
Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 459.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
ival-mult!: 136.0ms (50.6% of total)ival-div!: 91.0ms (33.9% of total)ival-add!: 41.0ms (15.3% of total)adjust: 1.0ms (0.4% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 82 | 58 |
| 2 | 345 | 42 |
| 3 | 2712 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.5% | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(sort x y)
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(+.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#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 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 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) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 2.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 201 |
| 0 | 65 | 193 |
| 1 | 255 | 193 |
| 0 | 1892 | 189 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(+.f64 x y) |
x |
y |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#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 2) y) #s(hole binary64 (* 2 (* x y)))) |
#s(approx (* x 2) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 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) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx y #s(hole binary64 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 y x) y) (+.f64 x x)) |
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y))) (*.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))) (-.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (+.f64 x x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y)) (-.f64 (*.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y))) (*.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))))) |
(/.f64 (fma.f64 x (*.f64 (+.f64 x x) y) (*.f64 (*.f64 (+.f64 x x) y) y)) (*.f64 (*.f64 (+.f64 x x) y) (*.f64 (+.f64 x x) y))) |
(/.f64 (neg.f64 (/.f64 (+.f64 y x) (+.f64 x x))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(/.f64 (/.f64 (+.f64 y x) (+.f64 x x)) y) |
(/.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 x x) y))) |
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)) |
(neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (+.f64 x x) y))) |
(+.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y))) |
(+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 y x) |
(+.f64 x y) |
x |
y |
(*.f64 (+.f64 y y) x) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 (+.f64 x x) y) |
(*.f64 #s(literal 2 binary64) (*.f64 y x)) |
(*.f64 y (+.f64 x x)) |
(*.f64 x (+.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 y x (*.f64 y x)) |
(fma.f64 x y (*.f64 y x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
#s(literal 2 binary64) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx x x) |
#s(approx (* (* x 2) y) (*.f64 (+.f64 x x) y)) |
#s(approx (* x 2) (+.f64 x x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
#s(approx (+ x y) x) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx y y) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
Compiled 446 to 214 computations (52% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 6 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 6 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| 88.1% | (/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) | |
| ▶ | 87.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ▶ | 88.1% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 51.5% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 49.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 126 to 126 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #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) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ y x)))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 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) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #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 (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x)) |
| 5.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x)) |
| 2.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x)) |
| 2.0ms | y | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 654 |
| 0 | 106 | 612 |
| 1 | 355 | 612 |
| 0 | 2219 | 612 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y x) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #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) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ y x)))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 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) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #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 (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 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) y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) x) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 y x)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 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) #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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 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) 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y 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) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.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) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/2 binary64) |
x |
(*.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) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/2 binary64) |
y |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(*.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 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.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(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1/4 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) (/.f64 y x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(neg.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) (/.f64 y x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) (/.f64 y x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 y x)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.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) x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #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 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (- (/ 1/2 x) (/ -1/2 y)) (/.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 (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx (/ (+ (* (/ y x) 1/2) 1/2) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (/ y x) 1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) y)) |
Compiled 2 006 to 868 computations (56.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 1 | 239 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 238 | 7 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.1% | (/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
| ✓ | 87.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 88.1% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 39.7% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
