
Time bar (total: 8.4s)
| 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)
| 994.0ms | 8 256× | 0 | valid |
ival-sin: 334.0ms (46.2% of total)ival-cos: 208.0ms (28.7% of total)ival-mult!: 150.0ms (20.7% of total)ival-add!: 30.0ms (4.1% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 93 |
| 1 | 97 | 90 |
| 2 | 222 | 90 |
| 3 | 629 | 90 |
| 4 | 3947 | 90 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 505 |
| 0 | 151 | 499 |
| 1 | 861 | 493 |
| 0 | 7779 | 451 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
z |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx (* x (sin y)) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (* x (sin y)) (*.f64 y x)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) y) y x) y)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) y) y x) y)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) y) y z)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))))) |
Compiled 595 to 242 computations (59.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 10 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 10 | 58 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 48.3% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) | |
| 78.2% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ▶ | 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
| 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| 90.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| ▶ | 88.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| ▶ | 59.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| ▶ | 39.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 256 to 250 computations (2.3% saved)
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(*.f64 z y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ (cos y) x))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x)) |
| 4.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x)) |
| 3.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x)) |
| 3.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x)) |
| 3.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 1252 |
| 0 | 302 | 1209 |
| 1 | 1643 | 1203 |
| 0 | 8173 | 1158 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(*.f64 z y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ (cos y) x))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (neg.f64 (cos.f64 y)) z))) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (cos.f64 y)) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (cos.f64 y)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
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(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
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z |
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(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
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#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
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(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))))) (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(*.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(/.f64 (cos.f64 y) x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx x x) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (+.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (*.f64 x y)) z)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* z y) -1/2) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) x)) |
#s(approx (/ (cos y) x) (/.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) y) x)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x)) (neg.f64 y)))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (cos y) x) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (cos y) x) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (cos y) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 x y))) (*.f64 y y))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (/.f64 z y))) y))) (*.f64 y y))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (neg.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (* z y) -1/2) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 (cos.f64 y)) x)) z))) |
Compiled 2 339 to 801 computations (65.8% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 17 | 184 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 170 | 24 | 194 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 78.2% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 48.3% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ▶ | 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
| 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| 90.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 59.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) z)) | |
| 88.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) x)) | |
| 41.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 59.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 46.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 34.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| ▶ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
| ▶ | 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ▶ | 91.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z))) |
| 9.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) | |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ▶ | 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| ✓ | 39.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 783 to 737 computations (5.9% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z))) |
(neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z)) |
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z) |
(+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(neg.f64 (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
(fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 z y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(*.f64 (/.f64 (cos.f64 y) x) z) |
(/.f64 (cos.f64 y) x) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* x (sin y)) (* -1 (* z (cos y)))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* -1 (* z (cos y))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (* -1 (cos y)))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
#s(approx (neg (/ (* (sin y) x) z)) #s(hole binary64 (* -1 (/ (* x (sin y)) z)))) |
