
Time bar (total: 3.1s)
| 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)
| 1.0s | 8 256× | 0 | valid |
| 92.0ms | 2 041× | 0 | invalid |
ival-mult!: 427.0ms (65.3% of total)ival-sqrt: 192.0ms (29.3% of total)ival-add!: 34.0ms (5.2% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 162 | 82 |
| 2 | 699 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 20 to 20 computations (0.0% saved)
| Inputs |
|---|
1 |
2 |
(/ 1 2) |
| Outputs |
|---|
#s(literal 1 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 | z | -inf |
| 1.0ms | x | -inf |
| 1.0ms | x | 0 |
| 1.0ms | y | 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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 9 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 9 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 36.2% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.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))))) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) |
| 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) | |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) | |
| ▶ | 85.3% | #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))))) |
| ▶ | 47.0% | #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)))))) |
| 47.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 54.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 322 to 254 computations (21.1% saved)
| Inputs |
|---|
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) |
| 0.0ms | 1× | 0 | valid |
Compiled 8 to 6 computations (25.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1329 |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
y |
x |
(fma.f64 (sqrt.f64 z) y 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) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
(*.f64 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 (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(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 z #s(literal 1 binary64)) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))) |
(+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) |
| Outputs |
|---|
#s(approx x x) |
#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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* 1/2 (/ x z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (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) 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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.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) 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1/2 binary64))))) |
#s(approx y y) |
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 y (+.f64 (/.f64 x y) (/.f64 z (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (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) (/.f64 z (sqrt.f64 z))))))) |
#s(approx z 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 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 (sqrt.f64 z)) z)) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (/ (pow z 1) (sqrt z)) (/.f64 z (sqrt.f64 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 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 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (pow z 1) (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* y (/ (pow z 1) (sqrt z))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt 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 (+ (* (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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
#s(approx (/ (pow z 1) (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* y (/ (pow z 1) (sqrt z))) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ x (* y (/ (pow z 1) (sqrt z)))) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 8.0ms | y | -inf |
| 5.0ms | z | -inf |
| 4.0ms | x | 0 |
| 4.0ms | z | 0 |
| 3.0ms | y | 0 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 191 |
| 0 | 57 | 158 |
| 1 | 217 | 158 |
| 2 | 766 | 158 |
| 3 | 2555 | 130 |
| 0 | 4311 | 130 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
y |
x |
(fma.f64 (sqrt.f64 z) y 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) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#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 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
(*.f64 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 (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(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 z #s(literal 1 binary64)) |
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))) |
(+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) |
| Outputs |
|---|
z |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 z) z))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (neg.f64 z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.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 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
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(fma.f64 (/.f64 (*.f64 (neg.f64 y) z) z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (/.f64 (*.f64 y z) z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 (*.f64 y z) z) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 y z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 x z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.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 (neg.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) z (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 (*.f64 y (sqrt.f64 z)) #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 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) z) z) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.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 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) z)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
Compiled 28 072 to 4 780 computations (83.0% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 136 | 8 | 1 144 |
| Fresh | 4 | 0 | 4 |
| Picked | 5 | 0 | 5 |
| Done | -2 | 2 | 0 |
| Total | 1 143 | 10 | 1 153 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) | |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 47.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 43.6% | #s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ▶ | 99.9% | #s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| 42.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) | |
| 43.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) | |
| ▶ | 44.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
| ▶ | 44.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
| ✓ | 54.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 345 to 282 computations (18.3% saved)
| Inputs |
|---|
1/2 |
1 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 1483 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#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 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(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)) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
(*.f64 y z) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
| Outputs |
|---|
#s(approx x x) |
#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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (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) 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ 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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 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) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.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) 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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ 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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx y y) |
#s(approx (/ y (sqrt z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (* z (/ y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (* y z) (*.f64 y z)) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ 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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (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) (/.f64 z (sqrt.f64 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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx z z) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.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 (* y (sqrt (/ 1 z))) (/.f64 (*.f64 y (sqrt.f64 z)) z)) |
#s(approx (* 1/2 (* y (sqrt (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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 (+ (* (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 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 (/ y (sqrt z)) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.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 (/ y (sqrt z)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (/ y (sqrt z))) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 1/2 (* z (/ y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | z | -inf |
| 5.0ms | y | 0 |
| 4.0ms | y | -inf |
| 3.0ms | y | inf |
| 3.0ms | z | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 258 |
| 0 | 67 | 246 |
| 1 | 265 | 236 |
| 2 | 925 | 236 |
| 3 | 3148 | 207 |
| 0 | 4246 | 195 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#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 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(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)) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
(*.f64 y z) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 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 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #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 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 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 (/.f64 #s(literal -1 binary64) z) #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 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.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 #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)) |
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sqrt.f64 z) 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 #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) (pow.f64 z #s(literal 0 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 (/.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)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 (/.f64 (sqrt.f64 z) z) (sqrt.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))) |
(fabs.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))) |
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) z))) |
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) z)) |
(fabs.f64 (/.f64 #s(literal 1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1/2 binary64))) |
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(*.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z) |
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) z) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 z y) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
