
Time bar (total: 1.4s)
| 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)
| 407.0ms | 8 256× | 0 | valid |
ival-div!: 61.0ms (54.6% of total)ival-add!: 49.0ms (43.9% of total)adjust: 2.0ms (1.8% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 48 |
| 1 | 73 | 42 |
| 2 | 287 | 42 |
| 3 | 1283 | 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 (+ 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 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 | 52 | 164 |
| 0 | 53 | 150 |
| 1 | 278 | 124 |
| 0 | 2300 | 119 |
| 1 | 6426 | 119 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 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 (+ 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 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 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) y)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal 1/2 binary64) y))) (*.f64 y y)) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 y)) |
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y) |
(/.f64 (+.f64 y x) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (neg.f64 y))) |
(neg.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) y)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) y) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 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) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(+.f64 y x) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #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 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
#s(approx (+ y y) #s(literal 2 binary64)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
Compiled 270 to 137 computations (49.3% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 4 | 72 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 68 | 5 | 73 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ▶ | 99.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y)) |
| ▶ | 3.3% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ▶ | 3.4% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 55.1% | #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 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x 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 (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #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 y) #s(hole binary64 (* 2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 319 |
| 0 | 89 | 291 |
| 1 | 417 | 263 |
| 0 | 3237 | 256 |
| 1 | 9709 | 256 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 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 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y)) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x 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 (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #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 y) #s(hole binary64 (* 2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #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 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
x |
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) y)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64)) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal 1/2 binary64) y))) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 y)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) y) |
(/.f64 (+.f64 y x) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (neg.f64 y))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) y)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) y) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 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) (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y x) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
y |
(*.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64)) y) |
(/.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal -2 binary64)) |
(/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) |
(*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))) |
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 x y) y))) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 y))) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 y))) |
(fma.f64 (/.f64 x y) y (neg.f64 (neg.f64 y))) |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 y (/.f64 x y) (neg.f64 (neg.f64 y))) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 (neg.f64 y))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) y) |
(fma.f64 x (/.f64 y y) (neg.f64 (neg.f64 y))) |
(fma.f64 x (/.f64 y y) y) |
(-.f64 (*.f64 (/.f64 x y) y) (neg.f64 y)) |
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y)) |
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y))) |
(-.f64 y (neg.f64 (*.f64 (/.f64 x y) y))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x y) y) (neg.f64 (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x y) y) y) |
(+.f64 y (*.f64 (/.f64 x y) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y y) #s(literal 2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y)) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y)) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
Compiled 674 to 360 computations (46.6% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 2 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 141 | 7 | 148 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ✓ | 99.7% | (/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y)) |
| ✓ | 3.3% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ▶ | 3.0% | (*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
| ▶ | 46.8% | #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| ✓ | 3.4% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 55.1% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 48 to 48 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
#s(approx (+ y x) 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 x) y) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #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 x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 269 |
| 0 | 76 | 215 |
| 1 | 391 | 215 |
| 2 | 2959 | 215 |
| 0 | 8700 | 213 |
| 1 | 36321 | 213 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
#s(approx (+ y x) 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 x) y) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x)))))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2))))) |
#s(approx (+ y x) #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 x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (+.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y y)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 x (+.f64 y y)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 y y))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (/.f64 y y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 y y)) |
(*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 y y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 y y)) y) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y (/.f64 x (+.f64 y y))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y)) |
(/.f64 (*.f64 y (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) y) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ y x) y))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ y x) y)) |
#s(approx (+ y x) 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 x) y) (/.f64 x (+.f64 y y))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (* (+ y x) 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (+.f64 y x) (+.f64 y y))) |
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ y x) (+.f64 y x)) |
Compiled 345 to 217 computations (37.1% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 3 | 68 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 2 | 3 | 5 |
| Total | 68 | 7 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 3.3% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | 3.0% | (*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
| ▶ | 99.7% | #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 46.8% | #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
| ▶ | 46.7% | #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 3.4% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 55.1% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 52 to 52 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
(/.f64 x (+.f64 y y)) |
(+.f64 y y) |
#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) |
| 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) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y)) |
| 1.0ms | y | @ | 0 | ((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 188 |
| 0 | 55 | 175 |
| 1 | 244 | 129 |
| 0 | 1919 | 125 |
| 1 | 5181 | 125 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
(/.f64 x (+.f64 y y)) |
(+.f64 y y) |
#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) |
#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) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y y) #s(hole binary64 (* 2 y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #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 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (* (/ 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
#s(approx (/ 1/2 y) #s(literal 1/2 binary64)) |
#s(approx y y) |
#s(approx (+ y y) #s(literal 2 binary64)) |
Compiled 262 to 184 computations (29.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 0 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 63 | 7 | 70 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 3.3% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | 3.0% | (*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
| ✓ | 99.7% | #s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 46.8% | #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
| ✓ | 46.7% | #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 3.4% | #s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 55.1% | #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
Compiled 95 to 82 computations (13.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#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)) |
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.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)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 79.0% | 3 | x |
| 79.4% | 3 | y |
Compiled 7 to 9 computations (-28.6% saved)
Total -34.1b remaining (-118.7%)
Threshold costs -34.1b (-118.7%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) |
3 calls:
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | x |
| 55.1% | 1 | y |
| 55.1% | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 7 to 9 computations (-28.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5765539512682543 | 58192.71834476131 |
| 0.0ms | -1097.02140146929 | 0.49999999946915996 |
Compiled 8 to 10 computations (-25% saved)
| 1× | done |
Compiled 28 to 21 computations (25% saved)
Compiled 33 to 26 computations (21.2% saved)
Loading profile data...