
Time bar (total: 2.4s)
| 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)
| 610.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-div!: 119.0ms (57.8% of total)ival-mult!: 48.0ms (23.3% of total)ival-add!: 38.0ms (18.5% of total)adjust: 2.0ms (1% 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add!: 3.0ms (36% of total)ival-mult!: 3.0ms (36% of total)ival-div!: 2.0ms (24% of total)adjust: 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 | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 2.0ms | x | @ | 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)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 7 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 7 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) | |
| ▶ | 100.0% | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
| 73.1% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| ▶ | 68.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 59.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 33.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 41.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 158 to 128 computations (19% 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 | 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)) |
| 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)) |
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)) |
(/.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))) (-.f64 (*.f64 x y) (fma.f64 #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)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 4 | 195 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 194 | 8 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
| ▶ | 59.7% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 73.1% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 68.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ▶ | 29.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 33.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 41.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 98 to 80 computations (18.4% 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) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| 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 (+ (* (- y -1/2) x) z) #s(hole binary64 z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 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 (+ (* 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* (- y -1/2) 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 (+ (* 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))))) |
#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 (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (+ (/ 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ 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 (+ (* (- y -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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) 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))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 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 (+ (* 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) (+ (* (- y -1/2) x) z) (- y -1/2) -1/2) |
| 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) (+ (* (- y -1/2) x) z) (- y -1/2) -1/2) |
| 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) (+ (* (- y -1/2) x) z) (- y -1/2) -1/2) |
| 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) (+ (* (- y -1/2) x) z) (- y -1/2) -1/2) |
| 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) (+ (* (- y -1/2) x) z) (- y -1/2) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1063 |
| 0 | 171 | 1032 |
| 1 | 804 | 889 |
| 0 | 6519 | 859 |
| 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) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#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 (+ (* (- y -1/2) x) z) #s(hole binary64 z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 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 (+ (* 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* (- y -1/2) 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 (+ (* 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))))) |
#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 (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (+ (/ 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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ 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 (+ (* (- y -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 (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) 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))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) 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)) |
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#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)) (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) #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)) (*.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 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) 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 (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 (/.f64 x y) #s(literal -1/2 binary64) (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 (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 (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 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) z)) |
#s(approx (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) z)) |
#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 (+ (* y x) (+ (* 1/2 x) z)) (*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) z)) |
Compiled 2 823 to 407 computations (85.6% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 0 | 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 152 | 8 | 160 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
| ✓ | 59.7% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 73.1% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) z)) |
| ✓ | 68.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 29.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) |
| ✓ | 33.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 41.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 231 to 120 computations (48.1% 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 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
5 calls:
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 4.0ms | (+.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 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
5 calls:
| 6.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 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) |
| 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 |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 4 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 80.5% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 86.8% | 3 | x |
| 99.5% | 3 | y |
| 87.0% | 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)) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | x |
| 68.0% | 1 | z |
| 80.0% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 85.9% | 3 | y |
Compiled 10 to 16 computations (-60% 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:
| 55.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 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) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 5 | z |
| 59.1% | 4 | x |
| 64.5% | 4 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 52.5% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 63.2% | 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:
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 3 | y |
| 60.7% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 8 to 10 computations (-25% 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 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 41.0% | 1 | z |
| 41.0% | 1 | x |
| 41.0% | 1 | y |
| 41.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.87004709683005e-13 | 4.439247090777409e-6 |
| 10.0ms | -16202.84749720391 | -0.0007788666487877231 |
| 10.0ms | 288× | 0 | valid |
Compiled 444 to 392 computations (11.7% saved)
ival-add!: 1.0ms (24.8% of total)ival-div!: 1.0ms (24.8% of total)ival-mult!: 1.0ms (24.8% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 3.402678624633682e+42 | 5.766559707956354e+48 |
| 10.0ms | -8.205423580472162e+21 | -60861085777801416.0 |
| 11.0ms | 288× | 0 | valid |
Compiled 498 to 428 computations (14.1% saved)
ival-add!: 1.0ms (23.6% of total)ival-div!: 1.0ms (23.6% of total)ival-mult!: 1.0ms (23.6% of total)adjust: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1106432869861114e+105 | 1.9854024021221514e+105 |
| 0.0ms | -7.609904208767497e+122 | -6.354489258583438e+99 |
| 0.0ms | -8.145146062163086e+307 | -8.307928837209239e+306 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1106432869861114e+105 | 1.9854024021221514e+105 |
| 0.0ms | -7.609904208767497e+122 | -6.354489258583438e+99 |
Compiled 12 to 14 computations (-16.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 222 |
| 1 | 71 | 222 |
| 2 | 97 | 222 |
| 3 | 132 | 222 |
| 4 | 194 | 222 |
| 5 | 528 | 222 |
| 6 | 3706 | 222 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) 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 2597301565578305/590295810358705651712 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 -5700000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 219999999999999993420157786995427078861689454592 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1500000000000000034702199758828348202268396572294321783158398922929322902495677655104062026464406519414784 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1500000000000000034702199758828348202268396572294321783158398922929322902495677655104062026464406519414784 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)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) 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 2597301565578305/590295810358705651712 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 2597301565578305/590295810358705651712 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 -5700000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 219999999999999993420157786995427078861689454592 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 -5700000000000000000 binary64)) (not (<=.f64 y #s(literal 219999999999999993420157786995427078861689454592 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1500000000000000034702199758828348202268396572294321783158398922929322902495677655104062026464406519414784 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1500000000000000034702199758828348202268396572294321783158398922929322902495677655104062026464406519414784 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 1500000000000000034702199758828348202268396572294321783158398922929322902495677655104062026464406519414784 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 222 to 55 computations (75.2% saved)
Compiled 462 to 126 computations (72.7% saved)
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