
Time bar (total: 5.7s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 28.6% | 25% | 62.4% | 0.1% | 0% | 12.5% | 0% | 4 |
| 46.2% | 37.5% | 43.7% | 0.1% | 0% | 18.7% | 0% | 5 |
| 52.2% | 37.5% | 34.3% | 0.1% | 0% | 28.1% | 0% | 6 |
| 65.1% | 43.7% | 23.4% | 0.1% | 0% | 32.8% | 0% | 7 |
| 70.9% | 43.7% | 18% | 0.1% | 0% | 38.2% | 0% | 8 |
| 79.5% | 46.8% | 12.1% | 0.1% | 0% | 41% | 0% | 9 |
| 83.6% | 46.8% | 9.2% | 0.1% | 0% | 43.9% | 0% | 10 |
| 88.7% | 48.4% | 6.1% | 0.1% | 0% | 45.4% | 0% | 11 |
| 91.3% | 48.4% | 4.6% | 0.1% | 0% | 46.9% | 0% | 12 |
Compiled 6 to 6 computations (0% saved)
| 413.0ms | 8 256× | 0 | valid |
| 17.0ms | 498× | 0 | invalid |
ival-sqrt: 174.0ms (82.6% of total)ival-add!: 35.0ms (16.6% of total)adjust: 2.0ms (0.9% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 30 |
| 1 | 31 | 26 |
| 2 | 59 | 26 |
| 3 | 141 | 26 |
| 4 | 343 | 26 |
| 5 | 885 | 26 |
| 6 | 4312 | 26 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (+.f64 x y)) |
(sort x y)
Compiled 8 to 8 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 767 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 y)) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 x y)) |
#s(approx x x) |
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((sqrt (+ x y)) (+ x y) x y) |
| 1.0ms | x | @ | inf | ((sqrt (+ x y)) (+ x y) x y) |
| 1.0ms | y | @ | -inf | ((sqrt (+ x y)) (+ x y) x y) |
| 1.0ms | y | @ | inf | ((sqrt (+ x y)) (+ x y) x y) |
| 0.0ms | x | @ | 0 | ((sqrt (+ x y)) (+ x y) x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 9 |
| 0 | 6 | 9 |
| 1 | 29 | 9 |
| 2 | 73 | 9 |
| 3 | 153 | 9 |
| 4 | 380 | 9 |
| 5 | 1250 | 9 |
| 6 | 7694 | 9 |
| 0 | 8216 | 9 |
| 1 | 12924 | 9 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 1/16 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))) |
(sqrt.f64 (+.f64 y x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))) |
(fabs.f64 (sqrt.f64 (+.f64 y x))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 (+.f64 y x)))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(sqrt.f64 (*.f64 (+.f64 y x) (+.f64 y x))) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(fabs.f64 (-.f64 (neg.f64 x) y)) |
(fabs.f64 (+.f64 y x)) |
(+.f64 y x) |
(+.f64 x y) |
x |
y |
Compiled 513 to 213 computations (58.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 3 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 4 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 x y)) |
| ▶ | 100.0% | (sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) |
| ▶ | 97.0% | (sqrt.f64 #s(approx (+ x y) y)) |
| ▶ | 3.1% | #s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
Compiled 24 to 24 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 816 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 #s(approx (+ x y) y)) |
#s(approx (+ x y) y) |
y |
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 y)) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 x y)) |
#s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (+ 1 (/ x y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (+ 1 (/ x y)) (/.f64 (+.f64 x y) y)) |
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* y (+ 1 (/ x y))) (+ 1 (/ x y)) 1 (/ x y)) |
| 1.0ms | x | @ | 0 | ((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* y (+ 1 (/ x y))) (+ 1 (/ x y)) 1 (/ x y)) |
| 1.0ms | y | @ | -inf | ((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* y (+ 1 (/ x y))) (+ 1 (/ x y)) 1 (/ x y)) |
| 1.0ms | x | @ | inf | ((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* y (+ 1 (/ x y))) (+ 1 (/ x y)) 1 (/ x y)) |
| 1.0ms | y | @ | inf | ((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* y (+ 1 (/ x y))) (+ 1 (/ x y)) 1 (/ x y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 61 |
| 0 | 20 | 61 |
| 1 | 83 | 49 |
| 2 | 317 | 49 |
| 3 | 1161 | 49 |
| 4 | 7174 | 49 |
| 0 | 8828 | 49 |
| 1 | 20860 | 49 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 #s(approx (+ x y) y)) |
#s(approx (+ x y) y) |
y |
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
x |
(pow.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(literal 1/4 binary64)) |
(pow.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) |
(sqrt.f64 #s(approx (+ x y) y)) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) |
(fabs.f64 (sqrt.f64 #s(approx (+ x y) y))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))) (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) |
(*.f64 (sqrt.f64 #s(approx (+ x y) y)) (sqrt.f64 #s(approx (+ x y) y))) |
(pow.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ x y) y)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ x y) y) #s(literal 1 binary64)) |
#s(approx (+ x y) y) |
(neg.f64 (neg.f64 #s(approx (+ x y) y))) |
(sqrt.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y))) |
(fabs.f64 (neg.f64 #s(approx (+ x y) y))) |
(fabs.f64 #s(approx (+ x y) y)) |
y |
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/4 binary64)) |
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(sqrt.f64 #s(approx (+ x y) (+.f64 y x))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(*.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) |
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1 binary64)) |
