
Time bar (total: 3.3s)
| 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)
| 788.0ms | 8 256× | 0 | valid |
| 126.0ms | 2 101× | 0 | invalid |
ival-sqrt: 258.0ms (47.6% of total)ival-mult!: 257.0ms (47.5% of total)ival-add!: 25.0ms (4.6% of total)adjust: 2.0ms (0.4% 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 |
|---|---|---|
| ▶ | 99.5% | (*.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 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 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 | 435 |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
x |
y |
z |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx x x) |
#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 (* (/ 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 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 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 #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 (* (/ 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 y 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 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 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 z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#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) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* 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 (* (/ 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 (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 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 (* (/ 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)))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | y | -inf |
| 1.0ms | y | inf |
| 1.0ms | x | -inf |
| 1.0ms | z | -inf |
| 1.0ms | z | 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 |
|---|
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
x |
y |
z |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
x |
y |
z |
(*.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))) |
(*.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))) |
(*.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)) |
(*.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))) |
Compiled 2 027 to 451 computations (77.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 8 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 111 | 8 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
| ▶ | 99.5% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 99.4% | (*.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)))))) |
| ▶ | 99.3% | (*.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)))))) |
| 87.1% | #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))))) | |
| 50.6% | #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)))))) | |
| 50.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 50.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 244 to 210 computations (13.9% saved)
| Inputs |
|---|
1/2 |
1 |
2 |
(/ 1 2) |
-1/2 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 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 | 266 | 1550 |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
y |
x |
(*.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))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) y x) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(sqrt.f64 (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) |
(*.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(literal -1/2 binary64) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.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 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 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (* (sqrt z) 1/2) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (* (sqrt z) 1/2) 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 (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) |
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 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 (* (/ 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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x))))) |
#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 (* (/ 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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #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 (* (/ 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 y y) |
#s(approx (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 y (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 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 (* (/ 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 (+ (* (* (sqrt z) 1/2) 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 (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 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 (* (/ 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 z z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt (sqrt z)) (sqrt.f64 (sqrt.f64 z))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (pow z -1/2) (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 (* (/ 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 (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (* (sqrt z) 1/2) 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) 1/2) 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 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 (sqrt z)) (*.f64 z (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))) |
#s(approx (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))))) |
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (pow z -1/2) (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 (* y (/ 1 (pow z -1/2))) (/.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 (* (/ 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 (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (sqrt z) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (* (sqrt z) 1/2) 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) 1/2) 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 (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))) |
#s(approx (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))))) |
#s(approx (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 47.0ms | z | -inf |
| 38.0ms | y | -inf |
| 25.0ms | y | inf |
| 22.0ms | y | 0 |
| 14.0ms | z | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 131 |
| 0 | 54 | 100 |
| 1 | 217 | 92 |
| 2 | 641 | 92 |
| 3 | 2468 | 92 |
| 0 | 4149 | 92 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
y |
x |
(*.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))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) y x) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(sqrt.f64 (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) |
(*.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(literal -1/2 binary64) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.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 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 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
z |
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 z (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/4 binary64))) |
(*.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 (sqrt.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) 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 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 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 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.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 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.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 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) 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 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) |
(*.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 #s(literal -1 binary64) #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.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 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal -1 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
