
Time bar (total: 1.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 9 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 10 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 12 to 12 computations (0% saved)
| 499.0ms | 8 256× | 0 | valid |
| 85.0ms | 1 998× | 0 | invalid |
ival-mult!: 102.0ms (45.9% of total)ival-sqrt: 90.0ms (40.5% of total)ival-add!: 28.0ms (12.6% of total)adjust: 2.0ms (0.9% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 83 |
| 1 | 162 | 81 |
| 2 | 699 | 81 |
| 3 | 5624 | 80 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(abs z)
Compiled 20 to 20 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 439 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | y | -inf |
| 1.0ms | x | -inf |
| 1.0ms | z | -inf |
| 1.0ms | y | inf |
| 1.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 52 | 26 |
| 0 | 385 | 24 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 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 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) y (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 x x) x)))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z))) |
(sqrt.f64 z) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
Compiled 1 615 to 308 computations (80.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 7 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 80 | 7 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
| ▶ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 77.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) | |
| 91.4% | #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))))) | |
| ▶ | 48.5% | #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)))))) |
| ▶ | 48.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ▶ | 52.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 238 to 202 computations (15.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 654 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* 1/2 (* y (* z (sqrt (/ 1 z))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* y (* z (sqrt (/ 1 z)))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.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 z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (+ (* (sqrt z) (/ y x)) 1) (* 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) y) x) 1/2) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x))) |
#s(approx (+ (* (sqrt z) (/ y x)) 1) (*.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))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 57.0ms | x | inf |
| 5.0ms | z | 0 |
| 4.0ms | z | -inf |
| 3.0ms | y | -inf |
| 2.0ms | y | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 133 |
| 0 | 46 | 126 |
| 1 | 152 | 117 |
| 0 | 943 | 117 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) 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 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z))))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
(/.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 (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))) (fma.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)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (*.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))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) y) (sqrt.f64 z)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))) (*.f64 y (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) x) |
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) |
(*.f64 (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z))))) |
(*.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x) |
(*.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (/.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) x) x)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) x) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z)) (*.f64 x x)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 y x) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
Compiled 5 309 to 898 computations (83.1% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 4 | 269 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 268 | 8 | 276 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 77.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
| ▶ | 48.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
| ▶ | 42.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
| ▶ | 44.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ✓ | 48.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 52.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 128 to 110 computations (14.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1005 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
y |
z |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x z) |
x |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+.f64 x (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)))) |
#s(approx (* (/ 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 (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)) #s(literal 1 binary64))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (/ (* y z) (sqrt z)) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (* y z) (*.f64 y z)) |
#s(approx y y) |
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 y (fma.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x y)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#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 (/ z (sqrt z)) (/.f64 z (sqrt.f64 z))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* y z) (sqrt z)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ z (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (* 1/2 (/ (* y z) (sqrt z))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* y z) (sqrt z)) (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (* 1/2 y) (/ 1 (sqrt z))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ z (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | y | inf |
| 4.0ms | z | -inf |
| 3.0ms | z | 0 |
| 3.0ms | y | -inf |
| 2.0ms | z | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 182 |
| 0 | 51 | 176 |
| 1 | 191 | 164 |
| 0 | 1290 | 156 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
y |
z |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 z (sqrt.f64 z)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 x z) |
x |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)) |
(*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z))) |
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(*.f64 (+.f64 (/.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z))) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))) |
(*.f64 (/.f64 y (sqrt.f64 z)) (+.f64 (/.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) (neg.f64 z) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 z x) #s(literal 1 binary64)) (/.f64 z x)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) (neg.f64 z)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))))) (neg.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))) |
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))) (fma.f64 (/.f64 x z) (/.f64 x z) (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (/.f64 y (sqrt.f64 z)) z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 x x) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z)))))) |