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ (cos y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* x (- (/ (* z (cos y)) x) (* -1 (sin y)))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* -1 (* x (sin y))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (* x (- (* -1 (/ (cos y) x)) (/ (sin y) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) (sin y)))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* -1 (* x (+ (sin y) (/ (* z (cos y)) x)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (* -1 (* x (- (/ (cos y) x) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* x y) (* -1 z)))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* y (- (* -1/2 (* y z)) (* -1 x))) (* -1 z)))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* y (- (* y (- (* -1/6 (* x y)) (* 1/2 z))) (* -1 x))) (* -1 z)))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* -1 z))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (+ (* -1 z) (* -1 (* x y))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (+ (* -1 z) (* y (+ (* -1 x) (* 1/2 (* y z))))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (+ (* -1 z) (* y (+ (* -1 x) (* y (+ (* 1/6 (* x y)) (* 1/2 z)))))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 -1)) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (- (* -1 (/ (* x y) z)) 1))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (- (* y (- (* 1/2 y) (/ x z))) 1))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (- (* y (- (* y (+ 1/2 (* 1/6 (/ (* x y) z)))) (/ x z))) 1))) |
#s(approx (neg (/ (* (sin y) x) z)) #s(hole binary64 (* -1 (/ (* x y) z)))) |
#s(approx (neg (/ (* (sin y) x) z)) #s(hole binary64 (* y (- (* 1/6 (/ (* x (pow y 2)) z)) (/ x z))))) |
#s(approx (neg (/ (* (sin y) x) z)) #s(hole binary64 (* y (- (* (pow y 2) (- (* -1/120 (/ (* x (pow y 2)) z)) (* -1/6 (/ x z)))) (/ x z))))) |
#s(approx (neg (/ (* (sin y) x) z)) #s(hole binary64 (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))) (* -1/6 (/ x z)))) (/ x z))))) |
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (/ (* x y) z))) |
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))) |
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))) |
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (neg (cos y)) #s(hole binary64 (- (* 1/2 (pow y 2)) 1))) |
#s(approx (neg (cos y)) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
#s(approx (neg (cos y)) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* 1/24 (pow y 2)) 1/2))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (* (/ (cos y) x) z) #s(hole binary64 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
#s(approx (* (/ (cos y) x) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x)))) |
#s(approx (* (/ (cos y) x) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (* -1 (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* -1/720 (pow y 6)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* z (cos y)) (* -1 (* x (sin y)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (/ (- (* -1 (* z (cos y))) (* x (sin y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* z (- (/ (* x (sin y)) z) (* -1 (cos y)))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg (/ (* (sin y) x) z)) (/ (* (sin y) x) z) (* (sin y) x) (sin y) y x z (neg (cos y)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (* z y) -1/2) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 (* y y) 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (cos y) x) z) (/ (cos y) x)) |
| 16.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg (/ (* (sin y) x) z)) (/ (* (sin y) x) z) (* (sin y) x) (sin y) y x z (neg (cos y)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (* z y) -1/2) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 (* y y) 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (cos y) x) z) (/ (cos y) x)) |
| 14.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg (/ (* (sin y) x) z)) (/ (* (sin y) x) z) (* (sin y) x) (sin y) y x z (neg (cos y)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (* z y) -1/2) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 (* y y) 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (cos y) x) z) (/ (cos y) x)) |
| 5.0ms | y | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg (/ (* (sin y) x) z)) (/ (* (sin y) x) z) (* (sin y) x) (sin y) y x z (neg (cos y)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (* z y) -1/2) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 (* y y) 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (cos y) x) z) (/ (cos y) x)) |
| 4.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg (/ (* (sin y) x) z)) (/ (* (sin y) x) z) (* (sin y) x) (sin y) y x z (neg (cos y)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (* z y) -1/2) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 (* y y) 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (cos y) x) z) (/ (cos y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 3170 |
| 0 | 568 | 3039 |
| 1 | 2989 | 3011 |
| 0 | 10343 | 2824 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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y |
x |
z |
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#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
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#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 -1)) |
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#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
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#s(approx (sin y) #s(hole binary64 y)) |
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#s(approx (neg (cos y)) #s(hole binary64 (- (* 1/2 (pow y 2)) 1))) |
#s(approx (neg (cos y)) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
#s(approx (neg (cos y)) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))) |
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#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (- (* z (cos y)) (* -1 (* x (sin y)))))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(hole binary64 (/ (- (* -1 (* z (cos y))) (* x (sin y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* z (- (/ (* x (sin y)) z) (* -1 (cos y)))))) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) #s(hole binary64 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) z) |
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z)) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) (neg.f64 z)) |
(neg.f64 (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z) |
(*.f64 z (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) |
(fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) z)) |
(fma.f64 z (neg.f64 (cos.f64 y)) (*.f64 z (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))) |
(+.f64 (*.f64 z (neg.f64 (cos.f64 y))) (*.f64 z (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) z)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) z))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))))) |
(neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) z) (neg.f64 (cos.f64 y))) |
(fma.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x z) (neg.f64 (cos.f64 y))) |
