
Time bar (total: 2.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 1 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 2 |
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 3 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 4 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 5 |
| 50.0% | 49.9% | 49.9% | 0.1% | 0.0% | 0.0% | 0.0% | 6 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 7 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 8 |
| 66.7% | 49.9% | 25.0% | 0.1% | 0.0% | 25.0% | 0.0% | 9 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 10 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 11 |
| 80.0% | 49.9% | 12.5% | 0.1% | 0.0% | 37.4% | 0.0% | 12 |
Compiled 12 to 12 computations (0.0% saved)
| 591.0ms | 8 256× | 0 | valid |
| 190.0ms | 2 034× | 0 | invalid |
ival-mult!: 173.0ms (60.5% of total)ival-sqrt: 84.0ms (29.4% of total)ival-add!: 26.0ms (9.1% of total)adjust: 2.0ms (0.7% 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 |
|---|---|---|
| ▶ | 99.8% | (*.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 | 443 |
| 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)))) (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 |
|---|---|---|
| 7.0ms | z | 0 |
| 1.0ms | y | -inf |
| 1.0ms | x | -inf |
| 1.0ms | z | -inf |
| 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 | 26 |
| 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))) (+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (+.f64 (*.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))) (+.f64 (*.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))) (+.f64 (*.f64 x x) (+.f64 (*.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))) (+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 z) y) 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 (+.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (neg.f64 (+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.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))) (+.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 (*.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))) (+.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 (*.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))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (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))) (+.f64 (*.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) (+.f64 (*.f64 (sqrt.f64 z) y) x))) |
(neg.f64 (*.f64 (+.f64 (*.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 (+.f64 (*.f64 (sqrt.f64 z) y) x) #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 1 883 to 430 computations (77.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 9 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 92 | 9 | 101 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (*.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))))) | |
| ▶ | 99.7% | (*.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)))))) |
| 99.6% | (*.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)))))) | |
| ▶ | 99.8% | (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
| ▶ | 82.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (+.f64 (*.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))))) |
| 92.4% | #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))))) | |
| ▶ | 49.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
| 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 51.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 304 to 258 computations (15.1% saved)
| Inputs |
|---|
1/2 |
1 |
2 |
(/ 1 2) |
-1/2 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 9 to 7 computations (22.2% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 1341 |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
y |
(*.f64 (sqrt.f64 z) y) |
x |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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)) |
#s(literal -1/2 binary64) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
(+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (+ (* (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) (+.f64 (*.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))) (+.f64 (*.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)))) (+.f64 (*.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 (/ 1 (pow z -1/2)))) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))) |
#s(approx (+ (* (sqrt z) 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 (+.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 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 (/ 1 (pow z -1/2)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (* (sqrt z) 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 (/ 1 (pow z -1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx y y) |
#s(approx (* 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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (/ 1 (pow z -1/2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (/ 1 (pow z -1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx z z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (+ (* (sqrt z) 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)))) (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (pow z -1/2) (pow.f64 z #s(literal -1/2 binary64))) |
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 z (+.f64 (*.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 -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (pow z -1/2)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) |
#s(approx (* y (/ 1 (pow z -1/2))) (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) |
#s(approx (+ x (* y (/ 1 (pow z -1/2)))) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (sqrt z) y) (*.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 28.0ms | y | 0 |
| 27.0ms | y | inf |
| 19.0ms | z | 0 |
| 17.0ms | z | inf |
| 14.0ms | z | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 205 |
| 0 | 60 | 187 |
| 1 | 223 | 187 |
| 2 | 704 | 187 |
| 3 | 2380 | 183 |
| 0 | 4513 | 173 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
y |
(*.f64 (sqrt.f64 z) y) |
x |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x z)) |
(+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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)) |
#s(literal -1/2 binary64) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))) |
(+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
z |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 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 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) |
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x (*.f64 y (sqrt.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) y))) |
(neg.f64 (neg.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(-.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)) |
(+.f64 (/.f64 (*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 y (sqrt.f64 z))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(+.f64 (*.f64 y (sqrt.f64 z)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))))) |
(neg.f64 (*.f64 (neg.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
Compiled 22 758 to 4 054 computations (82.2% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 855 | 11 | 866 |
| Fresh | 4 | 0 | 4 |
| Picked | 5 | 0 | 5 |
| Done | -2 | 2 | 0 |
| Total | 862 | 13 | 875 |
| Status | Accuracy | Program |
|---|---|---|
| 81.6% | (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) | |
| ▶ | 99.8% | (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
| ▶ | 99.6% | (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
| ▶ | 92.4% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64)) |
| ▶ | 49.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| 49.6% | #s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) | |