#s(approx (+ x y) (+.f64 y x)) |
(neg.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x)))) |
(sqrt.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x)))) |
(fabs.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x)))) |
(fabs.f64 #s(approx (+ x y) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) y) (+.f64 y y)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (neg.f64 (sqrt.f64 (+.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 (+.f64 y x)) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) y) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (*.f64 y y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fabs.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 (+.f64 y x) y)) (fabs.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fabs.f64 y) (fabs.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 y y)) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 y y)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (/.f64 (+.f64 y x) (*.f64 y y))) |
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y)) |
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 (+.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) y)) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 y y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 y x))) (+.f64 y y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (neg.f64 y) x) y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)) y) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) y) (+.f64 y y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (+.f64 y y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) y) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y y)) |
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (+.f64 y y) (neg.f64 y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (+.f64 y y) y)) (+.f64 y y)) |
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (+.f64 y y)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 #s(literal 2 binary64) (*.f64 y x))) (+.f64 y y)) |
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) (+.f64 y y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 y (+.f64 y y))) (+.f64 y y)) |
(/.f64 (-.f64 (*.f64 (+.f64 y y) y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (+.f64 y y)) |
(/.f64 (-.f64 (*.f64 (+.f64 y y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) y))) (+.f64 y y)) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (neg.f64 y) x) y)) (fabs.f64 (neg.f64 y))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) y)) (fabs.f64 y)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) y) y) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (neg.f64 y)) |
(/.f64 (*.f64 (+.f64 y x) y) y) |
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) y (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (/.f64 x y) y) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 (+.f64 x x) y) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (+.f64 x x) y) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 x y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 y (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 y (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 y (/.f64 (/.f64 x y) y) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (neg.f64 x))) |
(+.f64 (/.f64 x y) #s(literal 0 binary64)) |
Compiled 13 433 to 5 671 computations (57.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 423 | 1 | 1 424 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 1 424 | 4 | 1 428 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 x y)) |
| ▶ | 100.0% | (sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) |
| ✓ | 97.0% | (sqrt.f64 #s(approx (+ x y) y)) |
| ✓ | 3.1% | #s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
Compiled 24 to 24 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 818 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 y)) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 x y)) |
#s(approx (- (/ x y) -1) #s(literal 1 binary64)) |
#s(approx (- (/ x y) -1) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (- (/ x y) -1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (- (/ x y) -1) (/.f64 (+.f64 x y) y)) |
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))) |
#s(approx (sqrt (+ x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1) |
| 1.0ms | y | @ | -inf | ((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1) |
| 1.0ms | x | @ | inf | ((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1) |
| 1.0ms | y | @ | inf | ((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1) |
| 0.0ms | x | @ | 0 | ((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 41 |
| 0 | 13 | 41 |
| 1 | 61 | 41 |
| 2 | 171 | 29 |
| 3 | 568 | 29 |
| 4 | 1804 | 29 |
| 0 | 8613 | 29 |
| 1 | 20129 | 29 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
(pow.f64 (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/4 binary64)) |
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(sqrt.f64 #s(approx (+ x y) (+.f64 y x))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) |
(*.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) |
(pow.f64 (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1 binary64)) |