(fma.f64 (/.f64 x z) (/.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 (cos.f64 y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x #s(literal -1 binary64)) (neg.f64 (cos.f64 y))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal -1 binary64) (neg.f64 (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) z) (neg.f64 (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))) |
(fma.f64 (cos.f64 y) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))) (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y))))) |
(-.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(+.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))))) (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y))))))) |
(+.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) z)) |
(*.f64 (sin.f64 y) (/.f64 x z)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
z |
(*.f64 #s(literal -1 binary64) (cos.f64 y)) |
(*.f64 (cos.f64 y) #s(literal -1 binary64)) |
(neg.f64 (cos.f64 y)) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (PI.f64))) (*.f64 (sin.f64 y) (sin.f64 (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 y (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(cos.f64 (+.f64 y (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 y x))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (-.f64 (*.f64 z z) (*.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y)) (*.f64 z z)) (-.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) (-.f64 (*.f64 z z) (*.f64 (*.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y) z)))) |
(fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z) |
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(fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
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(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))) |
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(+.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) |
#s(literal -1/720 binary64) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
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(*.f64 (fabs.f64 y) (fabs.f64 y)) |
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(*.f64 y y) |
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(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(fabs.f64 (*.f64 y y)) |
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#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
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(*.f64 x #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (cos.f64 y) x)) |
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(*.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 (cos.f64 y) x) z) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(*.f64 z (/.f64 (cos.f64 y) x)) |
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 2 binary64) x)) |
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(/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(/.f64 (cos.f64 y) x) |
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#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
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#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg.f64 (cos.f64 y))) |
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#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
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#s(approx (+ (* (* z y) -1/2) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
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#s(approx (/ (cos y) x) (/.f64 (cos.f64 y) x)) |
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#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
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#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
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#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (neg.f64 z)) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (fma.f64 (neg.f64 x) y (neg.f64 z))) |
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#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) #s(literal -1 binary64)) |
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#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x z)) y) #s(literal 1 binary64))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) |
#s(approx (neg (/ (* (sin y) x) z)) (/.f64 (*.f64 (neg.f64 x) y) z)) |
#s(approx (neg (/ (* (sin y) x) z)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) x) z) y)) |
#s(approx (neg (/ (* (sin y) x) z)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 y y) x)) (*.f64 #s(literal -1/6 binary64) x)) z) (*.f64 y y)) (/.f64 x z)) y)) |
#s(approx (neg (/ (* (sin y) x) z)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 y y) x)) (*.f64 #s(literal 1/120 binary64) x)) z) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 x z))) (*.f64 y y)) (/.f64 x z)) y)) |
#s(approx (/ (* (sin y) x) z) (/.f64 (*.f64 y x) z)) |
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#s(approx (/ (* (sin y) x) z) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) z) (*.f64 y y) (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (neg (cos y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (cos y)) (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (neg (cos y)) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (* (/ (cos y) x) z) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x)) |
#s(approx (* (/ (cos y) x) z) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) x) (*.f64 y y) (/.f64 z x))) |
#s(approx (* (/ (cos y) x) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) x) (*.f64 y y) (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 z x))) |
#s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (cos y) x) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (cos y) x) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (cos y) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (*.f64 (neg.f64 z) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 x y))) (*.f64 y y))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (-.f64 (+.f64 (pow.f64 y #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/720 binary64))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y))))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y)))) |
#s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 y x))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (neg.f64 (cos.f64 y))) z)) |
#s(approx (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z) (*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))) |
#s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (cos.f64 y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 z) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 (cos.f64 y)) x) (/.f64 (sin.f64 y) z)))) |