(neg.f64 (-.f64 (/.f64 (neg.f64 x) z) (/.f64 y (sqrt.f64 z)))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 y (sqrt.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 y (sqrt.f64 z))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))) |
(-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(-.f64 (/.f64 x z) (neg.f64 (/.f64 y (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) z) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (sqrt.f64 z))) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 x z)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))) |
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) |
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
x |
Compiled 7 717 to 1 345 computations (82.6% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 2 | 318 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 4 | 4 |
| Total | 319 | 7 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 91.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
| ▶ | 42.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)) |
| ✓ | 44.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ✓ | 48.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 52.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 103 to 89 computations (13.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 720 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)) |
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(/.f64 y (sqrt.f64 z)) |
x |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))) |
#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 (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) #s(literal 1 binary64))))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))) #s(literal 1 binary64))))) |
#s(approx (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))) |
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx y y) |
#s(approx (/ y (sqrt z)) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 y (+.f64 (/.f64 x y) (/.f64 z (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (+.f64 x (/.f64 y (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 (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (* (/ (* y 1/2) (sqrt z)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (/ (* y 1/2) (sqrt z)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (* (/ y (sqrt z)) z) x) (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ y (sqrt z)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 10.0ms | z | inf |
| 2.0ms | y | -inf |
| 2.0ms | z | -inf |
| 1.0ms | y | inf |
| 1.0ms | y | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 81 |
| 0 | 31 | 81 |
| 1 | 126 | 81 |
| 0 | 914 | 78 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)) |
(*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(/.f64 y (sqrt.f64 z)) |
x |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 z y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) z) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z)) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z))) |
(*.f64 z (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) z)) |
(/.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 z)) |
(/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 1/2 binary64)) z))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) |
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z))) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z))) |
(sqrt.f64 z) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z))) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) z) (/.f64 y (sqrt.f64 z))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 y (sqrt.f64 z)) z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 z y)) (sqrt.f64 z)) |
(/.f64 (fma.f64 x (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (/.f64 y (sqrt.f64 z))) z (fma.f64 x x (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x) (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64))))) |
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z (neg.f64 (neg.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(fma.f64 z (/.f64 y (sqrt.f64 z)) (neg.f64 (neg.f64 x))) |
(fma.f64 z (/.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (neg.f64 (neg.f64 x))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) x) |
(fma.f64 y (/.f64 z (sqrt.f64 z)) (neg.f64 (neg.f64 x))) |
(fma.f64 y (/.f64 z (sqrt.f64 z)) x) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x))) |
(-.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y (sqrt.f64 z))) z)) |
(-.f64 x (*.f64 (neg.f64 z) (/.f64 y (sqrt.f64 z)))) |
(-.f64 x (neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))) |
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) x) |
(+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z))) |
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(/.f64 y (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y)) |
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 z))) |
x |
Compiled 3 401 to 626 computations (81.6% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 1 | 146 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 4 | 5 |
| Total | 146 | 7 | 153 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 91.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
| 43.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) | |
| ✓ | 42.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)) |
| ✓ | 44.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ✓ | 48.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 52.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 111 to 95 computations (14.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 z (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 z (/.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 y (sqrt.f64 z)) z x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) z)) |
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
#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 #s(approx (+ (* (sqrt z) y) x) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
21 calls:
| 18.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 4.0ms | z |
| 4.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 52.2% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 52.2% | 1 | (sqrt.f64 z) |
| 52.2% | 1 | z |
| 52.2% | 1 | y |
| 52.2% | 1 | x |
| 52.2% | 1 | (*.f64 y (sqrt.f64 z)) |
| 63.4% | 2 | (sqrt.f64 z) |
| 77.7% | 3 | (*.f64 y (sqrt.f64 z)) |
| 61.4% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 61.4% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 76.4% | 3 | x |
| 75.9% | 3 | y |
| 63.4% | 2 | z |
| 99.9% | 1 | (sqrt.f64 z) |
| 99.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 337 to 176 computations (47.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 0.09337324041683873 | 0.29690321623673027 |
| 13.0ms | -2.2934931546284425e+74 | -6.023945982925467e+65 |
| 10.0ms | 224× | 0 | valid |
Compiled 405 to 408 computations (-0.7% saved)
ival-add!: 1.0ms (50.1% of total)ival-mult!: 1.0ms (50.1% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 83 to 25 computations (69.9% saved)
(abs z)
Compiled 259 to 121 computations (53.3% saved)
Loading profile data...