
Time bar (total: 1.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 332.0ms | 8 256× | 0 | valid |
ival-div!: 46.0ms (50.5% of total)ival-add!: 43.0ms (47.2% of total)adjust: 2.0ms (2.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 26 | 34 |
| 2 | 33 | 34 |
| 3 | 39 | 34 |
| 4 | 48 | 34 |
| 5 | 56 | 34 |
| 6 | 56 | 34 |
| 1× | saturated |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 x (+.f64 y x)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (+ y x)) x (+ y x) y) |
| 1.0ms | x | @ | -inf | ((/ x (+ y x)) x (+ y x) y) |
| 1.0ms | y | @ | -inf | ((/ x (+ y x)) x (+ y x) y) |
| 1.0ms | y | @ | inf | ((/ x (+ y x)) x (+ y x) y) |
| 1.0ms | y | @ | 0 | ((/ x (+ y x)) x (+ y x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 503 |
| 0 | 156 | 462 |
| 1 | 953 | 438 |
| 0 | 8677 | 432 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 x (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x))) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 y x)))) |
x |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (*.f64 y (-.f64 y x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
y |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x)) |
#s(approx (/ x (+ y x)) (*.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 (+ y x)) (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) y)) (-.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) |
#s(approx (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ y x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) x) (-.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))) |
#s(approx (+ y x) x) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) y)) x))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y)) x) y) x))) |
#s(approx (+ y x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) |
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))) |
#s(approx y y) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 x y) (-.f64 x (/.f64 (*.f64 x x) y))) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (-.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 y y)))) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y) x) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) y) (*.f64 (*.f64 x x) x)) (neg.f64 y)) (*.f64 x x)) y) x) y)) |
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
Compiled 355 to 185 computations (47.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 5 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 6 | 44 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ▶ | 99.7% | (/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
| ▶ | 89.3% | (/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
| ▶ | 53.8% | (/.f64 x #s(approx (+ y x) y)) |
| ▶ | 46.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ▶ | 47.4% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 78 to 78 computations (0% saved)
| Inputs |
|---|
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
x |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (+ y x) y) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 y) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y)) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (/ (- x y) x))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 y)) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (+ x y))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (- (* -1 (/ x y)) 1))) |
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 x)) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ x (+ y x)) x (+ y x) (+ (* (/ y x) x) x) (/ y x) y (/ x (+ y x)) 1 (/ x (+ y x)) (+ y x) (/ x (+ y x)) (- 1 (/ y x)) (/ x (+ y x)) (+ y x) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x)) |
| 2.0ms | x | @ | 0 | ((/ x (+ y x)) x (+ y x) (+ (* (/ y x) x) x) (/ y x) y (/ x (+ y x)) 1 (/ x (+ y x)) (+ y x) (/ x (+ y x)) (- 1 (/ y x)) (/ x (+ y x)) (+ y x) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x)) |
| 2.0ms | x | @ | -inf | ((/ x (+ y x)) x (+ y x) (+ (* (/ y x) x) x) (/ y x) y (/ x (+ y x)) 1 (/ x (+ y x)) (+ y x) (/ x (+ y x)) (- 1 (/ y x)) (/ x (+ y x)) (+ y x) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x)) |
| 1.0ms | y | @ | -inf | ((/ x (+ y x)) x (+ y x) (+ (* (/ y x) x) x) (/ y x) y (/ x (+ y x)) 1 (/ x (+ y x)) (+ y x) (/ x (+ y x)) (- 1 (/ y x)) (/ x (+ y x)) (+ y x) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x)) |
| 1.0ms | y | @ | 0 | ((/ x (+ y x)) x (+ y x) (+ (* (/ y x) x) x) (/ y x) y (/ x (+ y x)) 1 (/ x (+ y x)) (+ y x) (/ x (+ y x)) (- 1 (/ y x)) (/ x (+ y x)) (+ y x) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 985 |
| 0 | 233 | 920 |
| 1 | 1155 | 894 |
| 0 | 8499 | 886 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
x |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
(fma.f64 (/.f64 y x) x x) |
(/.f64 y x) |
y |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (+ y x) y) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 y) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y)) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (/ (- x y) x))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 y)) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (+ x y))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 -1)) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (- (* -1 (/ x y)) 1))) |
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 x)) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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 (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (- 1 (/ y x)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(/.f64 x (neg.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))) |
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))) |
x |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x))) (-.f64 x (*.f64 (/.f64 y x) x))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 (/.f64 y x) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y x) x x) (-.f64 (*.f64 (/.f64 y x) x) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y x) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y x) x x) (-.f64 (*.f64 (/.f64 y x) x) x)) (-.f64 (*.f64 (/.f64 y x) x) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x))))) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 x (/.f64 y x) x) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x)))))) |
(+.f64 (*.f64 (/.f64 y x) x) x) |
