 2 | 699 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 20 to 20 computations (0.0% saved)
| Inputs |
|---|
(/ 1 2) |
1 |
2 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 7 to 5 computations (28.6% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 439 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | y | -inf |
| 1.0ms | z | -inf |
| 1.0ms | x | -inf |
| 1.0ms | y | inf |
| 1.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 52 | 26 |
| 2 | 202 | 26 |
| 3 | 515 | 26 |
| 4 | 1355 | 26 |
| 0 | 4230 | 24 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))) |
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x))) |
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) |
y |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) |
(*.f64 (pow.f64 z #s(literal 0 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64))) |
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(sqrt.f64 z) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
Compiled 2 027 to 448 computations (77.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 9 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 9 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) | |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
| 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)))) | |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) | |
| ▶ | 79.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
| ▶ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| 49.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 52.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 280 to 242 computations (13.6% saved)
| Inputs |
|---|
1/2 |
1 |
(/ 1 2) |
2 |
-1/2 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 9 to 7 computations (22.2% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 1274 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x y)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))) |
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
#s(approx (pow z -1/2) (pow.f64 z #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) |
#s(approx (* y (/ 1 (pow z -1/2))) (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) |
#s(approx (pow z -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 28.0ms | y | -inf |
| 26.0ms | y | 0 |
| 22.0ms | y | inf |
| 19.0ms | z | inf |
| 19.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 188 |
| 0 | 58 | 168 |
| 1 | 220 | 168 |
| 2 | 694 | 168 |
| 3 | 2368 | 164 |
| 0 | 4514 | 152 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
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z |
y |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z)))) |
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
#s(literal -1/2 binary64) |
Compiled 41 997 to 6 288 computations (85.0% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 566 | 7 | 1 573 |
| Fresh | 4 | 0 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 572 | 10 | 1 582 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
| 99.7% | (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) | |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 79.6% | (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) | |
| ▶ | 49.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
| ▶ | 43.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
| ▶ | 43.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
| ✓ | 48.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| ✓ | 52.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 316 to 250 computations (20.9% saved)
| Inputs |
|---|
1 |
1/2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1152 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
| Outputs |
|---|
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx y y) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (* 1/2 z) y) (*.f64 #s(literal 1/2 binary64) (*.f64 y z))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (/ 1 (/ 1 (sqrt z))) (sqrt.f64 z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx z z) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (* 1/2 (* y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) z))) |
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (/ 1 (/ 1 (sqrt z))) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (+ (* (/ 1 (/ 1 (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (/ 1 (/ 1 (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (/ 1 (/ 1 (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 (sqrt z)) y) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 5.0ms | y | inf |
| 4.0ms | z | -inf |
| 3.0ms | z | 0 |
| 3.0ms | y | -inf |
| 3.0ms | z | inf |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 240 |
| 0 | 61 | 217 |
| 1 | 223 | 207 |
| 2 | 730 | 199 |
| 3 | 2739 | 178 |
| 0 | 4552 | 178 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
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z |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 z))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 z) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 z) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z) |
(*.f64 (*.f64 y z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 (*.f64 y z) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) y (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) y (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
Compiled 29 346 to 4 514 computations (84.6% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 208 | 4 | 1 212 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 214 | 8 | 1 222 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 79.6% | (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
| ▶ | 42.8% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ✓ | 49.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
| ▶ | 43.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
| ✓ | 52.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 49.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
Compiled 276 to 209 computations (24.3% saved)
| Inputs |
|---|
1 |
1/2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 2266 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (+.f64 (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 (sqrt z)) x) (/.f64 x (sqrt.f64 z))) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (/.f64 (*.f64 x z) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 x (+.f64 (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (*.f64 x (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
#s(approx (* y z) (*.f64 y z)) |
#s(approx (* 1/2 (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64)))))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 y (+.f64 (/.f64 z (sqrt.f64 z)) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z)))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 z (+.f64 (/.f64 x (pow.f64 (sqrt.f64 z) #s(literal 2 binary64))) (/.f64 y (sqrt.f64 z))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 (+.f64 (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z)) |
#s(approx (* (/ 1 (sqrt z)) x) (/.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/ 1 z)) (fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z))) |
#s(approx (* (/ 1 (sqrt z)) x) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 27.0ms | y | -inf |
| 7.0ms | y | inf |
| 5.0ms | z | -inf |
| 5.0ms | z | 0 |
| 4.0ms | z | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 300 |
| 0 | 69 | 291 |
| 1 | 262 | 257 |
| 2 | 1042 | 240 |
| 0 | 4176 | 229 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1/2 binary64)) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) z) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) (*.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z)))) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (sqrt.f64 z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (sqrt.f64 z)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (+.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x z) (sqrt.f64 z) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z) (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 z (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z)))) #s(literal 1/2 binary64)) (*.f64 z (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) z)))) |
(fma.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) z)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x z) z) (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (/.f64 x z) z))) (*.f64 (/.f64 x z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (/.f64 x z) z))) (*.f64 (/.f64 x z) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 x z) z))) (*.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (+.f64 y (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (fma.f64 (/.f64 x z) z (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) (*.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) z) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 y (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (sqrt.f64 z) (/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (/.f64 (+.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 z (/.f64 (fma.f64 y (sqrt.f64 z) x) z)) |
(/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 x z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) z) (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (sqrt.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (sqrt.f64 z)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 (/.f64 y #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y z)) |
(*.f64 (sqrt.f64 z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 z (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) (*.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 z (*.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 z (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) z) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) z) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 z))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) |
(/.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 y (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y z) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (*.f64 (neg.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 y z))) |
(neg.f64 (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)))) |
#s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
Compiled 35 151 to 5 461 computations (84.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 348 | 1 | 1 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 349 | 8 | 1 357 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 43.1% | (*.f64 (/.f64 #s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) | |
| ✓ | 42.8% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ✓ | 49.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ✓ | 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
| ✓ | 43.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
| ✓ | 52.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 49.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
Compiled 161 to 125 computations (22.4% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(*.f64 (/.f64 #s(approx (+ (* (* (/ 1 (sqrt z)) x) (/ 1 (sqrt z))) (* (/ 1 (sqrt z)) y)) (/.f64 y (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
21 calls:
| 19.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 6.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 52.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 52.6% | 1 | (sqrt.f64 z) |
| 52.6% | 1 | z |
| 52.6% | 1 | x |
| 52.6% | 1 | y |
| 52.6% | 1 | (*.f64 y (sqrt.f64 z)) |
| 66.7% | 2 | (sqrt.f64 z) |
| 83.7% | 3 | (*.f64 y (sqrt.f64 z)) |
| 65.1% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 65.1% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 78.3% | 3 | x |
| 81.3% | 3 | y |
| 66.7% | 2 | z |
| 99.9% | 1 | (sqrt.f64 z) |
| 99.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 489 to 217 computations (55.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 3.3181511625465136e+60 | 3.987565509721542e+60 |
| 10.0ms | -1.9100570682533363e+41 | -2.1249824313393286e+37 |
| 8.0ms | 160× | 0 | valid |
Compiled 296 to 298 computations (-0.7% saved)
ival-sqrt: 3.0ms (61.4% of total)ival-mult!: 1.0ms (20.5% of total)adjust: 0.0ms (0.0% of total)ival-add!: 0.0ms (0.0% of total)| 1× | fuel |
Compiled 83 to 25 computations (69.9% saved)
Compiled 93 to 35 computations (62.4% saved)
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