| ✓ | 51.5% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 80 to 80 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
(/.f64 (+.f64 y x) y) |
(+.f64 y x) |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) 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) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ y x) y) #s(hole binary64 1)) |
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #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 (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x)) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 588 |
| 0 | 110 | 562 |
| 0 | 417 | 541 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
(/.f64 (+.f64 y x) y) |
(+.f64 y x) |
(+.f64 x x) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) 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) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ y x) y) #s(hole binary64 1)) |
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #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 (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
(/.f64 (neg.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 x)) |
(/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (+.f64 y x) (+.f64 x x)) y) |
(/.f64 (neg.f64 (/.f64 (+.f64 y x) y)) (neg.f64 (+.f64 x x))) |
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 (+.f64 x x) y))) |
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)) |
(+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y))) |
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 y)) |
(/.f64 (+.f64 y x) y) |
(+.f64 (/.f64 y y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 y y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.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) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (/ x y) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ y x) y) #s(literal 1 binary64)) |
#s(approx (/ (+ y x) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (/ x y) 1/2) 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 #s(literal 1/2 binary64) (/.f64 x y))) |
#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 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (+ y x) y) (/.f64 x y)) |
#s(approx (/ (+ y x) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (+ y x) x) |
#s(approx (+ y x) (*.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 (+ y x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x))) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (/ x y) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)) |
#s(approx y y) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ (+ y x) y) (/.f64 (+.f64 y x) y)) |
#s(approx (+ y x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (+ y x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y))) |
Compiled 377 to 217 computations (42.4% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 53 | 1 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 54 | 7 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.1% | (/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
| ▶ | 39.7% | (/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
| ✓ | 87.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 88.1% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 51.5% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 70 to 70 computations (0% saved)
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
(/.f64 #s(approx (+ y x) x) y) |
#s(approx (+ y x) x) |
x |
y |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ y x) y) #s(hole binary64 1)) |
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) x y (+ x x)) |
| 1.0ms | x | @ | inf | ((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) x y (+ x x)) |
| 1.0ms | x | @ | 0 | ((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) x y (+ x x)) |
| 1.0ms | y | @ | -inf | ((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) x y (+ x x)) |
| 0.0ms | y | @ | inf | ((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) x y (+ x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 248 |
| 0 | 68 | 240 |
| 0 | 296 | 238 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
(/.f64 #s(approx (+ y x) x) y) |
#s(approx (+ y x) x) |
x |
y |
(+.f64 x x) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x))) |
#s(approx (/ (+ y x) y) #s(hole binary64 1)) |
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y))) |
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 #s(approx (+ y x) x) y)) (neg.f64 (+.f64 x x))) |
(/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
(/.f64 #s(approx (+ y x) x) (*.f64 y (+.f64 x x))) |
(/.f64 (neg.f64 #s(approx (+ y x) x)) (neg.f64 y)) |
(/.f64 #s(approx (+ y x) x) y) |
#s(approx (+ y x) x) |
x |
y |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 x x) |
#s(approx (/ (/ (+ y x) y) (+ x x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ y x) y) #s(literal 1 binary64)) |
#s(approx (/ (+ y x) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 x y)) |
#s(approx x x) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (/ (+ y x) y) (+ x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (+ y x) y) (/.f64 x y)) |
#s(approx (/ (+ y x) y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (+ y x) x) |
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (+ y x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x))) |
#s(approx (/ (/ (+ y x) y) (+ x x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (/ (+ y x) y) (/.f64 (+.f64 x y) y)) |
#s(approx y y) |
#s(approx (+ y x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (+ y x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y))) |
Compiled 167 to 106 computations (36.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 26 | 7 | 33 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.1% | (/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
| ✓ | 39.7% | (/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
| ✓ | 87.3% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 88.1% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 51.5% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 49.8% | #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
Compiled 133 to 115 computations (13.5% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (/.f64 #s(approx (+ y x) x) y) (+.f64 x x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) |
3 calls:
| 5.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 9 to 11 computations (-22.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 3 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 83.2% | 2 | x |
| 83.4% | 2 | y |
Compiled 9 to 11 computations (-22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) |
3 calls:
| 1.0ms | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) |
| 49.8% | 1 | x |
| 49.8% | 1 | y |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.34043052534656e-21 | 2.0833078938925181e-16 |
| 7.0ms | 144× | 0 | valid |
Compiled 192 to 210 computations (-9.4% saved)
ival-mult!: 3.0ms (68.2% of total)ival-div!: 1.0ms (22.7% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | done |
Compiled 28 to 19 computations (32.1% saved)
(sort x y)
Compiled 119 to 102 computations (14.3% saved)
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