
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)
| 641.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 183.0ms (57.1% of total)ival-mult: 68.0ms (21.2% of total)ival-div: 58.0ms (18.1% of total)exact: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)adjust: 2.0ms (0.6% 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 |
| 28.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add: 6.0ms (44.7% of total)ival-mult: 4.0ms (29.8% of total)ival-div: 3.0ms (22.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (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 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 22 | 9 |
| 2 | 43 | 9 |
| 3 | 69 | 9 |
| 4 | 108 | 9 |
| 5 | 196 | 9 |
| 6 | 808 | 9 |
| 7 | 5265 | 9 |
| 0 | 8112 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.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) |
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 9 to 8 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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 6 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 6 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
| 70.3% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| ▶ | 65.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 64.9% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 36.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 36.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 146 to 116 computations (20.5% 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 #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 (+ (* 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 (* (+ 1/2 y) 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 (* (+ 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 (+ (* 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 (* (+ 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 (+ (* 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 (* (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 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) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 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) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 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) (* (+ 1/2 y) x) (+ 1/2 y)) |
| 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) (* (+ 1/2 y) x) (+ 1/2 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 799 |
| 0 | 142 | 731 |
| 1 | 655 | 699 |
| 0 | 5593 | 655 |
| 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 #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 (+ (* 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 (* (+ 1/2 y) 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 (* (+ 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 (+ (* 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 (* (+ 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 (+ (* 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 (* (+ 1/2 y) 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 #s(literal 1/4 binary64) (*.f64 x x)) (*.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 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (-.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 x) (-.f64 y #s(literal -1/2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.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 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #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 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) |
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#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)) 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 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 (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)))) |
#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 3 804 to 497 computations (86.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 3 | 195 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 194 | 7 | 201 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.9% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 70.3% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 65.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 64.9% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 30.8% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 36.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 36.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 92 to 74 computations (19.6% 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 |
(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 (* (+ 1/2 y) 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 (* (+ 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 (+ (* 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 (* (+ 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 (+ (* 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 (* (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y) 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) (* (+ 1/2 y) x) (+ 1/2 y) 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 | 135 | 829 |
| 0 | 138 | 776 |
| 1 | 675 | 714 |
| 0 | 5805 | 656 |
| 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 |
(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 (* (+ 1/2 y) 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 (* (+ 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 (+ (* 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 (* (+ 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 (+ (* 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 (* (+ 1/2 y) 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 (+ 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 |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 1/2 x) z) z) #s(approx (+ (* 1/2 x) z) z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
(fma.f64 x y #s(approx (+ (* 1/2 x) z) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) z))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 2 binary64)) (-.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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) z) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2 x) z) z) (-.f64 #s(approx (+ (* 1/2 x) z) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.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 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.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 (* (+ 1/2 y) 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 (+.f64 (/.f64 z x) 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 (+ (* y x) (+ (* 1/2 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 (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)))) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) 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 (+ (* 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 (* (+ 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 (+ (* 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 (* (+ 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 (+ (* 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 (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 (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 (+.f64 (/.f64 (fma.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 (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 (+ (* y x) (+ (* 1/2 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 1 713 to 232 computations (86.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 0 | 85 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 85 | 7 | 92 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.9% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 70.3% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 65.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 64.9% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 30.8% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 36.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 36.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 213 to 110 computations (48.4% 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)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) 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) |
(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:
| 13.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.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)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) 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) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| 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 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 79.8% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 88.6% | 4 | x |
| 98.5% | 3 | y |
| 90.6% | 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)) |
| 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)) |
2 calls:
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 3 | z |
| 90.3% | 3 | y |
Compiled 2 to 6 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) z) |
#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) (*.f64 y x)) |
5 calls:
| 5.0ms | (+.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 |
|---|---|---|
| 59.2% | 4 | z |
| 55.2% | 5 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 58.0% | 4 | x |
| 64.2% | 5 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 66.6% | 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)) |
1 calls:
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 3 | y |
Compiled 1 to 3 computations (-200% 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:
| 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 | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.7% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 36.7% | 1 | x |
| 36.7% | 1 | z |
| 36.7% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 36.7% | 1 | y |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.258209247413863e-6 | 7348.488124491195 |
| 15.0ms | -362189280033.53375 | -0.1942024477496532 |
| 16.0ms | 304× | 0 | valid |
Compiled 468 to 413 computations (11.8% saved)
ival-add: 4.0ms (47.9% of total)ival-div: 2.0ms (23.9% of total)ival-mult: 2.0ms (23.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 6.258209247413863e-6 | 7348.488124491195 |
| 3.0ms | -1.3576125774215482e+31 | -1.169746969340855e+31 |
| 58.0ms | 144× | 0 | valid |
Compiled 309 to 267 computations (13.6% saved)
ival-div: 52.0ms (95.6% of total)ival-add: 1.0ms (1.8% of total)ival-mult: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.258209247413863e-6 | 7348.488124491195 |
| 10.0ms | -7.240378466331207e-195 | -7.248768449248255e-198 |
| 0.0ms | -1.3576125774215482e+31 | -1.169746969340855e+31 |
| 6.0ms | 128× | 0 | valid |
Compiled 554 to 490 computations (11.6% saved)
ival-div: 1.0ms (33.9% of total)ival-add: 1.0ms (33.9% of total)ival-mult: 1.0ms (33.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.3633657706967745e-9 | 6.258209247413863e-6 |
| 0.0ms | -1.3576125774215482e+31 | -1.169746969340855e+31 |
| 10.0ms | 128× | 0 | valid |
Compiled 252 to 224 computations (11.1% saved)
ival-div: 5.0ms (75.8% of total)ival-add: 1.0ms (15.2% of total)ival-mult: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 186 |
| 1 | 65 | 186 |
| 2 | 91 | 186 |
| 3 | 126 | 186 |
| 4 | 188 | 186 |
| 5 | 522 | 186 |
| 6 | 3700 | 186 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #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)))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 7200 binary64)) #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)))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal -999425821294191/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 1/2 binary64)) #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) (*.f64 y x))))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 3659834024223975/590295810358705651712 binary64)) #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) z) |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #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)))) |
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (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))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 7200 binary64)) #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)))) |
(if (or (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) (not (<=.f64 y #s(literal 7200 binary64)))) #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))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal -999425821294191/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 1/2 binary64)) #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) (*.f64 y x))))) |
(if (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 3659834024223975/590295810358705651712 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -12999999999999999977025146191872 binary64)) (not (<=.f64 y #s(literal 3659834024223975/590295810358705651712 binary64)))) #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) z) |
| 1× | done |
Compiled 186 to 47 computations (74.7% saved)
Compiled 390 to 110 computations (71.8% saved)
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