(/.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.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 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #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 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (-.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) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #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 x #s(literal 1/2 binary64)) (*.f64 x #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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.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 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)) (*.f64 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 (neg.f64 y) (sqrt.f64 (sqrt.f64 z))) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.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 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #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 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.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 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 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 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
Compiled 23 207 to 4 113 computations (82.3% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 079 | 10 | 1 089 |
| Fresh | 3 | 0 | 3 |
| Picked | 5 | 0 | 5 |
| Done | -3 | 3 | 0 |
| Total | 1 084 | 13 | 1 097 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.8% | (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
| 99.4% | (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) y x) #s(literal 1/2 binary64)) | |
| 99.3% | (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)) x) #s(literal 1/2 binary64)) | |
| ▶ | 99.4% | (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.5% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
| 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))) | |
| ▶ | 86.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
| 50.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)) | |
| ▶ | 50.7% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| 89.7% | #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)))))))) | |
| ✓ | 50.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 330 to 278 computations (15.8% saved)
| Inputs |
|---|
1/2 |
1 |
2 |
(sqrt 2) |
(/ 1 2) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 10 to 7 computations (30.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 1797 |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
y |
x |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+.f64 x (/.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 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 x z) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))) |
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x))))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)) #s(literal 1 binary64))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#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 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 x y)))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x y)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* (+ (* (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 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx z z) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (sqrt (* 1/2 z)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))))) |
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1/2 (sqrt (/ 1 z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt z) (*.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 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 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 (* 1/2 z)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))) |
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))) |
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 z (fma.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))) (/.f64 x z)))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (* (/ 1 2) (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.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 (* y (sqrt z)) (*.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) 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 (* 1/2 z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))) |
#s(approx (* (sqrt 2) (sqrt (* 1/2 z))) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))) |
#s(approx (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 z))) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))) |
#s(approx (* (+ (* (* (sqrt 2) (sqrt (* 1/2 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 40.0ms | y | 0 |
| 4.0ms | z | -inf |
| 4.0ms | z | 0 |
| 3.0ms | y | -inf |
| 3.0ms | z | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 0 | 60 | 181 |
| 1 | 224 | 175 |
| 2 | 780 | 164 |
| 3 | 2727 | 164 |
| 0 | 4040 | 161 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
y |
x |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+.f64 x (/.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 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 x z) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.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)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (+.f64 z z) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 (+.f64 z z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
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#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
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#s(literal 2 binary64) |
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(/.f64 (*.f64 z (neg.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) z) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) (-.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z) (*.f64 (neg.f64 x) z)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) z)) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) z) z) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) z))) |
(neg.f64 (*.f64 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) z)) |
(neg.f64 (*.f64 z (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
(neg.f64 (neg.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z) y x) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) z x) |
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z x) |
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(fma.f64 z (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) x) |
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) |
(-.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) y)) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z)) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 y z))) |
(-.f64 x (*.f64 (neg.f64 z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(+.f64 (*.f64 z (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) x) |
(+.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) z) x) |
(+.f64 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) |
(+.f64 x (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))) |
(neg.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal -1/2 binary64))) |
Compiled 21 554 to 4 179 computations (80.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 054 | 5 | 1 059 |
| Fresh | 5 | 0 | 5 |
| Picked | 5 | 0 | 5 |
| Done | -1 | 4 | 3 |
| Total | 1 063 | 9 | 1 072 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
| ▶ | 99.7% | (fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.5% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 50.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
| ▶ | 47.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64)) |
| ✓ | 50.7% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 89.6% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
| ▶ | 50.6% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
| ✓ | 50.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 267 to 219 computations (18.0% saved)
| Inputs |
|---|
1/2 |
1 |
2 |
(sqrt 2) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 6369051672525773/4503599627370496 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 7 to 6 computations (14.3% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 1443 |
| 1× | iter-limit |
| Inputs |
|---|
z |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) |
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) |
y |
