
Time bar (total: 2.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 444.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
ival-mult!: 78.0ms (37.8% of total)ival-add!: 70.0ms (33.9% of total)ival-div!: 57.0ms (27.6% of total)adjust: 2.0ms (1% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 95 |
| 1 | 93 | 90 |
| 2 | 252 | 90 |
| 3 | 467 | 90 |
| 4 | 645 | 90 |
| 5 | 837 | 90 |
| 6 | 2284 | 90 |
| 7 | 5395 | 90 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 426 |
| 0 | 97 | 387 |
| 1 | 503 | 339 |
| 0 | 4709 | 316 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y x z) (fma.f64 y x z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z)) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) |
(/.f64 (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))) |
(/.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z))) |
(neg.f64 (-.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) z)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))) x z) |
(fma.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) z) |
(fma.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) z) |
(fma.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 x) z) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (fma.f64 y x z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z)) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 x (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) z) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))) z) |
(fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z)) |
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64))) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (neg.f64 x) y) z)) |
(-.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x))) |
(-.f64 z (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z)))) |
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)) |
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 x)) (-.f64 y #s(literal -1/2 binary64)))) |
(+.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 x (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 x (-.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 y x) y) x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(neg.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 y x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 (neg.f64 y)) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y x)) |
(fma.f64 x y (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx y y) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) z) y) x) (neg.f64 y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
Compiled 864 to 367 computations (57.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 7 | 123 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) | |
| ▶ | 100.0% | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
| 77.2% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| ▶ | 64.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 59.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 37.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 41.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 128 to 128 computations (0% saved)
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
y |
x |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | x | @ | inf | ((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | x | @ | 0 | ((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | y | @ | inf | ((+ (* y x) (+ (* 1/2 x) z)) y x (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 800 |
| 0 | 144 | 717 |
| 1 | 684 | 683 |
| 0 | 6174 | 637 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
y |
x |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z)) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (*.f64 (-.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (fma.f64 x y (-.f64 (*.f64 #s(literal -1/2 binary64) x) z)))) (neg.f64 (fma.f64 x y (-.f64 (*.f64 #s(literal -1/2 binary64) x) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (-.f64 y #s(literal -1/2 binary64)) (*.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))))) |
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(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (neg.f64 y))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(neg.f64 (-.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 y)) |
(-.f64 y #s(literal -1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx x x) |
#s(approx (+ (* 1/2 x) z) z) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx y y) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y)) |
#s(approx (* (- y -1/2) x) (*.f64 x y)) |
#s(approx (* (- y -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (- y -1/2) y) |
#s(approx (- y -1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) z) y) x) (neg.f64 y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) z) y) x) (neg.f64 y))) |
#s(approx (* (- y -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
Compiled 1 473 to 562 computations (61.8% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 197 | 3 | 200 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 200 | 7 | 207 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.5% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 77.2% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 64.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 24.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 37.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 41.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 74 to 74 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
y |
#s(approx (+ (* 1/2 x) z) z) |
z |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (* 1/2 x) z)) y (+ (* 1/2 x) z) z (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x)) |
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (* 1/2 x) z)) y (+ (* 1/2 x) z) z (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (* 1/2 x) z)) y (+ (* 1/2 x) z) z (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x)) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (* 1/2 x) z)) y (+ (* 1/2 x) z) z (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x)) |
| 1.0ms | z | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (* 1/2 x) z)) y (+ (* 1/2 x) z) z (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 829 |
| 0 | 139 | 757 |
| 1 | 703 | 695 |
| 0 | 6395 | 637 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
y |
#s(approx (+ (* 1/2 x) z) z) |
z |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
(*.f64 x #s(approx (- y -1/2) #s(literal 1/2 binary64))) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 (-.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z)))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) #s(approx (+ (* 1/2 x) z) z)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)))))) |
(/.f64 (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) #s(approx (+ (* 1/2 x) z) z))) (fma.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z) (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) #s(approx (+ (* 1/2 x) z) z))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))))) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
(fma.f64 x y #s(approx (+ (* 1/2 x) z) z)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z))) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z)))) |
(-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z)) #s(approx (+ (* 1/2 x) z) z)) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)))))) |
(+.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z)) |
y |
#s(approx (+ (* 1/2 x) z) z) |
z |
(/.f64 (-.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) x)))) |
(/.f64 (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) x))) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x y #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) x))) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) x)))) |
(+.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) z) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) z) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* 1/2 x) z) z) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z x))) x)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx y y) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 y x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y)) |
#s(approx (* (- y -1/2) x) (*.f64 y x)) |
#s(approx (* (- y -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (- y -1/2) y) |
#s(approx (- y -1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 y x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x) y)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) z) y) x) (neg.f64 y))) |
#s(approx (* (- y -1/2) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) z) y) x) (neg.f64 y))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z z) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* 1/2 x) z) (*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) |
Compiled 726 to 216 computations (70.2% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 0 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 63 | 7 | 70 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.5% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 77.2% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 64.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 24.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 37.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 41.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 134 to 113 computations (15.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
5 calls:
| 4.0ms | z |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 17 to 24 computations (-41.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
5 calls:
| 32.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 17 to 24 computations (-41.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
5 calls:
| 3.0ms | z |
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 85.2% | 4 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 90.3% | 3 | x |
| 99.2% | 3 | y |
| 87.5% | 3 | z |
Compiled 17 to 24 computations (-41.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
3 calls:
| 27.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 68.2% | 2 | x |
| 87.7% | 3 | y |
Compiled 8 to 13 computations (-62.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 4 | x |
| 73.9% | 6 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 63.5% | 4 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 58.6% | 5 | z |
| 69.1% | 5 | y |
Compiled 17 to 24 computations (-41.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
2 calls:
| 1.0ms | y |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | y |
| 65.7% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 7 to 10 computations (-42.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
5 calls:
| 4.0ms | x |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.7% | 1 | z |
| 41.7% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 41.7% | 1 | x |
| 41.7% | 1 | y |
| 41.7% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 17 to 24 computations (-41.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.396462976485634e-34 | 3.177725207388654e-33 |
| 12.0ms | -700994925.360211 | -0.06173265936222668 |
| 10.0ms | 272× | 0 | valid |
Compiled 335 to 371 computations (-10.7% saved)
ival-mult!: 2.0ms (47.5% of total)ival-add!: 1.0ms (23.7% of total)ival-div!: 1.0ms (23.7% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1103404936.1003335 | 26360683024857150.0 |
| 11.0ms | -8.194749693461802e+19 | -10199991838854.703 |
| 11.0ms | 288× | 0 | valid |
Compiled 390 to 428 computations (-9.7% saved)
ival-add!: 2.0ms (45.2% of total)ival-div!: 1.0ms (22.6% of total)ival-mult!: 1.0ms (22.6% of total)adjust: 0.0ms (0% of total)| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.1573545019537964e+298 | +inf |
| 0.0ms | 5.393510056238406e+242 | 2.1147914800034904e+244 |
| 0.0ms | 6.592084062215204e+150 | 2.0674682291287117e+160 |
| 0.0ms | -2.3152277247956732e+30 | -134303950936592930.0 |
| 0.0ms | -4.448477547620103e+240 | -2.048678475586517e+240 |
Compiled 11 to 14 computations (-27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.592084062215204e+150 | 2.0674682291287117e+160 |
| 0.0ms | -2.5588623191335266e+236 | -2.3675979828496866e+230 |
Compiled 11 to 14 computations (-27.3% saved)
| 1× | done |
Compiled 78 to 61 computations (21.8% saved)
Compiled 86 to 69 computations (19.8% saved)
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