| 99.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) y) x)) #s(literal -1 binary64)) (/.f64 z (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))) | |
| 40.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z))) | |
| 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) | |
| 82.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)))) | |
| ▶ | 43.3% | #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))))))) |
| ✓ | 51.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 506 to 395 computations (21.9% saved)
| Inputs |
|---|
1 |
1/2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 1936 |
| 1× | iter-limit |
| Inputs |
|---|
y |
#s(literal 1 binary64) |
z |
(sqrt.f64 z) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
x |
(+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(*.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 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* 1/2 (* 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))))))) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (+.f64 (*.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))) (+.f64 (*.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)))) (+.f64 (*.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 (/ (* y (sqrt z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) 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 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x))))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) 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 (/ 1 (sqrt z))) 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 (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1/2 binary64))))) |
#s(approx y y) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 y (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 y (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))) |
#s(approx z z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) 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)))) (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (* (* (+ 1 (/ (* y (sqrt z)) x)) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (sqrt (sqrt z)) (sqrt.f64 (sqrt.f64 z))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ y (/ 1 (sqrt z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 z (+.f64 (*.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 (/ (* y (sqrt z)) x) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (sqrt (sqrt z)) (*.f64 z (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))) |
#s(approx (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ y (/ 1 (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (/ y (/ 1 (sqrt z))) x) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (+ (/ y (/ 1 (sqrt z))) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.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 (+.f64 (*.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)) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))) |
#s(approx (+ 1 (/ (* y (sqrt z)) x)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))))) |
#s(approx (* (sqrt (sqrt z)) (sqrt (sqrt z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))) |
#s(approx (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))))) |
#s(approx (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) (sqrt (sqrt z))) y) x) 1/2) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | z | 0 |
| 4.0ms | z | -inf |
| 3.0ms | y | -inf |
| 3.0ms | z | inf |
| 3.0ms | y | inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 245 |
| 0 | 66 | 223 |
| 1 | 265 | 204 |
| 2 | 922 | 204 |
| 0 | 4208 | 204 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
y |
#s(literal 1 binary64) |
z |
(sqrt.f64 z) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
x |
(+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(*.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 #s(literal 1 binary64) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* 1/2 (* 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))))))) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
y |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 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 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z))) #s(literal -2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
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(/.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))) (+.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 (*.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 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.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 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) x) #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) x) #s(literal 1/2 binary64)) x) |
(/.f64 (-.f64 (*.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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) x) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) x) (*.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 z) y) x))) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) x))) |
(neg.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.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)) |
Compiled 20 785 to 4 288 computations (79.4% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 939 | 4 | 943 |
| Fresh | 4 | 2 | 6 |
| Picked | 5 | 0 | 5 |
| Done | -3 | 5 | 2 |
| Total | 945 | 11 | 956 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
| 82.8% | (*.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)) x) #s(literal 1/2 binary64)) | |
| ▶ | 99.7% | (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
| ▶ | 89.7% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64)) |
| ✓ | 49.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 40.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z))) |
| ▶ | 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
| ✓ | 43.3% | #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))))))) |
| ▶ | 43.2% | #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 #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))))) |
| ✓ | 51.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 315 to 251 computations (20.3% 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 | 321 | 2052 |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
(sqrt.f64 (sqrt.f64 z)) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 z)) y) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) |
x |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 (sqrt.f64 z) z) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) 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 #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(/.f64 (sqrt.f64 z) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (/ x z) (* 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)))) (+.f64 (*.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))) (+.f64 (*.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)))) (+.f64 (*.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) x) (/.f64 (sqrt.f64 z) x)) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x))))) |
#s(approx (* (/ 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 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))))) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) #s(literal 1 binary64)) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))) x)) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 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 (* (+ 1 (* (/ (sqrt z) x) 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 (* (sqrt (sqrt z)) y) (*.f64 y (sqrt.f64 (sqrt.f64 z)))) |
#s(approx (* y (sqrt (/ 1 z))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (* 1/2 z) y) (*.f64 #s(literal 1/2 binary64) (*.f64 y z))) |