(+.f64 x (*.f64 (/.f64 y x) 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 (*.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 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
y |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) y))) |
(/.f64 x (neg.f64 (neg.f64 #s(approx (+ y x) y)))) |
(/.f64 x #s(approx (+ y x) y)) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) y))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ y x) y)))) |
#s(approx (+ y x) y) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 x (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x y)) (*.f64 x 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 (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 (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 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (-.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 x y) x) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x))) |
(neg.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64) #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)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.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 (neg.f64 y) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))))) |
(+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))) |
(/.f64 x (neg.f64 (neg.f64 #s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))))) |
(/.f64 x #s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))))) |
#s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y)) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (-.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x y)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x)) |
#s(approx (/ x (+ y x)) (*.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 (+ y x)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 (neg.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 (+ y x) y) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (+ (* (/ y x) x) x) y) |
#s(approx (+ (* (/ y x) x) x) (+.f64 y x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (- 1 (/ y x)) (/.f64 (neg.f64 y) x)) |
#s(approx (- 1 (/ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) y) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) (+.f64 y x)) |
#s(approx (- (/ (neg x) y) 1) #s(literal -1 binary64)) |
#s(approx (- (/ (neg x) y) 1) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
#s(approx (/ (neg x) y) (/.f64 (neg.f64 x) y)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ y x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))) |
#s(approx (/ x (+ y x)) (-.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 (+ y x) x) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* (/ y x) x) x) x) |
#s(approx (+ (* (/ y x) x) x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (- 1 (/ y x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) x) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) (fma.f64 (/.f64 y x) x x)) |
#s(approx (- (/ (neg x) y) 1) (/.f64 (neg.f64 x) y)) |
#s(approx (- (/ (neg x) y) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64)))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) y)) x))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y)) x) y) x))) |
#s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (+ (* (/ y x) x) x) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 y) (*.f64 (*.f64 x x) x))) y) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx y y) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (- (/ (neg x) y) 1) (/.f64 (-.f64 (neg.f64 x) y) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 x y) x) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (-.f64 (-.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 y y))) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* (/ y x) x) x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (- 1 (/ y x)) (*.f64 (/.f64 (-.f64 x y) (*.f64 y x)) y)) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) (fma.f64 (/.f64 x y) y y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y) x) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (*.f64 (*.f64 x x) x)) (neg.f64 y)) (*.f64 x x)) y) x) y)) |
#s(approx (+ y x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
#s(approx (+ (* (/ y x) x) x) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
#s(approx (- 1 (/ y x)) (*.f64 (/.f64 (-.f64 y x) (*.f64 x y)) (neg.f64 y))) |
#s(approx (* (neg y) (- (/ (neg x) y) 1)) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))) |
Compiled 1 344 to 665 computations (50.5% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 163 | 1 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 163 | 7 | 170 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 99.7% | (/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 89.3% | (/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
| ✓ | 53.8% | (/.f64 x #s(approx (+ y x) y)) |
| ▶ | 46.8% | #s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
| ✓ | 46.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 47.4% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 48 to 48 computations (0% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ (- x y) x) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (/ (- x y) x) #s(hole binary64 (/ (+ x (* -1 y)) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (/ (- x y) x) #s(hole binary64 1)) |
#s(approx (/ (- x y) x) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #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 (- (/ y x) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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) x) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #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) x) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ x (+ y x)) (/ (- x y) x) (- x y) x y) |
| 1.0ms | x | @ | -inf | ((/ x (+ y x)) (/ (- x y) x) (- x y) x y) |
| 1.0ms | y | @ | -inf | ((/ x (+ y x)) (/ (- x y) x) (- x y) x y) |
| 1.0ms | x | @ | inf | ((/ x (+ y x)) (/ (- x y) x) (- x y) x y) |
| 0.0ms | x | @ | 0 | ((/ x (+ y x)) (/ (- x y) x) (- x y) x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 601 |
| 0 | 172 | 552 |
| 1 | 1012 | 524 |
| 0 | 8791 | 520 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
(/.f64 (-.f64 x y) x) |
(-.f64 x y) |
x |
y |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))))) |