(fma.f64 (neg.f64 y) (neg.f64 z) (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 z) (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(fma.f64 (neg.f64 z) (neg.f64 y) (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 z) (neg.f64 y) (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(fma.f64 z y (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 z y (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(fma.f64 y z (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 y z (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(+.f64 (*.f64 z y) (*.f64 (*.f64 z y) #s(literal 0 binary64))) |
(+.f64 (*.f64 z y) (*.f64 #s(literal 0 binary64) (*.f64 z y))) |
(*.f64 (/.f64 z (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 z) z) (/.f64 y z)) |
(*.f64 (/.f64 y z) (*.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 z y) z) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 z y)) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 z y) z) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) z) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 z y) (sqrt.f64 z)) |
(/.f64 y (/.f64 (sqrt.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) y)) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 z)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) z) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) z) (*.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) (/.f64 y z)) |
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) z) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (/.f64 (*.f64 z y) (neg.f64 z)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (/.f64 (*.f64 z y) z) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (/.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z) |
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) z) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 y z) (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 z) z) y) |
(*.f64 y (/.f64 (sqrt.f64 z) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 y z) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 z) y) z) |
(/.f64 y (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y)) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) z) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) z)) |
Compiled 34 937 to 5 181 computations (85.2% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 159 | 4 | 1 163 |
| Fresh | 2 | 1 | 3 |
| Picked | 5 | 0 | 5 |
| Done | -2 | 4 | 2 |
| Total | 1 164 | 9 | 1 173 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 47.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
| ✓ | 47.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 47.1% | #s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| ▶ | 43.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))) |
| ▶ | 42.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
| ▶ | 43.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
| ✓ | 44.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
| ✓ | 54.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 289 to 231 computations (20.1% saved)
| Inputs |
|---|
1/2 |
1 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 1539 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#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))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 z x) |
(/.f64 #s(literal 1/2 binary64) z) |
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
(sqrt.f64 z) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
(*.f64 z y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 y (/.f64 z (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx x x) |
#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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))))) |
#s(approx (* z x) (*.f64 x z)) |
#s(approx (* (* z x) (/ 1/2 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)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (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 (/ 1 z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* 1/2 (+ x (/ y (sqrt (/ 1 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) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))))) |
#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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
#s(approx (* z y) (*.f64 y z)) |
#s(approx (* y (/ z (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z)))))) |
#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 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.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 (* 1/2 (+ x (/ y (sqrt (/ 1 z))))) (*.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 (* (/ 1 2) (+ x (* y (/ (pow z 1) (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) (/.f64 z (sqrt.f64 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx z z) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (/ 1/2 z) (/.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (/ z (sqrt z)) (/.f64 z (sqrt.f64 z))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* (/ 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 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) (/.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)))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ 1/2 (sqrt z)) (/.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1/2 (sqrt z)) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
#s(approx (* (/ 1/2 (sqrt z)) (* z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (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 (* y (/ z (sqrt z))) (*.f64 #s(literal -1 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))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 11.0ms | y | -inf |
| 5.0ms | x | -inf |
| 5.0ms | z | inf |
| 4.0ms | z | -inf |
| 4.0ms | z | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 263 |
| 0 | 68 | 257 |
| 1 | 265 | 251 |
| 2 | 900 | 251 |
| 3 | 3044 | 212 |
| 0 | 4341 | 200 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
z |
#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))) |
#s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 z x) |
(/.f64 #s(literal 1/2 binary64) z) |
(*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
(sqrt.f64 z) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
(*.f64 z y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 y (/.f64 z (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
x |
y |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #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 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 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 (/.f64 #s(literal -1 binary64) z) #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 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.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 #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)) |
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z)) |
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(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (pow.f64 z #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) (/.f64 (sqrt.f64 z) z))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 z (sqrt.f64 z)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 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 (sqrt.f64 z) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z)) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(fma.f64 (/.f64 (neg.f64 z) z) (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fma.f64 (*.f64 (sqrt.f64 z) z) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 (sqrt.f64 z) z) 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 z (/.f64 (sqrt.f64 z) z) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) |
(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 #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 (sqrt.f64 z) 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 (sqrt.f64 z) z))) |
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) 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 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 z y) z) (sqrt.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) z) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (/.f64 y z) (*.f64 (sqrt.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 (/.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 z y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (*.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (sqrt.f64 z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) z) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 z y) z) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (/.f64 (*.f64 z y) (/.f64 (sqrt.f64 z) z)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) z))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 z y) (sqrt.f64 z)) |
(/.f64 y (/.f64 (sqrt.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) z) y)) |
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))) |
(neg.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))) |
Compiled 26 678 to 3 915 computations (85.3% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 859 | 0 | 859 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | -5 | 9 | 4 |
| Total | 859 | 9 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 47.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
| ✓ | 47.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ✓ | 47.1% | #s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| ✓ | 43.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))) |
| ✓ | 42.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
| ✓ | 43.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
| ✓ | 44.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
| ✓ | 54.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 171 to 139 computations (18.7% 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)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z x) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 y (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 z y))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (/.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (/ y (sqrt (/ 1 z)))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #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)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ (pow z 1) (sqrt z))))) (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.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))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
21 calls:
| 13.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 10.0ms | x |
| 8.0ms | (sqrt.f64 z) |
| 7.0ms | x |
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 54.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 54.9% | 1 | (sqrt.f64 z) |
| 54.9% | 1 | z |
| 54.9% | 1 | x |
| 54.9% | 1 | y |
| 54.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 62.2% | 2 | (sqrt.f64 z) |
| 78.4% | 3 | (*.f64 y (sqrt.f64 z)) |
| 62.9% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 62.9% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 73.8% | 3 | x |
| 77.4% | 3 | y |
| 62.2% | 2 | z |
| 99.9% | 1 | (sqrt.f64 z) |
| 99.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 508 to 223 computations (56.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.560623913074079e+40 | 7.708053395474306e+44 |
| 0.0ms | -8.608127919407089e+44 | -1.327256717138641e+36 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | done |
Compiled 83 to 25 computations (69.9% saved)
Compiled 93 to 35 computations (62.4% saved)
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