Compiled 4 618 to 1 885 computations (59.2% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 14 | 312 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 304 | 32 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 78.2% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 48.3% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ✓ | 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
| ▶ | 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 90.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 59.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) z)) | |
| 41.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 59.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 46.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 34.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)) | |
| ▶ | 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x)) |
| ✓ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
| 32.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) | |
| 34.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| ▶ | 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 3.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) | |
| 79.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))) z))) | |
| 69.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) z))) | |
| 49.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) | |
| 44.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) | |
| ▶ | 9.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ✓ | 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 86.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))) | |
| ✓ | 39.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 1 175 to 1 087 computations (7.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(*.f64 y y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
(/.f64 (cos.f64 y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y x) z) #s(hole binary64 z)) |
#s(approx (+ (* y x) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (+ (* -1/2 (* (pow y 2) z)) (* x y)))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (+ (* -1/2 z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (neg z) x) #s(hole binary64 (* -1 (/ z x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* x (+ y (/ z x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* x (+ y (* -1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* x (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* y (+ x (* -1/2 (* y z)))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) y))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1/2 y))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* y (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (- (* 1/24 (pow y 2)) 1/2))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) #s(hole binary64 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* 1/24 y))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* y (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow y 2))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x)))) |
#s(approx (/ (cos y) -1) #s(hole binary64 -1)) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* 1/2 (pow y 2)) 1))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* y (+ x (/ z y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* -1/720 (pow y 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1/720 (pow y 5)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* -1/720 (pow y 3)))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (* -1 (cos y)))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ z y))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1 (* (pow y 5) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (neg z) #s(hole binary64 (* -1 z))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* z (+ 1 (/ (* x y) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* z (- (/ x (* y z)) 1/2)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x y) z)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* (+ (* -1/2 z) (/ x y)) (* y y)) (+ (* -1/2 z) (/ x y)) -1/2 (/ x y) (* y y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (* (* (+ (* (* y y) -1/720) 1/24) y) y) (* (+ (* (* y y) -1/720) 1/24) y) (+ (* (* y y) -1/720) 1/24) -1/720 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (neg z) x) (/ (cos y) -1)) (/ (neg z) x) (neg z) (/ (cos y) -1) -1) |
| 5.0ms | y | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* (+ (* -1/2 z) (/ x y)) (* y y)) (+ (* -1/2 z) (/ x y)) -1/2 (/ x y) (* y y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (* (* (+ (* (* y y) -1/720) 1/24) y) y) (* (+ (* (* y y) -1/720) 1/24) y) (+ (* (* y y) -1/720) 1/24) -1/720 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (neg z) x) (/ (cos y) -1)) (/ (neg z) x) (neg z) (/ (cos y) -1) -1) |
| 4.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* (+ (* -1/2 z) (/ x y)) (* y y)) (+ (* -1/2 z) (/ x y)) -1/2 (/ x y) (* y y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (* (* (+ (* (* y y) -1/720) 1/24) y) y) (* (+ (* (* y y) -1/720) 1/24) y) (+ (* (* y y) -1/720) 1/24) -1/720 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (neg z) x) (/ (cos y) -1)) (/ (neg z) x) (neg z) (/ (cos y) -1) -1) |
| 4.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* (+ (* -1/2 z) (/ x y)) (* y y)) (+ (* -1/2 z) (/ x y)) -1/2 (/ x y) (* y y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (* (* (+ (* (* y y) -1/720) 1/24) y) y) (* (+ (* (* y y) -1/720) 1/24) y) (+ (* (* y y) -1/720) 1/24) -1/720 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (neg z) x) (/ (cos y) -1)) (/ (neg z) x) (neg z) (/ (cos y) -1) -1) |
| 3.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* (+ (* -1/2 z) (/ x y)) (* y y)) (+ (* -1/2 z) (/ x y)) -1/2 (/ x y) (* y y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (* (* (+ (* (* y y) -1/720) 1/24) y) y) (* (+ (* (* y y) -1/720) 1/24) y) (+ (* (* y y) -1/720) 1/24) -1/720 1/24 1/2 1 (+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (* (/ (neg z) x) (/ (cos y) -1)) (/ (neg z) x) (neg z) (/ (cos y) -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 2798 |
| 0 | 515 | 2701 |
| 1 | 2488 | 2686 |
| 0 | 8438 | 2568 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
(*.f64 y y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x)) |
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
(/.f64 (cos.f64 y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* y x) z) #s(hole binary64 z)) |
