
Time bar (total: 2.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0 |
| 100.0% | 99.9% | 0.0% | 0.1% | 0.0% | 0.0% | 0.0% | 1 |
Compiled 10 to 5 computations (50.0% saved)
| 537.0ms | 8 256× | 0 | valid |
ival-hypot: 235.0ms (99.1% of total)adjust: 2.0ms (0.8% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 1 | 62 | 50 |
| 2 | 157 | 50 |
| 3 | 226 | 50 |
| 4 | 520 | 50 |
| 5 | 2747 | 50 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.0% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(abs x)
(abs y)
(sort x y)
Compiled 16 to 12 computations (25.0% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 761 |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx y y) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | 0 |
| 1.0ms | x | inf |
| 1.0ms | x | -inf |
| 1.0ms | y | inf |
| 1.0ms | y | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 46 | 23 |
| 2 | 164 | 23 |
| 3 | 482 | 23 |
| 4 | 1052 | 23 |
| 0 | 4206 | 23 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
(*.f64 x x) |
y |
(*.f64 y y) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
x |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (fabs.f64 x))) (sqrt.f64 (*.f64 x (fabs.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) (sqrt.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) x)) (sqrt.f64 (*.f64 (fabs.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))) (sqrt.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (fabs.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 x) (*.f64 x x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 x x)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 x x) |
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 0 binary64))) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 0 binary64))) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 0 binary64))) |
(*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 0 binary64)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 y y) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 0 binary64))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(fabs.f64 (+.f64 (*.f64 y y) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (+.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) |
(sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))) |
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x))))) |
(fabs.f64 (sqrt.f64 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64))) |
Compiled 5 841 to 1 269 computations (78.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 6 | 338 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | -1 | 1 | 0 |
| Total | 332 | 7 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| ▶ | 49.5% | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))) |
| ▶ | 86.2% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
| 5.3% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) | |
| ▶ | 1.1% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
| ▶ | 1.8% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x)) |
| ▶ | 4.8% | #s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
Compiled 194 to 144 computations (25.8% saved)
| Inputs |
|---|
1 |
1/2 |
2 |
-1 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 6 to 6 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1019 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (/ (pow x 2) (pow y 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* 1/2 (/ (pow x 2) (pow y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 7.0ms | y | -inf |
| 5.0ms | x | 0 |
| 2.0ms | x | inf |
| 2.0ms | x | -inf |
| 1.0ms | y | 0 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 144 |
| 0 | 35 | 140 |
| 1 | 127 | 136 |
| 2 | 535 | 122 |
| 3 | 3253 | 122 |
| 0 | 4030 | 122 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
x |
y |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 x (fabs.f64 x))) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (neg.f64 (fabs.f64 x))) |
(fabs.f64 x) |
(fabs.f64 (fabs.f64 x)) |
(fabs.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64)) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) |
(*.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 0 binary64))) |
(*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 0 binary64))) |
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1 binary64)) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(/.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 0 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal -1 binary64))) |
(sqrt.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) |
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(fabs.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal -1/2 binary64))) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64))) |
Compiled 22 666 to 4 243 computations (81.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 940 | 4 | 944 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 946 | 5 | 951 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| ▶ | 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
| ▶ | 1.1% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
| ▶ | 5.1% | #s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
| ▶ | 98.2% | #s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
Compiled 70 to 49 computations (30.0% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 885 |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
(neg.f64 x) |
(sqrt.f64 (neg.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (fabs x) (fabs.f64 x)) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (neg x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))) |
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (neg x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (neg x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
| 1.0ms | y | -inf |
| 1.0ms | y | inf |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 95 |
| 0 | 30 | 85 |
| 1 | 121 | 85 |
| 2 | 521 | 77 |
| 3 | 2985 | 77 |
| 0 | 4049 | 77 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
y |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
(neg.f64 x) |
(sqrt.f64 (neg.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
| Outputs |
|---|
x |
y |
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y) |
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (neg.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x))) (sqrt.f64 (sqrt.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (neg.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (neg.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (neg.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x))) (sqrt.f64 (sqrt.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (neg.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(neg.f64 x) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 4 326 to 643 computations (85.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 1 | 168 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | -4 | 5 | 1 |
| Total | 167 | 6 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| ✓ | 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
| ✓ | 1.1% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
| ✓ | 5.1% | #s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
| ▶ | 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))) |
| ✓ | 98.2% | #s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
Compiled 85 to 61 computations (28.2% saved)
| Inputs |
|---|
1 |
| Outputs |
|---|
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 3 to 3 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 715 |
| 1× | iter-limit |
| Inputs |
|---|
x |
(neg.f64 x) |
(log.f64 (neg.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (log (neg x)) (log.f64 (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (log (neg x)) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (log (neg x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 72.0ms | x | 0 |
| 19.0ms | x | -inf |
| 8.0ms | x | inf |
| 0.0ms | y | 0 |
| 0.0ms | y | inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 0 | 16 | 25 |
| 1 | 64 | 23 |
| 2 | 219 | 23 |
| 3 | 733 | 23 |
| 0 | 4063 | 23 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
(neg.f64 x) |
(log.f64 (neg.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
x |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(*.f64 (neg.f64 x) (pow.f64 (E.f64) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (log.f64 (neg.f64 x))) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -2 binary64)) |
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(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (log.f64 (neg.f64 x))) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) x))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) x))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x)))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 x) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (neg.f64 x)))) |
(exp.f64 (log.f64 (neg.f64 x))) |
(+.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 3 871 to 869 computations (77.6% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 1 | 147 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | -1 | 6 | 5 |
| Total | 146 | 7 | 153 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| ✓ | 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
| ✓ | 1.1% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
| ✓ | 5.1% | #s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
| 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 0.0% | #s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))) |
| ✓ | 98.2% | #s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
Compiled 105 to 77 computations (26.7% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fabs.f64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) |
#s(approx (sqrt (+ (* x x) (* y y))) (exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)) |
6 calls:
| 11.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 6.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | (*.f64 y y) |
| 98.2% | 1 | (*.f64 x x) |
| 98.2% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 98.2% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 98.2% | 1 | x |
| 98.2% | 1 | y |
Compiled 221 to 85 computations (61.5% saved)
| 1× | fuel |
Compiled 24 to 17 computations (29.2% saved)
(abs x)
(abs y)
(sort x y)
Compiled 208 to 129 computations (38.0% saved)
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