#s(approx (+ x y) (+.f64 y x)) |
(neg.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x)))) |
(sqrt.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x)))) |
(fabs.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x)))) |
(fabs.f64 #s(approx (+ x y) (+.f64 y x))) |
(*.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) |
(*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 y x))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x)) |
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))) (-.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y y)) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal -1 binary64) (neg.f64 (+.f64 x x))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (+.f64 y y) (neg.f64 y))) (-.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (+.f64 y y) y)) (+.f64 y y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (+.f64 y y) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (+.f64 y y) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (-.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 #s(literal 2 binary64) (*.f64 y x))) (+.f64 y y)) |
(/.f64 (fma.f64 (+.f64 y y) #s(literal 1 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) (+.f64 y y))) (-.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 y (+.f64 y y))) (+.f64 y y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y y))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) (+.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 y y) y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (+.f64 y y)) |
(/.f64 (-.f64 (*.f64 (+.f64 y y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 y x))) (-.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) y))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) y))) (-.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 (neg.f64 y) y))) (+.f64 y y)) |
(/.f64 (-.f64 (neg.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) y))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (+.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) y) y) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (neg.f64 y)) |
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 y) x) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 y) x))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (-.f64 (neg.f64 y) x) y) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (-.f64 (neg.f64 y) x) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y x) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y x) y))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 #s(literal 0 binary64) (+.f64 y x))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 #s(literal 0 binary64) (+.f64 y x))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (+.f64 y x))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (+.f64 y x))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 y) x) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y x) y) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64))) |
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(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 x y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64))) |
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64))) |
(+.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y))) |
(+.f64 (/.f64 x y) #s(literal 0 binary64)) |
x |
y |
#s(literal -1 binary64) |
Compiled 11 710 to 5 361 computations (54.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 245 | 0 | 1 245 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 1 245 | 4 | 1 249 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 x y)) |
| ✓ | 100.0% | (sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) |
| ✓ | 97.0% | (sqrt.f64 #s(approx (+ x y) y)) |
| ✓ | 3.1% | #s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
Compiled 48 to 45 computations (6.3% saved)
| Inputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
(sqrt.f64 #s(approx (+ x y) y)) |
(sqrt.f64 (+.f64 x y)) |
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))) |
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x y)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (sqrt.f64 (+.f64 x y)) |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (sqrt.f64 (+.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 9 to 11 computations (-22.2% saved)
| Inputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
(sqrt.f64 #s(approx (+ x y) y)) |
| Outputs |
|---|
(sqrt.f64 #s(approx (+ x y) y)) |
4 calls:
| 1.0ms | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | y |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | (+.f64 x y) |
| 97.0% | 1 | (sqrt.f64 (+.f64 x y)) |
| 97.0% | 1 | x |
| 97.0% | 1 | y |
Compiled 9 to 11 computations (-22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (sqrt (+ x y)) (sqrt.f64 x)) |
4 calls:
| 42.0ms | x |
| 1.0ms | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | (+.f64 x y) |
| 3.1% | 1 | (sqrt.f64 (+.f64 x y)) |
| 3.1% | 1 | x |
| 3.1% | 1 | y |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | done |
Compiled 11 to 10 computations (9.1% saved)
(sort x y)
Compiled 45 to 44 computations (2.2% saved)
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