
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 331.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-mult!: 49.0ms (37.6% of total)ival-div!: 44.0ms (33.8% of total)ival-add!: 36.0ms (27.6% of total)adjust: 1.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (*.f64 y x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 22.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult!: 3.0ms (39.1% of total)ival-add!: 2.0ms (26.1% of total)ival-div!: 2.0ms (26.1% of total)adjust: 0.0ms (0% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 97 |
| 1 | 92 | 93 |
| 2 | 220 | 93 |
| 3 | 341 | 93 |
| 4 | 481 | 93 |
| 5 | 758 | 90 |
| 6 | 2221 | 90 |
| 7 | 5225 | 90 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 18 to 16 computations (11.1% 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 | 398 |
| 1 | 493 | 350 |
| 0 | 4368 | 327 |
| 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 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #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)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (fma.f64 y x z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) 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 #s(literal 1/2 binary64) y) 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 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) 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 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) (*.f64 z z)))) |
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) 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 #s(literal 1/2 binary64) y))) |
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))) |
(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 (*.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) (*.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.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 #s(literal 1/2 binary64) y) x z)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) 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 #s(literal 1/2 binary64) y) 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 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (+.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)))) |
#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 #s(literal 1/2 binary64) y) x z)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) 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 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx z z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
Compiled 1 667 to 321 computations (80.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 5 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 5 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ▶ | 64.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 63.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 37.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 37.8% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 132 to 104 computations (21.2% saved)
| Inputs |
|---|
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
#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) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x) |
(+.f64 #s(literal 1/2 binary64) y) |
| 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 (* y x) #s(hole binary64 (* x 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 (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 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 (+ (* 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 (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 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 (+ (/ 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 (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 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 (* (+ 1/2 y) x) #s(hole binary64 (* x y))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 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 (* (+ 1/2 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 (+ (* 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 (+ (* 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) (+ (/ x 2) (* y x)) (* y x) y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 1.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) y x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 677 |
| 0 | 136 | 648 |
| 1 | 644 | 580 |
| 0 | 5488 | 552 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
#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) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(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 (* y x) #s(hole binary64 (* x 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 (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 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 (+ (* 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 (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 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 (+ (/ 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 (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 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 (* (+ 1/2 y) x) #s(hole binary64 (* x y))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 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 (* (+ 1/2 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 (+ (* 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 (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))))) |
(+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
#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) (fma.f64 #s(literal 1/2 binary64) x z)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) z) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(-.f64 z (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 z (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) z) |
(+.f64 z (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
#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 x (-.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) y)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) (*.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) (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) 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 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) 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 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #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)) (-.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 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 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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #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 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (* y x) (*.f64 y x)) |
#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)) (*.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 (+.f64 (/.f64 z x) y) #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 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)))) |
#s(approx (+ (* 1/2 x) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1/2 binary64)))) |
#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)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64))) |
#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)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ 1/2 y) y) |
#s(approx (+ 1/2 y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 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 (+ (* 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 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* 1/2 x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
Compiled 2 886 to 399 computations (86.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 1 | 133 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 132 | 6 | 138 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 64.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 63.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 28.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 37.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 37.8% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 83 to 66 computations (20.5% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#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 (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 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 (+ (+ (/ 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)) 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 (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 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 (* (+ 1/2 y) x) #s(hole binary64 (* x y))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (+ 1/2 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 (+ (+ (/ 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x) |
| 0.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x) |
| 0.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x) |
| 0.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (+ 1/2 y) x) (+ 1/2 y) 1/2 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 412 |
| 0 | 95 | 384 |
| 1 | 525 | 352 |
| 0 | 4668 | 328 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#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 (* (+ 1/2 y) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 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 (+ (+ (/ 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)) 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 (* (+ 1/2 y) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ 1/2 y) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 y) #s(hole binary64 (+ 1/2 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 (* (+ 1/2 y) x) #s(hole binary64 (* x y))) |
#s(approx (* (+ 1/2 y) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 y) #s(hole binary64 y)) |
#s(approx (+ 1/2 y) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (+ 1/2 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 (+ (+ (/ 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 |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x) |
(*.f64 x #s(approx (+ 1/2 y) #s(literal 1/2 binary64))) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#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 (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx 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 (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))) |
#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 (* (+ 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ 1/2 y) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ 1/2 y) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 y) (-.f64 y #s(literal -1/2 binary64))) |
#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 (* (+ 1/2 y) x) (*.f64 y x)) |
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) x) y)) |
#s(approx (+ 1/2 y) y) |
#s(approx (+ 1/2 y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y) x)) (neg.f64 y))) |
#s(approx (* (+ 1/2 y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 x)) (neg.f64 y))) |
#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 (+ (+ (/ x 2) (* y x)) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
Compiled 499 to 89 computations (82.2% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 27 | 0 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 27 | 6 | 33 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 64.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 63.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 28.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 37.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 37.8% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 175 to 94 computations (46.3% 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 (+ 1/2 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) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
5 calls:
| 5.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 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 19 to 24 computations (-26.3% 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 (+ 1/2 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) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
5 calls:
| 2.0ms | z |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 5 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 81.6% | 5 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 88.5% | 3 | x |
| 99.3% | 3 | y |
| 84.6% | 3 | z |
Compiled 19 to 24 computations (-26.3% 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 (+ 1/2 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) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| 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 (+.f64 #s(literal 1/2 binary64) y) x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | y |
Compiled 1 to 3 computations (-200% 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 (+ 1/2 y) #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)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | y |
Compiled 1 to 3 computations (-200% 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 (+ 1/2 y) #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 (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 10.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 4 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 56.5% | 5 | z |
| 66.6% | 5 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 55.2% | 3 | x |
| 67.3% | 4 | y |
Compiled 19 to 24 computations (-26.3% 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 |
|---|---|---|
| 60.5% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 62.5% | 3 | y |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
5 calls:
| 1.0ms | y |
| 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)) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.8% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 37.8% | 1 | z |
| 37.8% | 1 | x |
| 37.8% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 37.8% | 1 | y |
Compiled 19 to 24 computations (-26.3% saved)
Compiled 12 to 14 computations (-16.7% saved)
| Time | Left | Right |
|---|---|---|
| 0.0ms | -831.9926897636891 | -1.470143600115242e-21 |
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