#s(approx (+ (* y x) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (+ (* -1/2 (* (pow y 2) z)) (* x y)))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (+ (* -1/2 z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (neg z) x) #s(hole binary64 (* -1 (/ z x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* x (+ y (/ z x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* x (+ y (* -1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* x (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ (* (pow y 2) z) x))))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* y (+ x (* -1/2 (* y z)))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) y))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1/2 y))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* y (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* y (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (- (* 1/24 (pow y 2)) 1/2))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) #s(hole binary64 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* 1/24 y))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* y (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow y 2))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x)))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x)))) |
#s(approx (/ (cos y) -1) #s(hole binary64 -1)) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* 1/2 (pow y 2)) 1))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* y (+ x (/ z y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* -1/720 (pow y 6)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1/720 (pow y 5)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* (pow y 5) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* -1/720 (pow y 3)))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (/ (cos y) -1) #s(hole binary64 (* -1 (cos y)))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ z y))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1 (* (pow y 5) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) #s(hole binary64 (* -1 (* (pow y 5) (- (+ 1/720 (/ 1/2 (pow y 4))) (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (neg z) #s(hole binary64 (* -1 z))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* z (+ 1 (/ (* x y) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* z (+ (* -1/2 (pow y 2)) (/ (* x y) z))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* z (- (/ x (* y z)) 1/2)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* y x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x y) z)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))))))) |
#s(approx (+ (* -1/2 z) (/ x y)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))))) |
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y |
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(/.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (cos.f64 y))) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (neg.f64 z))) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)) (*.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (cos.f64 y) (neg.f64 (neg.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 z) x) (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) x) (cos.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 z x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 z x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 x)) |
(/.f64 (neg.f64 z) x) |
(neg.f64 (/.f64 z x)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(neg.f64 z) |
(*.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 (cos.f64 y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (cos.f64 y)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) |
#s(approx x x) |
#s(approx (+ (* y x) z) z) |
#s(approx (+ (* y x) z) (fma.f64 y x z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (+.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (*.f64 y x)) z)) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (*.f64 y x))) |
#s(approx (+ (* -1/2 z) (/ x y)) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* -1/2 z) (/ x y)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) x)) |
#s(approx (/ (neg z) x) (/.f64 (neg.f64 z) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
#s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) y) x)) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) z) x) #s(literal -1/2 binary64) y) x)) |
#s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (sin.f64 y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) z)))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 y) (/.f64 z x)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x)) (neg.f64 y)))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (*.f64 y y) z) x) #s(literal 1/2 binary64) (neg.f64 y)))) |
#s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
#s(approx (/ (sin y) z) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)) |
#s(approx (/ (sin y) z) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (/ (sin y) z) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y)) |
#s(approx (+ (* -1/2 z) (/ x y)) (/.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 #s(literal -1/2 binary64) y)) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y)) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
#s(approx (* (* (+ (* (* y y) -1/720) 1/24) y) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y)) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) (*.f64 #s(literal 1/24 binary64) y)) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)) |
#s(approx (+ (* (* y y) -1/720) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* (* y y) -1/720) 1/24) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x)) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) x) (*.f64 y y) (/.f64 z x))) |
#s(approx (* (/ (neg z) x) (/ (cos y) -1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) x) (*.f64 y y) (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 z x))) |
#s(approx (/ (cos y) -1) #s(literal -1 binary64)) |
#s(approx (/ (cos y) -1) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (cos y) -1) (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (cos y) -1) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (/ (sin y) z) (/.f64 (sin.f64 y) z)) |
#s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y) y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 x y))) (*.f64 y y))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
#s(approx (+ (* (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 (-.f64 (+.f64 (pow.f64 y #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/720 binary64))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/720 binary64))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/720 binary64))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (* y y) -1/720) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) |
#s(approx (+ (* (* y y) -1/720) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/720 binary64)) (*.f64 y y))) |
#s(approx (/ (cos y) -1) (neg.f64 (cos.f64 y))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 y) (-.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (neg.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (* (- (* (* (+ (* (* y y) -1/720) 1/24) y) y) 1/2) y) (neg.f64 (*.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (* (+ (* (* y y) -1/720) 1/24) y) (*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 y x))) |