#s(approx (/ (- x y) x) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx (/ (- x y) x) #s(hole binary64 (/ (+ x (* -1 y)) x))) |
#s(approx (- x y) #s(hole binary64 (* -1 y))) |
#s(approx (- x y) #s(hole binary64 (- x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x (+ y x)) #s(hole binary64 1)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
#s(approx (/ (- x y) x) #s(hole binary64 1)) |
#s(approx (/ (- x y) x) #s(hole binary64 (+ 1 (* -1 (/ y x))))) |
#s(approx (- x y) #s(hole binary64 x)) |
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))))) |
#s(approx (/ x (+ y x)) #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 (- (/ y x) 1))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))) |
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y))) |
#s(approx (/ x (+ y x)) #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) x) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x))))) |
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)))) |
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)))) |
#s(approx (/ x (+ y x)) #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) x) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y)))))) |
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y))))))) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) |
(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x y)) (*.f64 x 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 (fma.f64 x x (*.f64 (neg.f64 x) y)) (*.f64 x 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) (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 x)) |
(/.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 y x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 x y) x) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) x)) |
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 x))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (/.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 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (*.f64 (*.f64 x x) x)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 x x (*.f64 y (+.f64 y x)))) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 y #s(literal -1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 y (+.f64 y x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (*.f64 y (+.f64 y x))))) |
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(-.f64 x y) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 y (+.f64 y x)))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 y x))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 y)) |
x |
y |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
#s(approx (/ x (+ y x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x)) |
#s(approx (/ x (+ y x)) (*.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 (+ y x)) (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) y)) (-.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 y) x) (/.f64 (neg.f64 y) x)) |
#s(approx (/ (- x y) x) (/.f64 (-.f64 x y) x)) |
#s(approx (- x y) (neg.f64 y)) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx x x) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (-.f64 x y) x))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) x) (-.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x)))))) |
#s(approx (/ (- x y) x) #s(literal 1 binary64)) |
#s(approx (/ (- x y) x) (/.f64 (-.f64 x y) x)) |
#s(approx (- x y) x) |
#s(approx (- x y) (*.f64 (/.f64 (-.f64 x y) x) x)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) y)) x))) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) x) (*.f64 y y)) x) y) x))) |
#s(approx (- x y) (*.f64 (/.f64 (-.f64 x y) x) x)) |
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))) |
#s(approx (- x y) (-.f64 x y)) |
#s(approx y y) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 x y) (-.f64 x (/.f64 (*.f64 x x) y))) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (-.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 y y)))) (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ (- x y) x) (/.f64 (*.f64 y (-.f64 x y)) (*.f64 y x))) |
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) y) x) y)) |
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) y) (*.f64 (*.f64 x x) x)) (neg.f64 y)) (*.f64 x x)) y) x) y)) |
#s(approx (/ (- x y) x) (*.f64 (neg.f64 y) (/.f64 (-.f64 y x) (*.f64 x y)))) |
#s(approx (- x y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
Compiled 579 to 302 computations (47.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 0 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 70 | 7 | 77 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | 99.7% | (/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
| ✓ | 89.3% | (/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
| ✓ | 53.8% | (/.f64 x #s(approx (+ y x) y)) |
| ✓ | 46.8% | #s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
| ✓ | 46.8% | #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | 47.4% | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
Compiled 80 to 74 computations (7.5% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
(/.f64 x (+.f64 y x)) |
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))) |
(/.f64 x #s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 x (+.f64 y x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 x (+.f64 y x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x y) x)) |
| Outputs |
|---|
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
3 calls:
| 7.0ms | (/.f64 x (+.f64 y x)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | (/.f64 x (+.f64 y x)) |
| 75.0% | 3 | x |
| 78.8% | 3 | y |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (+ y x) y)) |
| Outputs |
|---|
(/.f64 x #s(approx (+ y x) y)) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (/.f64 x (+.f64 y x)) |
Compiled 4 to 4 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (+.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 1 | x |
| 47.4% | 1 | y |
| 47.4% | 1 | (/.f64 x (+.f64 y x)) |
Compiled 6 to 8 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1319562103864391e-11 | 0.6340128050050969 |
Compiled 7 to 9 computations (-28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1319562103864391e-11 | 0.6340128050050969 |
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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