x |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.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)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.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))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(*.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* (+ (* (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 (* x (sqrt (/ 1 z))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ y (* x (sqrt (/ 1 z)))) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 1/2 (/ y (* x (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) x)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 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 (* (+ (* (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 y y) |
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (sqrt 2) y) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 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 (* (+ (* (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 (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx z z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z))) |
#s(approx (* 1/2 (/ z (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (* 1/2 (/ y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (* z 1/2) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (sqrt (* z 1/2)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* x (sqrt (/ 1 z))) (/.f64 (*.f64 x (sqrt.f64 z)) z)) |
#s(approx (/ y (* x (sqrt (/ 1 z)))) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) |
#s(approx (* 1/2 (/ y (* x (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) |
#s(approx (+ 1/2 (* 1/2 (/ y (* x (sqrt (/ 1 z)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* 1/2 (/ z (sqrt z))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#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 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 1/2)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))) |
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ z (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* 1/2 (/ z (sqrt z))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x 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) 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 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))) |
#s(approx (* (* (sqrt 2) y) (sqrt (* z 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) z))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 23.0ms | z | inf |
| 23.0ms | x | -inf |
| 5.0ms | z | -inf |
| 5.0ms | y | -inf |
| 4.0ms | y | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 323 |
| 0 | 72 | 321 |
| 1 | 253 | 317 |
| 2 | 841 | 308 |
| 3 | 3177 | 281 |
| 0 | 4316 | 256 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
z |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) |
#s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) |
y |
x |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.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)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.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))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(*.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
| Outputs |
|---|
z |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 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 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) |
(*.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 #s(literal 1 binary64) #s(literal -1/2 binary64)) (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) |
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 z (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(sqrt.f64 (/.f64 (*.f64 z z) z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(sqrt.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 z) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 z))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64))) |
(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))) |
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 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 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) |
(*.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 #s(literal 1 binary64) #s(literal -1/2 binary64)) (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) |
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
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y |
x |
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)) x)) |
(neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (sqrt.f64 z) x) #s(literal -1/2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (/.f64 y x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x y) (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (sqrt.f64 z) (neg.f64 x)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x x) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 z) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 x x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (/.f64 y x) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
(-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)) |
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
Compiled 29 706 to 5 162 computations (82.6% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 060 | 5 | 1 065 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 066 | 8 | 1 074 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 50.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) | |
| ✓ | 47.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64)) |
| 51.0% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)) | |
| 88.6% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64)))) | |
| 50.6% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))) | |
| 45.0% | #s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))) | |
| ✓ | 50.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 163 to 126 computations (22.7% 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)))) |
| Outputs |
|---|
#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)))) |
#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)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)) |
(*.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) x)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)) |
#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)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)) |
(*.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 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 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)))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y)) |
(*.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 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ y (sqrt (/ 1 z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
(*.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)))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ 1/2 (sqrt (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z))) y x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ 1/2 (sqrt (/ 1 z))) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)))) |
(*.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))))) |
#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)))))))) |
(*.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)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
29 calls:
| 27.0ms | (sqrt.f64 z) |
| 14.0ms | x |
| 13.0ms | z |
| 11.0ms | z |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 50.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 50.7% | 1 | (sqrt.f64 z) |
| 50.7% | 1 | z |
| 50.7% | 1 | y |
| 50.7% | 1 | (*.f64 y (sqrt.f64 z)) |
| 50.7% | 1 | x |
| 79.8% | 3 | x |
| 66.3% | 5 | (sqrt.f64 z) |
| 76.5% | 3 | (*.f64 y (sqrt.f64 z)) |
| 63.3% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 63.3% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 80.1% | 3 | x |
| 76.0% | 3 | y |
| 66.3% | 5 | z |
| 99.5% | 1 | (sqrt.f64 z) |
| 99.5% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.5% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 609 to 290 computations (52.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 1.8010225000052184e+66 | 6.311699275175158e+71 |
| 10.0ms | -5802490343753.829 | -2983007391.14378 |
| 85.0ms | 272× | 0 | valid |
Compiled 574 to 543 computations (5.4% saved)
ival-mult!: 76.0ms (97.1% of total)ival-sqrt: 2.0ms (2.6% of total)ival-add!: 1.0ms (1.3% of total)adjust: 0.0ms (0.0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8010225000052184e+66 | 6.311699275175158e+71 |
| 1.0ms | -5802490343753.829 | -2983007391.14378 |
Compiled 540 to 526 computations (2.6% saved)
| 1× | fuel |
Compiled 138 to 39 computations (71.7% saved)
Compiled 148 to 49 computations (66.9% saved)
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