
Time bar (total: 1.3s)
| 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 7 to 6 computations (14.3% saved)
| 407.0ms | 8 256× | 0 | valid |
ival-add!: 80.0ms (60.5% of total)ival-div!: 51.0ms (38.5% of total)adjust: 1.0ms (0.8% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 49 | 30 |
| 2 | 134 | 30 |
| 3 | 218 | 30 |
| 4 | 499 | 30 |
| 5 | 2860 | 30 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 x y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 1)) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (+ x y)) x (+ x y) y) |
| 1.0ms | x | @ | -inf | ((/ x (+ x y)) x (+ x y) y) |
| 1.0ms | y | @ | -inf | ((/ x (+ x y)) x (+ x y) y) |
| 1.0ms | y | @ | inf | ((/ x (+ x y)) x (+ x y) y) |
| 0.0ms | y | @ | 0 | ((/ x (+ x y)) x (+ x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 495 |
| 0 | 153 | 455 |
| 1 | 1082 | 432 |
| 0 | 8280 | 426 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (+.f64 x y)) |
x |
(+.f64 x y) |
y |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 1)) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) |
(/.f64 (neg.f64 x) (-.f64 (neg.f64 y) x)) |
(/.f64 x (+.f64 y x)) |
x |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 y y (-.f64 (*.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 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y))))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(neg.f64 (-.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(+.f64 y x) |
(+.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) y)) |
(+.f64 x (neg.f64 (neg.f64 y))) |
(+.f64 x y) |
y |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x)) |
#s(approx (/ x (+ x y)) (*.f64 (fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ x (+ x y)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx x x) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ x y)) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))) |
#s(approx (/ x (+ x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (-.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) y)) x))) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y))) x) y)) x))) |
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) |
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (*.f64 (*.f64 x x) x))) y) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 x y) x) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (-.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) y)) |
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y)) x) y))) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (*.f64 (*.f64 x x) x)) y)) (neg.f64 y))) x) y))) |
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
Compiled 379 to 207 computations (45.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 4 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 44 | 5 | 49 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ▶ | 54.7% | (/.f64 x #s(approx (+ x y) y)) |
| ▶ | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ▶ | 45.8% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ▶ | 46.5% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 29 to 29 computations (0% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (+ x y) y) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (/ (- x y) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ x (pow y 2))) (/ 1 y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 1)) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ y x))) x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ y x) 1) x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ y (pow x 2))) (/ 1 x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ x y))) y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ x y) 1) y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (* x (/ 1 (+ y x))) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (* x (/ 1 (+ y x))) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (* x (/ 1 (+ y x))) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (* x (/ 1 (+ y x))) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ x (+ x y)) 1 (/ x (+ x y)) (- 1 (/ y x)) (/ y x) y x (* x (/ 1 (+ y x))) (/ 1 (+ y x)) (+ y x) (/ x (+ x y)) (+ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 1042 |
| 0 | 263 | 953 |
| 1 | 1740 | 937 |
| 0 | 9430 | 927 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (+ x y) y) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (/ (- x y) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ x (pow y 2))) (/ 1 y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 1)) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ y x))) x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x))) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ y x) 1) x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* -1 (/ y (pow x 2))) (/ 1 x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (+ 1 (* -1 (/ x y))) y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (/ x y) 1) y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)))) |
#s(approx (/ 1 (+ y x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 y) x)))))) |
(/.f64 (fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (neg.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x)))) |
(neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 y) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))))) |
(+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(pow.f64 (+.f64 y x) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (neg.f64 x) (*.f64 x x))) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (neg.f64 y) (*.f64 y y))) (fma.f64 x x (fma.f64 y y (*.f64 x (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 x y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x x (-.f64 (*.f64 y 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 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ y x) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (+ y x) y)))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) y))) |
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (+ y x) y) |
#s(approx (/ x (+ x y)) (/.f64 x y)) |
#s(approx (/ x (+ x y)) (fma.f64 x (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 x y))) |
#s(approx (/ x (+ x y)) (*.f64 (fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ x (+ x y)) (*.f64 (fma.f64 (-.f64 (fma.f64 x (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ y x)) (/.f64 (neg.f64 y) x)) |
#s(approx (- 1 (/ y x)) (/.f64 (-.f64 x y) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (/ 1 (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ 1 (+ y x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 x) (*.f64 y y)))) |
#s(approx (/ 1 (+ y x)) (fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (+ y x)) (fma.f64 (-.f64 (fma.f64 x (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ x y)) (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))) |
#s(approx (/ x (+ x y)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) (/.f64 y x))) |
#s(approx (/ 1 (+ y x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)) x)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) (/.f64 y x)) x)) |
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
#s(approx (/ x (+ x y)) (+.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x))) #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) (+.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y)) x)) y) x))) #s(literal 1 binary64))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y)) x)) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (+ y x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) |
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ x y)) (fma.f64 (-.f64 (fma.f64 y (/.f64 (neg.f64 y) (*.f64 (*.f64 x x) x)) (/.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ 1 (+ y x)) (+.f64 (/.f64 (neg.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ y x)) (fma.f64 (-.f64 (fma.f64 y (/.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ x y)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) x) y)) |
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 x y) x) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ x y)) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) y))) x) (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 y y))) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (- 1 (/ y x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) y)) |
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 x y)) y)) |
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y)) x) y))) |
#s(approx (/ x (+ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (*.f64 (*.f64 x x) x)) y)) (*.f64 x x)) y))) y))) |
#s(approx (- 1 (/ y x)) (*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)) #s(literal 1 binary64)) y))) |
#s(approx (/ 1 (+ y x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y)) x) y)) #s(literal 1 binary64)) y))) |
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
Compiled 1 040 to 500 computations (51.9% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 0 | 117 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 117 | 5 | 122 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | 54.7% | (/.f64 x #s(approx (+ x y) y)) |
| ✓ | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| ✓ | 45.8% | #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 46.5% | #s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
Compiled 48 to 45 computations (6.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 x (+.f64 x y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 x (+.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| Outputs |
|---|
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
3 calls:
| 33.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (/.f64 x (+.f64 x y)) |
| 80.2% | 3 | x |
| 77.4% | 3 | y |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ x y) y)) |
| Outputs |
|---|
(/.f64 x #s(approx (+ x y) y)) |
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | (/.f64 x (+.f64 x y)) |
Compiled 4 to 4 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ x y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 x (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 1 | y |
| 46.5% | 1 | x |
| 46.5% | 1 | (/.f64 x (+.f64 x y)) |
Compiled 6 to 8 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.20956524841834717 | 0.9999999987711572 |
Compiled 7 to 9 computations (-28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.20956524841834717 | 0.9999999987711572 |
Compiled 7 to 9 computations (-28.6% saved)
| 1× | done |
Compiled 22 to 17 computations (22.7% saved)
Compiled 26 to 21 computations (19.2% saved)
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