#s(approx (neg z) (neg.f64 z)) |
#s(approx (+ (* y x) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)) z)) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) z)) |
#s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (neg.f64 (cos.f64 y))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (neg.f64 (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 z) (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 y x) z))) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 z) (/ x y)) (* y y)) (*.f64 (neg.f64 z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 y x) z))))) |
#s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) (*.f64 z y)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 (/.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) z)))) |
Compiled 4 317 to 1 973 computations (54.3% saved)
38 alts after pruning (28 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 10 | 321 |
| Fresh | 3 | 18 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 315 | 38 | 353 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 78.2% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 48.3% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ✓ | 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
| ✓ | 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | 90.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 90.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) x (cos.f64 y)) z)) | |
| 59.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) z)) | |
| 79.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) z)) | |
| 41.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 59.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 44.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 49.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) | |
| 32.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) | |
| 46.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 34.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)) | |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) #s(approx (/ (cos y) -1) (neg.f64 (cos.f64 y))))) x)) | |
| ✓ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
| 32.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) | |
| 34.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| ✓ | 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 3.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) | |
| 69.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) z))) | |
| 9.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) | |
| ✓ | 9.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
| 4.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) | |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| 6.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) | |
| ✓ | 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 37.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 37.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 86.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))) | |
| ✓ | 39.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 1 303 to 1 026 computations (21.3% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) #s(approx (/ (cos y) -1) (neg.f64 (cos.f64 y))))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (neg (* (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) z)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 (cos.f64 y)))) z))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 29.0ms | z |
| 13.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) #s(approx (/ (cos y) -1) (neg.f64 (cos.f64 y))))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 (cos.f64 y) #s(literal -1 binary64)))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
4 calls:
| 28.0ms | y |
| 10.0ms | z |
| 10.0ms | x |
| 10.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 90.6% | 3 | x |
| 78.2% | 1 | y |
| 86.3% | 3 | z |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
4 calls:
| 18.0ms | x |
| 9.0ms | z |
| 8.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 78.3% | 4 | y |
| 75.6% | 3 | z |
| 77.9% | 3 | x |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
2 calls:
| 22.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 3 | y |
| 60.2% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (/.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 #s(approx (+ (* -1/2 z) (/ x y)) (*.f64 (-.f64 (/.f64 x (*.f64 z y)) #s(literal 1/2 binary64)) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal -1/720 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 #s(approx (+ (neg (/ (* (sin y) x) z)) (neg (cos y))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (/.f64 x z)) y) #s(literal 1 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 8.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | x |
| 52.4% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 52.4% | 1 | z |
| 52.4% | 1 | y |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 1 | y |
| 43.6% | 3 | z |
| 39.1% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 42.3% | 2 | x |
Compiled 11 to 17 computations (-54.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
2 calls:
| 61.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 1 | z |
| 39.1% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.427861291345322e-102 | 1.8316226027096102e-96 |
| 17.0ms | -1.1156869494146783e+74 | -9.14335347701263e+69 |
| 24.0ms | 272× | 0 | valid |
Compiled 352 to 388 computations (-10.2% saved)
ival-sin: 8.0ms (45.4% of total)ival-cos: 7.0ms (39.7% of total)ival-mult!: 3.0ms (17% of total)ival-add!: 1.0ms (5.7% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.2781773865657038e-11 | 5.982830726980246e-10 |
| 6.0ms | -1.1156869494146783e+74 | -9.14335347701263e+69 |
| 12.0ms | 160× | 0 | valid |
Compiled 342 to 374 computations (-9.4% saved)
ival-sin: 4.0ms (47% of total)ival-cos: 3.0ms (35.3% of total)ival-mult!: 2.0ms (23.5% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.4700413036677448e-18 | 3.937325582998561e-12 |
| 10.0ms | -0.23734287051450617 | -0.003365720341604881 |
| 14.0ms | 256× | 0 | valid |
Compiled 396 to 430 computations (-8.6% saved)
ival-sin: 3.0ms (38.9% of total)ival-cos: 2.0ms (25.9% of total)ival-mult!: 2.0ms (25.9% of total)ival-add!: 1.0ms (13% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -7.611870722836504e+228 | -4.095588961064176e+223 |
| 12.0ms | 144× | 0 | valid |
Compiled 246 to 266 computations (-8.1% saved)
ival-sin: 4.0ms (47.9% of total)ival-cos: 3.0ms (35.9% of total)ival-mult!: 1.0ms (12% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | fuel |
Compiled 81 to 57 computations (29.6% saved)
Compiled 89 to 65 computations (27% saved)
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