
Time bar (total: 908.0ms)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 308.0ms | 8 256× | 0 | valid |
ival-div!: 76.0ms (59.4% of total)ival-add!: 50.0ms (39.1% of total)adjust: 1.0ms (0.8% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 48 |
| 1 | 53 | 46 |
| 2 | 180 | 46 |
| 3 | 901 | 42 |
| 4 | 5183 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
(+.f64 x y) |
x |
y |
(+.f64 y y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) (+ x y) x y (+ y y)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) (+ x y) x y (+ y y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) (+ x y) x y (+ y y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) (+ x y) x y (+ y y)) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y y)) (+ x y) x y (+ y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 172 |
| 0 | 55 | 162 |
| 0 | 243 | 161 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
(+.f64 x y) |
x |
y |
(+.f64 y y) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (+.f64 y y))) |
(/.f64 (+.f64 y x) (+.f64 y y)) |
(+.f64 (/.f64 x (+.f64 y y)) (/.f64 y (+.f64 y y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
x |
y |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(+.f64 y y) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx x x) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx y y) |
#s(approx (+ y y) (+.f64 y y)) |
#s(approx (+ x y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y))) |
Compiled 139 to 95 computations (31.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 4 | 25 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 4 | 26 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.1% | (/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
| ▶ | 100.0% | #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 99.7% | #s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
| ▶ | 52.0% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 33 to 33 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x y) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (+ x y) x) |
(+.f64 y y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 1/2)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) y (/ 1/2 x) x (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ x y) (+ y y)) |
| 3.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) y (/ 1/2 x) x (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ x y) (+ y y)) |
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) y (/ 1/2 x) x (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ x y) (+ y y)) |
| 2.0ms | x | @ | 0 | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) y (/ 1/2 x) x (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ x y) (+ y y)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) y (/ 1/2 x) x (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ x y) (+ y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 519 |
| 0 | 101 | 485 |
| 0 | 382 | 484 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x y) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (+ x y) x) |
(+.f64 y y) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 1/2)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(/.f64 (neg.f64 #s(approx (+ x y) x)) (neg.f64 (+.f64 y y))) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (+ x y) x) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(+.f64 y y) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx y y) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (+ y y) (+.f64 y y)) |
#s(approx (+ x y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y))) |
Compiled 532 to 296 computations (44.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 1 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 77 | 4 | 81 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.1% | (/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 50.0% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
| ✓ | 52.0% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 36 to 36 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 1/2)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y x) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y x) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y x) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y x) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) (* (+ (/ 1/2 y) (/ 1/2 x)) x) (+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 299 |
| 0 | 52 | 281 |
| 1 | 225 | 281 |
| 2 | 1578 | 265 |
| 0 | 9215 | 256 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 1/2)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(*.f64 x #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 y x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (neg.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) y)) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx x x) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (* (+ (/ 1/2 y) (/ 1/2 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (+ (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx y y) |
Compiled 226 to 157 computations (30.5% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 0 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 33 | 4 | 37 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.1% | (/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 50.0% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
| ✓ | 52.0% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 71 to 63 computations (11.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(approx (+ (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (+ x y) x) (+.f64 y y)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 79.9% | 3 | x |
| 77.3% | 3 | y |
Compiled 7 to 9 computations (-28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | y |
| 52.0% | 1 | x |
| 52.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 7 to 9 computations (-28.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5007154141733674 | 29259203.98527597 |
| 0.0ms | -16.848304257649282 | 0.4999999999999203 |
Compiled 8 to 10 computations (-25% saved)
| 1× | done |
Compiled 25 to 21 computations (16% saved)
Compiled 30 to 26 computations (13.3% saved)
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