#s(approx (* (/ 1 (sqrt z)) (* (* 1/2 z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 y (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx z z) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (sqrt (sqrt z)) (sqrt.f64 (sqrt.f64 z))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)))))) |
#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) 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)))) (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (* (* (+ 1 (* (/ (sqrt z) x) y)) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (sqrt z)) (*.f64 z (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))) |
#s(approx (* (sqrt (sqrt z)) y) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (+.f64 (*.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) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 (sqrt z)) (* (* 1/2 z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (sqrt z) x) (/.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) |
#s(approx (* (/ (sqrt z) x) y) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))))) |
#s(approx (* (sqrt (sqrt z)) y) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))))) |
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))))) |
#s(approx (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) x) 1/2) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))))) |
#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 (+.f64 (*.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) z) (*.f64 #s(literal -1 binary64) (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 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 (sqrt z)) (* (* 1/2 z) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (sqrt z) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))) |
#s(approx (* (/ (sqrt z) x) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))) |
#s(approx (+ 1 (* (/ (sqrt z) x) y)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (+ 1 (* (/ (sqrt z) x) y)) x) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 22.0ms | y | 0 |
| 7.0ms | z | -inf |
| 4.0ms | z | 0 |
| 4.0ms | y | -inf |
| 4.0ms | z | inf |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 289 |
| 0 | 65 | 285 |
| 1 | 230 | 273 |
| 2 | 807 | 244 |
| 3 | 3119 | 224 |
| 0 | 4184 | 224 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
z |
(sqrt.f64 z) |
(sqrt.f64 (sqrt.f64 z)) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 z)) y) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) |
x |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(/.f64 x z) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 (sqrt.f64 z) z) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
(*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)))) |
#s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))) |
(*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) 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 #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(/.f64 (sqrt.f64 z) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
z |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 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 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 z) z)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (sqrt.f64 z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) z) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -1 binary64) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 z) z) z) |
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 z) #s(literal 0 binary64))) |
(/.f64 z (sqrt.f64 z)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(sqrt.f64 (/.f64 (*.f64 z z) z)) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z))) |
(sqrt.f64 z) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.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 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (neg.f64 (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 z))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))) |
(fabs.f64 (/.f64 z (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))) |
(fabs.f64 (/.f64 z (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))))) |
(fabs.f64 (/.f64 z (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (sqrt.f64 z)))))) |
(fabs.f64 (/.f64 z (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))) |
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 (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 (sqrt.f64 (sqrt.f64 z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64))) |
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x |
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(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 z)))) (*.f64 y (sqrt.f64 (sqrt.f64 z))))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 x (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 y (sqrt.f64 z)) x)) x) |
(/.f64 (*.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))))) |
(neg.f64 (*.f64 (neg.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) x))) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.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 28 851 to 5 160 computations (82.1% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 989 | 5 | 994 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 5 | 5 |
| Total | 995 | 10 | 1 005 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
| ✓ | 49.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| 40.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (sqrt.f64 z)) z)) | |
| 45.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (sqrt.f64 z))) | |
| 43.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z))) | |
| ✓ | 40.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z))) |
| 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) | |
| ✓ | 43.2% | #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 #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))))) |
| ✓ | 51.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ 1 (sqrt z)) (* (* 1/2 z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
Compiled 202 to 162 computations (19.8% 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 x z) (*.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 x z) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 y z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (sqrt.f64 z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (/ 1 (sqrt z)) (* (* 1/2 z) y)) (*.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)) x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (+.f64 (*.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 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))) x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) y) x)) #s(literal -1 binary64)) (/.f64 z (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
(*.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))))) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
21 calls:
| 12.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 12.0ms | z |
| 11.0ms | (*.f64 y (sqrt.f64 z)) |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 51.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 51.7% | 1 | (sqrt.f64 z) |
| 51.7% | 1 | z |
| 51.7% | 1 | y |
| 51.7% | 1 | x |
| 51.7% | 1 | (*.f64 y (sqrt.f64 z)) |
| 64.6% | 2 | (sqrt.f64 z) |
| 78.1% | 3 | (*.f64 y (sqrt.f64 z)) |
| 60.8% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 60.8% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 74.9% | 3 | x |
| 74.8% | 3 | y |
| 64.6% | 2 | z |
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 665 to 263 computations (60.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8574817086936984e-24 | 1.2765507458013126e-14 |
| 0.0ms | -2.557164297064701e-108 | -1.1242555084498063e-108 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | fuel |
Compiled 84 to 26 computations (69.0% saved)
Compiled 94 to 36 computations (61.7% saved)
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